• Author / Uploaded
• Roslyn Jamieson

Citation preview

T h e Scientific Basis of the Predictive Art commonly called Astrology : to which is added a Complete Set of Tables with Emendations

and

New

Rules for the use of Students.

By

"

SEPHARIAL "

Author of The Manual of Astrology, Lectures on Astrology, Hindu Astrology after Pardshara, etc.

L. N. FOWLER, 7, IMPERIAL ARCADE,LUDGATE CIRCUS,E.C.

CONTENTS.

CHAPTER I. The Use of an Ephemeris.-Nautical Almanack. T h e Speculum ; Latitude ; Declination ; Rt. Ascension ; Meridian Distance ; Semi-arc ; Horizontal Arc ; Cuspal Distance ; Use of Tables ; Proportional Logarithms. CHAPTER The Horoscope of King Edward VII.-Figure of Heavens at Nativity; Speculum of Planets' Elements; Signs of Accession. CHAPTER 111. Primary Directions,-Vhat a Direction is ; Mundane Directions ; Zodiacal Directions ; How Arcs are formed ; Illustration of Planetary Arcs ; Direct and Converse Directions. CHAPTER IV. Mundane Directions.-The Conjunction in Mundo ; Examples : Venus to conjunction Moon ; Sun to conjunction Jupiter ; Uranus to conjunction Ascendant ; Saturn to conjunction Mid-heaven. CHAPTER V. Aspects in Mu?ido.-How measured ; Examples : Sun to trine Neptune; opposition and sesquiquadrate aspect of same ; Converse Solar directions to Neptune; Why converse directions cannot be pre-natal as asserted ; Saturn to Aspects of Ascendant ; Venus to Aspects of Mid-heaven; Mid-heaven to Aspects of the S u n in Mundo. CHAPTERVI. Parallels in Muttdo.-The nature of Mundane Parallels ; Validity of Horizontal Parallels ; Examples : upiter to parallel Moon ; Moon to parallel Jupiter ; Sun to orizontal parallel Neptune; Sun to horizontal parallel Saturn. CHAPTERVII. Rapt Parallels.-Direct and Converse Parallels ; Rule to compute Rapt Parallels; Examples : Moon and Saturn to Rapt Parallel on upper meridian ; Moon and Sun to Rapt Parallel on the same ; Sun to Rapt Horizontal Parallel : Jupiter to Rapt Horizontal Parallel. CHAPTER VIII. Zodiacal Directions.-Similar to Mundane Directions ; direct and converse ; Why Parallels are not valid. Conjunctions in Zodiac.-Method of directing; CHAPTERIX. Examples : Mid-heaven to conjunct Moon in Zodiac; Mid-heaven to conjunct Saturn ; Ascendant to conjunct Uranus ; Ascendant to

n.

I

conjunct Sun ; Venus to conjunct Moon ; Sun to conjunct Saturn ; An unique direction of Moon to conjunct Moon. CHAPTER X. Aspects in Zodiac.-Aspects of longitudes ; Method of directing ; Examples: Mid-heaven square Moon in Zodiac ; Midheaven sextile Sun ; Ascendant sextile Jupiter ; Ascendant opposition Moon ; Sun to opposition Neptune ; Moon to square Sun ; Venus to sextile Moon ; Direct and converse directions. CHAPTERXI. Order of Directing. Necessity for Method i n work ; Order of Procedure ; Mundane category ; Zodiacal category ; Use of terms Mid-heaven and- Meridian, Ascendant and Horizon ; Concluding remarks. CHAPTERXII. Effects of Directions.-House position ; Good and evil aspects ; Significators : Mid-heaven, Sun, Moon, Ascendant ; Effects of Uranus' directions; Saturn's effects-Jupiter's, Mar's, Venus's; Effects of Sun, Moon, and Mercury; The Measure of Time ; When directions operate. CHAPTERXIII. S1mnaary.-Sir Isaac Newton, Kepler, Tycho Brahe in relation to Astrology ; Every Astrologer in honourable company. * CHAPTERXIV. The Part of Fortune.-An Ancient Symbol ; its signification ; How to calculate its position in the Prime Vertical; Example from Royal Horoscope; Serni-arc of Part of Fortune; Examjles of directions to Part of Fortune ; Jupiter to conjunction ; Moon to square aspect ; Uranus to square aspect. CHAPTER XV. Lunar Parallax.-Definition of Parallax ; Parallax of Sun and planets ; Of the Moon ; Illustration of Parallactic angle: Apogee and Perigee; Moon's Anomaly; Motion of Apogee of Moon; Parallax determined by Anomaly; Anomalistic Tables ; Example of their use ; Sepharial's Chord of Parallax ; Example of its use; Part of Parallax due to Zenith distance ; Correction of Moon's place by Parallax ; An open question ; Semi-diameters of Sun and Moon to be applied to arcs of direction. CHAPTERXVI. The Houses of the Heavens.-Truth sacrificed* for convenience ; House-space of a planet not uniform ; Illustration of inequality of House-space ; Calculation of the Cusps of Houses ; Illustration of unequal House-space ; Proofs of the new statement ; Effect upon Arcs of Direction. 'CHAPTER XVII. Lunar Equation.-Planetary influence continues after birth ; Directions to the places a t Nativity and to the actual places ; Example of Moon's place directed to Western horizon and compared with Moon's setting. A P P E N D I X . - T ~ ~of ~~S Right Ascension and Declination, and Ascensional Difference for London, Birmingham and Liverpool. Tables of Proportional Logarithms.

FOREWORD I Npublishing this short treatise on Primary Directions for the use of students of Prognostic Astronomy, I am conscious of invading systems already in repute, but I 'trust I have not done so without due cause. Most books on the subjec't, while aiming at mathematical precision, embody too much of what is already weighted with traditional error, and they fail entirely to convey a simple conception of what is being done and the reason 'for doing it. I have therefore endeavoured t o render 'every operation a s intelligible as possible by means of -diagrams relating to the case I have chosen to illustrate the subject ; and a set of tables has been added to the work in order to facilitate calculations. I t is presumed that the reader is already acquainted with the elements of the science and can set a figure of the heavens for any given time and place. Unlike the majority of ¥writers who bewilder the student with technical terms and explain them at the end of a work, I have thought fit to begin with a Glossary of Terms. Having written for the past eighteen years on the subject of planetary influence in human life, it will hardly be necessary to elaborate the¥argumenin this place. Those who deny such influence esteem their premature opinion as of greater weight than the mature conclusions of those who have given the matter long and arduous study, and it is not a n uncommon experience that such egotists have but the most superficial knowledge of the subject they contemn. I t remains for 'the intelligent truth-seeker to construct his own horoscope and compute the various arcs of direction b y the methods herein set forth, before pronouncing a verdict on a subject-which has fascinated

the minds of many great men in all ages, and for which, not without reason, is claimed a place among the sciences as an essential part of natural physics-possibly also the key to much that goes under the names of psychology and metaphysics. Those who are acquainted with the nature of Hertzian waves and the phenomena attaching to wireless telegraphy, will have little difficulty in conceiving the idea of planetary actions, v i a the ether of space, upon the brain-cell batteries of human beings. If the planetary bodies by their conjunctions and aspects are capable of creating disturbances in the Earth's atmosphere, as follows from the concept of the solidarity of the Solar System and that of the continuity of Matter, they are also capable of producing electrical disturbances in highly-charged brain cells by means of the Earth's atmosphere; and that one brain can affect others is a fact well within our knowledge. Every act of cerebration is accompanied by an electrical discharge and the breaking down of the walls of brain cells. The electrostatic condition of the Earth's atmosphere at the moment a child draws its first breath is the basis of individual brain activity. I t is like the charging of a battery of a given capacity and quality. Any subsequent change in the Earth's condition will be expressed by the individual in terms of his particular brain development. Influences which create great disturbance in one brain will be scarcely registered by another, for there are qualities a s well as quantities of electrical action, and astral science has already tabulated 6,132 different modes of planetary action. When these modifications of the ether of space are related to the wide diversities of brain development, the complex of human thought and action is fully accounted for. The system of Prognostic Astronomy explained in these pages is primarily due to Claudius Ptolemy, who' lived in Alexandria in the time of Antoninus, about the beginning of the second century A.D. H e rendered immense service to his time, and, indeed, to modern science, by compiling the longitudes and latitudes of all known places, and in laying the foundation of the

method of projecting geographical charts. H e was also th6 author of a treatise upon optics, in which he explains the cause of the refraction of light, and also wrote upon music, chronology, the Gnomon, and mechanics. H i s genius was as diverse as his intellect was great, and t o his patient toil modern Astronomy owes the Almagest, which gives- an account of ancient eclipses and their connection with current events, observations of stars, and a canon of the kings of Assyria, Persia, Greece and Rome, and which, "considered as a depository of ancient observations, is one of the most precious monuments of antiquity " (Laplace: Systeme dzi Monde). Astronomy is to Astrology what the body is to the soul that quickens and inspires it. T h e dry facts of Astronomy are of interest and value only to the extent that they may be brought into relation with the daily life of mankind. The gospel of true science is utility. Sir Norman Lockyer is at present engaged in an attempt to apply the phenomena of Sun-spots to the times and places of great drought and famine, believing to have observed a relationship of the celestial and terrestrial facts. H e has given some years of study to the subject and hopes, in measurable time, to be able t o locate the exact provinces in which the Sun-spots will do their sterilising work. Further, Sir Norman has discovered a coincidence between the prevalence of Sunspots and the Nile tides, which reduced to a word is this: Famine years in India are low-tide years in the Nile, and both are controlled by the prevalence of Sunspots. This is the true Evangel of Science, for, as Lord Bacon said: "The real use of all knowledge is this, that we should dedicate the reason which was given u s by God to the use and advantage of man." Sir Norman Lockyer will take his place among the ranks of the prophets and scientific astrologers will give him a warm welcome. In ancient days the Nile tides were studied by the Hyksoi-Shepherd-Kings and Patriarchs -and by the Egyptian Eshpayim, in relation tocelestial phenomena, and in course of time, as the search progresses, it will be found that the rents in the luminous

envelope of the Sun, commonly known as '& Sunkpots," have direct relation to the periodic ratios of the planets Jupiter and Mars. In regard to planetary action upon individuals, it ¥woulappear that, a s the direct rays of the celestial bodies are more powerful than their oblique rays, the electrical disturbances due to the planets when acting in conjunction, or a t certain angles called 4 6 aspects," will be greatest in the Equatorial region. Thence the energy generated would be distributed towards the Poles. From varied and continuous observations it is evident that the geocentric configurations of the planets affect the world generally, according to the natures of the planets involved. But this affection is reflected by the individual according to the positions of the planets as seen from the place of his nativity, and at the moment of that event. Thus all inter-planetary action is universally "distributed and reflected by the individual, according to natural susceptibility or predisposition, at times which are measured by the arcs of direction, Le., the degrees of Right Ascension between one body and another, or one body and the aspect o f another, as seen from the place of birth. This measure of Time in reference to the events of life is the main purpose of this work, which 1 trust will attract the attention of competent critics.

SEPHARIAL.

PROGNOSTIC ASTRONOMY -

-

C H A P T E R I.

THEUSE OF EPHEMERIDES AND TABLES AN Ephemeris, to be of much use to the student of Prognostic Astronomy, must contain the geocentric ¥longitudesthe declinations and latitudes of all the celestial bodies of the solar system for each day at noon throughout the year. T h e Nautical Almanac is a reliable Ephemeris and contains all the elements necessary for computing a figure of the heavens for any given time. But the French Ephemeris known a s the Connaisance de T e e s is preferable, since it gives the geocentric longitudes of the planets, as well as the apparent Right Ascension and other elements contained in the British Nautical Almanac. T h e equation of longitude due to any meridian other than that of Paris is of course readily effected by simple proportion of the diurnal motions of the several bodies. , From this, or any other reliable Ephemeris, the plane:tary Speculum is constructed., T h e following definitions of the elements of the speculun~,and the method of their calculation, will be of service to the beginner. The first column will contain the Symbols of the bodies ¥o the Solar System, viz..: T h e Sun, Moon, Neptune, fUranus, Saturn, Jupiter, Mars, Venus, and Mercury. T h e second column will contain their Latitudes.

Celestial latitude is the distance of a body North or South of the Ecliptic or Sun's path in the heavens. The Sun, therefore, has no latitude. The Ecliptic crosses the Equator of the Earth at an angle of about 23O27', subject to a slight annual din~inutionof no practical account for many years together. The points of intersection are known as the Equinoxes. T h e Ephemeris gives the latitude daily at noon and by proportion it can be found for any intermediate hour. The third column will contain the ~eclinations. Declination is distance N. or S. of the Equator, expressed in degrees and minutes of a circle. The declinations of the planets and of the Sun and Moon will be found for noon each day in the Ephemeris. The fourth column will contain the Right Ascensions. The Right Ascension of a body is its distance from the vernal Equinox measured in degrees and minutes on the Equatorial circle. In the Nautical Almanac the apparent Right Ascension of the different bodies is expressed in hours, minutes and seconds. In these terms the whole circle of the Equator is equal to twenty-four hours. T h u s :

34 hours = 360 degrees. I hour = 15 degrees. 4 minutes = I degree. The tables constructed for the appendix of this treatise give the R i g h t Ascension of every degree of the Ecliptic, and a body without latitude has the same Right Ascension as its longitude. For a body having latitude the Right Ascension has t o be calculated by the formula : - L o g . cos. (arith. comp.) declin. + log. cos. latitude log. cos. distance in longitude from nearest Equinox = log. cos. of the Right Ascension from the same Equinox. The fifth column will contain the Meridian Distances of the planets. . The Right Ascension of the meridian degree of the horoscope beingknown,together with the Right Ascension of the various bodies,,the degrees and minutes of Right

+

Ascension which separate these bodies from the nearest meridian constitute their meridian distances, which will always be less than go0. The sixth column will contain the Semi-arcs of the planets. ' The semi-arc of a planet is half the time (expressed in degrees and minutes) that the body remains above or below the horizon; That arc which the planet describes above the horizon is called the " diurnal " semi-arc, while that below is called the " nocturnal " semi-arc. The one taken from 180Âwill give the other. T o find the semi-arc of a body : Log. tang. of the latitude of place of observation + log. tang. declination of planet = log. sine of the A scensional Difference. I . If the planet be above the horizon in South declination, or below the horizon in North declination, take the Ascensional Difference from go0. 2. If the planet be above the horizon in North declination, or below the horizon in South declination, add the Ascensional Difference to go0. T h e result is the semi-arc of the planet, diurnal if above and nocturnal if below the horizon. The seventh column will contain the Horizontal Arcs. The horizontal arc is the distance a body is in degrees and minutes of Right Ascension from the nearest horizon. The semi-arc, less the meridian distance of a planet, is its horizontal arc. The semi-arc is, in fact, composed of the meridian distance and the horizontal distance, since the semi-arc is the course traversed by a body from its meridian passage to the point where it rises or sets. The eighth and last column of the Speculum will contain the Cuspal Distances of the planets. T h e cuspal distance is used to locate the position of a planet in the circle of observation or prime vertical, and is required in calculating mundane aspects. In passing from the horizon to the meridian, or from the meridian to the horizon, a planet passes through the houses. The time it takes to pass from the cuspof

one house to that of the next on the same side of the horizon is called its house-space, and this arc is, approximately, one-third of the planet's semi-arc. Therefore to find the cuspal distance : Of a planet in a cadent house, i.e., the ninth, sixth, third or twelfth, take its meridian distance from onethird of its semi-arc if in the ninth or third; but the horizontal arc from one-third of its semi-arc if in the sixth or twelfth. Of a planet in a succedent house, i.e., eighth, fifth, second or eleventh, take its meridian distance from twothirds of its semi-arc.. Of a planet in an angle, i.e., first, tenth, seventh or fourth houses, take its meridian distance, or its horizontal arc only, and this, in each case, will give its distance from that cusp to which it is next proceeding. These are all the elements required for t h e construction of a celestial or horoscopical speculum. T H E 'TABLES'

Appended to this treatise contain the Right Ascension and declination of every degree of the Ecliptic from Aries to Virgo, inclusive. The opposite degrees have the same declination, as, for instance, 8 go has declination 14~31' N., so that q g O will have the same declination S. The Right Ascension of the Southern signs of the Ecliptic are found by adding 180Âto the same degree of the opposite Northern sign. Thus the Right Ascension of n l s Ois 73'43' arid, therefore, f 15O has Right Ascension (73O43' I 80°=~ 5 3 ~ 4 3 ' . Against each degree of the Ecliptic is found also its Ascensional Difference for the cities of London, Birmingham and Liverpool, whose latitudes ,are 5i03.z', 52O28', and ~ 3 ~ 2N.,respectively. 5' All places in the same latitudes will have the same amount of Ascensional Difference for the same'point of the Ecliptic. - By subtracting the Ascensional Difference from the Right Ascension of any degree between Aries oo and Virgo 30° or adding it to the Right Ascension of any degree of the Southern 'signs, we have the Oblique Asbeision' of that degree-and also of any celestial body

+

having the same declination as that degree. The opposite process will give the Oblique Desce~zsio~z. The Ascensional Differences can also be used to find the semi-arcs of the planets, since the semi-arcs is always go0. plus or minus the Ascensional Difference due to the declination of the body. The tables, therefore, will be found of extremeutility and by means of simple proportion all the elements. of the speculum, beyond those given in the Ephemeris, can be readily calculated. The chief object of their construction, however, is for use in the calculation of Directions in the Zodiac. PROPORTIONAL LOGARITHMS

In dealing with fractional quantities of a quadrant,. the process of making a proportion is greatly facilitated by the use of these logarithms. Thus in the proportion : As 72'5' is to 3'52' so is 85'9' to x , we should reduce. all the quantities' to minutes, multiply the second and third terms together and divide the result by the first term, and this-operation in its simplest expression would. be 232 51°9 The process would certainly occupy4325 several minutes even for a quick calculator. In the use of logarithms we take out the separatelogarithms for the three terms, add the second and third terms together, and subtract the first ; or take the: first from 10-ooooo and add it to the second and third. term logarithms. Thus :, '

2nd. 3rd.

3O52'

85'9'

log. 1,'

1.66794 -32509

Or. thus :

(Arith. cornp.) and. 3O52' 3rd. 850g1 Ans.

9.60256 1.66794 -32509

--

4O34'

1.59559

Note-The arithmetical complement of a logarithm is what it lacks of ten. As all directions are worked by proportional arcs it will be found expedient to extract the logarithms of the planets' semi-arcs and cuspal distances from the tables, and set them under their proper heads in the columns. T h e constant logarithm of a body is obtained by adding together the arithmetical complement of the logarithm for its semi-arc, and the ,logarithm of its meridian distance, thus : semi-arc 1) 85O28I log.

Merid. Dist.

1) 32'37'

-

(Arith. cornp.) log.

Constant log. of Moon

-

*32348

-

9-67652 .74183 .41835

Whenever the T) is the body to which direction is made, the constant log. 941835 will supply the place of the first and second terms of the proportion. W e have then merely to add to it the log. semi-arc of the body which moves to form the arc of direction, to obtain the log. of its proportional distance. T h e use of the constant log. will be found a great economy of labour, but for the sake of lucidity I shall not make u s e of it i n t h e Examples of Directions given in the following pages. W e may now proceed to the calculation of Arcs of Directions, taking a worthy horoscope as the subject of our study.

CHAPTER 11. THEHOROSCOPE OF H.M. KINGEDWARD VII. ACCORDING to the Official Bulletin published a t the King's birth, this event took place a t ioh. 48m. a.m. on the 9th November, 1841, at Buckingharn Palace, in latitude 51~32'N. and longitude om. 3gsec. W. The calculation of the horoscopical Mid-heaven is as follow :

Sidereal Time, noon, 8th November Time since elapsed Acceleration at 10 sees.

-

Less Circle

Rt. Asc. of Mid-heaven at Birth

-

15

10

o

22

48

o

2

38 4

0

1

48 0

-

14

I

48

3 48

This corresponds to 210~27'. By adding go0o' we obtain 3o0°27'which is the Oblique Ascension of the Ascending degree. By subtracting 180 from the Right Ascension of the Mid-heaven 210'27' we have 30°27for the Right Ascension of the Nadir, or lowest point of the heavens a t the moment of the King's birth. T h e following are the horoscopical figure and speculum.

1 I 1 I 1

Planet. Long.

Lat. Declin. Asc. St.

Mer.

Dist.

Semi- Hor. Ar c A r c .

--O

0

16111.541

-

16s.541224 251 13 58 Log. 1.11018

f

O

f

67 31 53 33

-42586 -52651 -

85 28 52 51 '32348

'53223

-112

14 38 39

-20515

"66812

cusp Dist. 0

I

13 58

1~1i018

4

8

1.63597 1

14

-2-16419 6 54' 1-41642

I t will be seen that the planet Saturn is the most potent in the horoscope, its influence being very sinister. Not only is Saturn rising, being only i033'from the horizon, but it is also in close zodiacal square to the Moon and semi-square to the Sun. The Sun is also afflicted by a square of Neptune, and because of this great affliction of the luminaries it was thought by some astrologers that H.R.H. would never fully assume the office and title of

King. But not only are the luminaries in elevation, but the Sun has the sextile of Mars from its exaltation sign Capricornus, its action being strengthened from its being angular and rising. T h e Moon is proceeding to the mundane trine aspect of Jupiter, while the Midheaven is supported by the trine aspect of Neptune in mundo and the sextile of Saturn in the Zodiac. T h e S u n is near the mundane parallel of Venus and the Ascendant has a mundane trine of the Moon and a near influence of Jupiter. T h e mundane positions are certainly very strong and with five planets above the horizon and no less than seven rising, the full title and honours of kingship would follow as a consequence of this horoscope being that of the true and rightful heir t o the Throne, which God defend. Taking this horoscope a s the illustration of our study, we may pass on to the subject of Primary Directions in Mqndo and in Zodiaco, by which the periods of all great changes in health and fortune may be determined with great accuracy.

CHAPTER

AN arc of direction is the distance which separates one body from another, or one body from the position of another, or its aspect. Such distance is measured by the Equatorial degrees which pass under the meridian from the moment of birth to the moment when the direction is completed. T h e original position of a body, either in the zodiac or in the circle of observation, is always that to which direction is made. Mundane Directions are those which are made to the apparent position of a celestial body, or its aspects, in the circle of observation, or Prime Vertical. Zodiacal Directions are those which are made to the geocentric longitude of a body or to aspects of that longitude, in the circle of observation. All Directions are formed by the rotation of the Earth on its axis, by which the planets are apparently carried from East to West, rising, culminating and setting in the circle of observation ; or by which a localised impress of a planet is carried from W. to E. against the apparent motion of the heavens. T h e lines thus traversed by these bodies are practically parallel to the Equator, and a t distances determined by their declinations. T h e horizon of any place cuts the Equator at an angle equal to its geographical latitude. Careful study of the figure annexed to Chapter XVI. will make the preceding observations perfectly clear. Both the Mundane and Zodiacal Directions may be either direct or converse. Mundane " Direct Directions " are those which are formed by a body moving West-

ward when above the horizon and Eastward when under the horizon. " Converse Directions " are exactly the reverse of this. Some writers have deemed these directions to b e pre-natal, and on first sight it would appear that they are so. Thus, in the horoscope before us, if we bring the Moon to a conjunction with Venus conversely, we direct the Moon along its own arc till it reaches a meridian distance (proportionate to its semi-arc), equivalent to that held by Venus. Here it looks as if we took the Moon backwards to a position it held about an hour before the birth. Such, however, is not the case. The fact is that every planet throws a direct ray to the place of birth a s well as oblique rays in other directions. The direct ray is called its Earth-line, and it is this line which, by the rotation of the earth on its axis, is carried from West to East, conveying th-3 localised influence of that one body to a point wheie it meets the localised influence or Earth-line of another body that is following i t in the heavens. Therefore all directions are formed by the one natural fact of the Earth's rotation. The more important directions are those made to the meridian, horizon, their zodiacal equivalents8(theMid-heaven and Ascendant), and the Sun and Moon. All these Significatovs, as they are called, are themselves directed to the planets. The method of calculating Arcs of Direction may now be explained, and examplesof every kind of direction adduced in illustration.

CHAPTER IV.

A SIGNIFICATOR or planet may be directed in mundo t o a conjunction, aspect, parallel, or rapt parallel of another. T h e body (or its aspect) to which direction is made, is supposed to remain stationary, while the directed body moves to it along its own arc. The universal formula for all directions, whether mundane or zodiacal, is as follows :As the semi-arc of the stationary body or aspect Is to its meridian, horizontal, or cuspal distance, So i s the semi-arc of the moving body To its proportional distance.

T h e difference between this proportional distance of t h e moving body and its original distance is the

Arc of Direction. CONJUNCTION I N MUNDO

Bring the body directed along its own arc till it reaches the body of another a s seen from the place of birth. EXAMPLES I.

Direct Venus to conjunction with Moon in mundo. As Semi-arc

D 85'28' p. log.

-32348 (a.c.)

To Merid. Dist. ) 32'37' To Semi-arc ? 82'26'

--

To Prop. Dist. 1st Dist.

Are of Direction

? 31'28' ?12' 3'

19'25'

p. log.

,,

-

,,

Â¥7575

,, ? d

9.67652 .74183 -33917

D

mundo.

This is a d i m < direction of Venus in mundo. It produced pleasant experiences abroad and led toward marriage. Venus is in the ninth house (foreigners) and the T) on its cusp. 2. Direct the Sun to conjunction with Jupiter i n mundo. Semi-arc

V 57O44' log.

Merid. Dist. Semi-arc

~ 9 6 ,,' 667031' ,,

Prop. Dist.

.

1st Dist.

Arc of Direction

(a.c.)

-

058~47' ,, 0 13~58' ,,

m. con.

4404gr 0 rf

This is a converse direction of the Sun. T h e Sun's. Earth-line is carried Eastward by the rotation of the Earth till it coincides with Jupiter's Earth-line. I t was fortunate in relation to equine sports, l(. being in the twelfth in 1 . 3. Direct Uranus to conjunction Ascendant in mundo. T h e meridian distance subtracted from the semi-arc of Uranus will give the planet's distance from the horizon, or horizontal arc, as shown in the speculum, viz., Arc of Direction, I# d Asc. 56'51'.

This direction signifies accidents to the limbs and feet, also complications in finance, as tf is in t h e second house at birth. 4. Direct Saturn to conjunction Mid-heaven in mundo. The Right Ascension of Saturn minus Right Ascension of Mid-heaven will give the meridian distance of Saturn, as already shown in the speculum. This is the Arc of Direction, 5

rf

M.C. 5g043'.

This influence is evil for life and fortunes, liable to. generate serious illness and to produce depression in affairs of State. Saturn afflicting the Ascendant at birth renders its influence more evil.

C H A P T E R V.

MUNDANEaspects are measured from the cusps of the houses. Thus : a planet being on the cusp of the eleventh house will be in mundane sextile 60Âto the Ascendant, and in square go0 to another planet which may be on the cusp of the eighth house. A planet in the middle of the second house would be in semi-square 45O to the Ascendant, and in sesquiquadrate lyjOto the Mid-heaven. Therefore to direct a planet to the aspect of another in mundo, we have to bring it to an equivalent distance from the cusp of that house in which the aspect is formed. t

EXAMPLES

I. Bring the Sun to a trine of Neptune in mundo. Neptune is i014' inside the cusp of the second house ; we must .therefore direct the Sun to an equivalent distance inside the cusp of the tenth.

Semi-arc

(~ÈIIZOI~ log.

Cusp. Dist.

V

Semi-arc

1'14' 0 67'31'

,, ,,

Prop. Dist. 1st Dist.

0 0'45' 0 13'58'

,,

Arc of Direction

--

.20515

(a.c.)

,,

9.79485 2-16419 .42586

--

2.38490

13~x3'O A Y m.

Having determined the arc of any one aspect in

mundo we have only to add or subtract, successively, one-sixth, one-third, one-half, or two-thirds of the setniarc of the directed body, in order to obtain all its other aspects, both direct and converse. Thus :Arc of Direction & Semi-arc

-

13 11

Arc of Direction A Semi-arc

-

24 28 0 Q y mundo. 33 45

Arc of Direction,

-

58 13 0 8ql mundo.,

13 Q ~ y r n u n d o . 15

These are direct directions in mundo. For the converse we bring the Sun along its own arc into the eleventh and twelfth houses. Sem'i-arc Mer. Dist.

Dist. from 11th Add Prop. Dist.

-

Arc of Direction Semi-arc

-

Arc of Direction Semi-arc

-

A rc of Direction

-

-

-

, 8 3 2 0 45

g

17 0 u y m. con.,

22

30

31 47 11 15

-

0 36 V m. con.

43 0~ym.con. 2

These are converse directions, and are formed by the rotation of the Earth on .its axis from W. to E., the localised influence of the Sun, which is originally 13'58' E. of t h e meridian, being carried eastward, to points in the circle of observation where it meets the localised influence of the planet Neptune. Note.-If, as some have erroneously stated, these converse directions are pre-natal, the Sun itself being directed to a place it occupied so many hours and minutes before birth, then the. whole process is falsely conceived. For it must be apparent to the meanest intellect that kh'en the' Sun was 0°45 from 'f the cusp of

the twelfth house, Neptune had not yet arrived at the equivalent distance from the cusp of the second-where we find it at the birth-but was close to the cusp of the third house. Therefore the Sun itself cannot be conversely directed to the sextile of Neptune's radical place in mundo, for how can a body support a position that is not yet assumed ? I t is the local impress of the solar influence at birth which is carried backward to form aspects with the radical place of Neptune, and the single axial motion of the Earth from W. to E. is the sole basis of all directions, whether direct or converse, mundane or zodiacal. 2. Bring Saturn to its aspects of the Ascendant in mundo. 0

Hor. Arc of $ 4 Semi-arc

-

I

33 29 5 I

$ d Asc. m.

-

30 38 $ L Asc. m. 9 42

Arc of Direction 3 Semi-arc

-

40 20 I9 23

^*ASC.~.

Arc of Direction

-

59 43

1?

Arc of Direction Semi-arc

ASC.m.

Note.-The mundane conjunction of Saturn with ' also the arc of 5 a Mid-heaven in Ascendant 1 ~ 3 3 is mundo, and 5 a Ascendant m. 59'43' is also the arc for 5 rf M.C. in mundo. For the converse directions of Saturn in mundo we have to take the contra-semi-arc (Nocturnal) of Saturn as he is below the horizon when forming these aspects : 0

I

o

From Diurnal Semi-arc

-

180 58

10

,,

-

121

50

One-half ,, Hor. Arc $

-

Nocturnal

-

60 55 1 33

-

Arc of Direction Semi-arc

-

-

Arc of Direction,

3. Bring Venus mundo.

10

Venus Semi-arc One-half ,, Mer.. Dist. .

Arc o/Direction 3 Semi-arc

-

Arc of Direction

22

18

79 40

12, f

'2

Asc. m.

* Asc. m.

aspects of the Mid-heaven. in,

-

Arc of Direction & Semi-arc

59 20

29 10 ? f M.C. m. 1344 42 54 27 29

?

70 23

? a M.C.m.

M.C.m.

This latter aspect of $ to M.C. is the same as the mundane opposition to the Ascendant, and is measured by the horizontal arc of Venus. These mundane directions of the planets to the Midheaven and Ascendant are extremely simple and facile, being merely a part of the semi-arc less the meridian distance of each planet.. The conjunctions, oppositions and quadratures are already included in the speculum under the meridian distance and horizontal arc of each planet. 4. Bring the Mid-heaven to aspects of the Sun in mundo. Here we have to bring the meridian degree "nfs038' along its own arc to equivalent distances from the cusps 3 v ' of the houses in proportion to the Sun's distance, 1 from tenth. Semi-arc

067 31 log.

Mer. Dist. 013 58 ,, Semi-arc M.C. 73 56 ,, ,

(a.c.)

-

-42586 9'57414 1~11018 -38643

Prop. Dist. M.C. 15 18 log. A Semi-arc 36 58

A re o f Direction Semi-arc Arc of Direction & Semi-arc Arc of Direction

21 12

1.07075

40 M.C. L o mundo. 19

-

,

33 59 M.C. 24

* 0 mundo.

39

58 38 M.C. 0 0 mundo.

-

The Ascendant is directed in the same way to mundane aspects by a proportion of its semi-arc to those of the planets.

CHAPTER VI.

A M U N D A N E parallel is formed by one planet coming t o an equivalent distance on one side of the meridian or horizon as another body on the other side of the same meridian or horizon. A parallel can therefore be formed by the approach of a body to the upper and lower meridians and to the east and west horizons, Note.-Some writers on this subject have repudiated the parallels formed upon the horizon, but without adducing adequate reason for so doing, and, indeed, tradition has been allowed too much weight on many points of vital moment. Yet the same writers have not denied the validity of parallels formed on the same side of the meridian, one south and the other north, as in the fourth and ninth houses, the tenth and third, nor have they seen that planets thus placed must be at equal distances from the horizon ! The rule is the same as for the aspects., i.e., as the semi-arc of the stationary body is to its meridian distance (or horizontal arc), so is the semi-arc of the moving bodyto its proportionate meridian or horizontal distance. EXAMPLES I . Bring Jupiter to a meridian parallel of the Moon. The Moon is near the cusp of the ninth house. W e must, therefore, bring Jupiter up to the eleventh to form the mundane parallel., 0

r

Semi-arc

D 85 28 log.

Mer. Dist. Semi-arc

D32 37 11-57 44

-32348

-(a,~.)

s* *S

-

9'67652 .74183 '49385

Prop. Dist. 1st Dist.

.91220

log.

50 16

28 14 3 par.

Arcpf Direction 2.

2

.22

-

D mundo.

Bring the Moon to the meridian parallel of Jupiter.

This is the reverse of the above problem. 0

I

Semi-arc

357 44 log.

Mer. Dist. Semi-arc

2/50 16 ,, £8 28

Prop. Dist. 1st Dist.

D74 25 D32 37

(a.c.)

-

11

-

Arc of Direction

-49385

41 48

9'50615 -55399 .32348 -38362

1) par. 2j mundo.

3. Bring the Sun to the horizontal parallel of Neptune. 0

1

Semi-arc

Y112

Hor. Arc Semi-arc

f 38 39 0 67 31

Prop. Dist. 1st Dist.

0 23 15 0 53 33

-

14 log.

,20515

(a.c.)

Arc ef Direction

.-

9.

--

IS

30 18

9-79485 .66812 .42586

*88883

.I

0 par.

(f

mundo.

This is a converse direction of the Sun to an equivalent distance from the horizon to that of Neptune. 4. Bring the Sun to a horizontal parallel of Saturn. Semi-arc

-

5121 50 log.

-1695I

8

'?

(a.c.)

Hor. Arc. Semi-arc

33 0 67 31

Prop. Dist, 1st Dist.

0 0 52 ,, 0 53 '33

Arc of Direction

1

,a

52 41

-,

0 par.

9.83049 2'0'5494 -42586 2.32129

5 mundo

T h e nocturnal arc of Saturn in relation to its horizontal distance is here taken as in the preceding case of Neptune, and the Sun is brought conversely to an equivalent distance from the horizon on the south side as Saturn is on the north. Whatever may be the opinion of others, in my experience these parallels are of considerable efficacy and fall naturally into line with other directions of similar import occurring at or about the same time. L L Raphael " (R. C. Smith) in his Manual, after defining the mundane parallel as the same distance on opposite sides of the meridian, remarks that he has not found those formed upon the horizon to be significant. Later writers, however, are not of the same opinion, for we continually find that a parallel formed upon the same side of the meridian but in different quadrants, is admitted into the category of operative directions. Now, two bodies at equivalent distances on the same side of the meridian, and in different quadrants, are at equivalent distances on opposite sides of the same horizon ; and as the parallel is more correctly defined by " an equivalent distance on opposite sides of an angle," I have employed the horizontal distance instead of the meridian distance of the Sun in directing it to a mundane parallel with Saturn. T h e result is the same if we bring 0 to an equivalent from the tenth as Saturn is from the fourth. Semi-arc

'? 120

(a.c.)

Mer. Dist. Semi-arc

0 67

Prop. Dist. 1st Dist.

0 66 40 0 13 58

Are a/ Direction,

-

5 121 50 log:

52

17 31

42

#I

,,

-

-16951 9.83049 ¥I750 -42586 ¥4314

0 par.

5 mundo.

I t will be expedient to distinguish between parallels formedon the meridian and those on the horizon, thus: 3)m.p. -U. 41' 48', @ h.p. 5 52' 42'.

CHAPTER VII.

RAPTparallels are formed by the apparent motion of the heavens, or by the rotation of the Earth, whereby any two bodies, or their places, are carried to an equal distance on opposite sides of the same angle, whether it be the meridian or the horizon. In making this statement I am extending the observation of former writers who recognise only the rapt parallel formed by direct direction upon the meridian angle. My experience includes also those formed conversely on the same angle, and I include the horizon in this observation. The student may follow me in one or two illustrations. The rule for the calculation is as follows : Rule.-As half the sum of the semi-arcs of the two bodies is to half the sum of their meridian (or horizontal) distances, so is the semi-arc of the body applying to the angle to its distance from that angle at the formation of the parallel. EXAMPLES I. Bring the Moon and Saturn to a rapt parallel upon the upper meridian. Here we propose to bring the Moon down the western sky and Saturn up the eastern sky by the apparent motion of the heavens. At the formation of the parallel, Saturn will be applying to the meridian, while the Moon will be separating from it.

Semi-arc I#

~ 8 528 $ 5 8 10 2)

143 38

sum of S.A. Mer. Dist. I s

D 32 . 37

.

-

-39905

(a.c.)

9.60095

-

'59094 "49060

b59 . 43

s t

.... 2)

9 2 20

46.

sum of M.D. Semi-arc

>? 58

*Prop.Dist. 1st Dist.

b37 24 $59 43

Arc of Direction

22

10 10

.

IS

19

-68249

rapt. par. 1)

As Saturn is above'the horizon at the time of this parallel, we have taken its diurnal semi-arc. 2. Bring the Moon and Sun to a rapt parallel upon the, upper meridian. 0

Semi-arc

067 31 185 28

II

152 --

2)

Mer. Dist.

013 58 132 37

s t

& sum M.D.

.

Semi-arc

Prop. Dist. 1st Dist.

59

76 29 log.

sum S.A.

tt

I

T) 26

,

Art of Direction

23 17 log. ~ 8 528 ,, I

D32 37 ,

6 36

-

-37171

(as.)

9-62829

-

~88823 -32348

D rapt. par.

*8400o 0

This is a converse direction, formed by the rotation of the Earth from W. to E., whereby the mundane places of the Moon and Sun are carried eastward t o equivalent distances on opposite sides of the upper meridian.

3. Bring the Sun to a rapt parallel with Saturft on . .. the east,horizon. Semi-arc

0 67 31

Is

$121 50

--

2)

189

4 sum of S.A.

21

94 40 1%.

(a.c.)

Hor. Arc If

I f

*

.27908

-9.72092

0 53 33

T?

1

33

sum of H.A. Semi-arc

27 33 log. 0 6 7 31

-81515 -42586

Prop. Dist. 1st Dist.

0 1 9 39 a 5 3 33

,96193

Arc of Direction

33 54

9,

0 rapt. par. 5

I t will be observed that, as Saturn is below the horizon when the parallel is formed, his nocturnal arc is employed, while the Sun being above the horizon, his diurnal arc is that used. 4. Bring Jupiter to a rapt parallel with the Sun on the E. horizon. Semi-arc II

sum of S.A. Hor. Dist. I>

È

2)

61

I

sum H.A.' Semi-arc

30 30 10% 0 67 31 ,.

Prop. Dist. 1st Dist.

0 21- 42 1 ,, 0 53 33

Arc of Direction

--

'77097

.

'91875

-42586

3s 51 0 rapt. par. if.

The nocturnal arc of l(. is employed in this problem, as he has to pass below the horizon to form this parallel, i.e., the mundane places of the Sun and Jupiter are carried eastward by the Earth's rotation till they come to an equal distance on opposite sides of the horizon. This concludes the directions termed " Mundane." In effect they are very powerful, being formed by the direct rays of the various bodies to the place of birth.

CHAPTER VIII.

THESE directions are in all respects similar to the mundane, save that, instead of bringing the significator to the body of a planet we direct to the longitude of that planet, taking the meridian distance and semi-arc of that longitude or ecliptic degree. Directions in zodiaco may be direct or converse. Thus, if we direct a body in Libra to the longitude of one in Scorpio, the direction is direct; but when directing a body in Libra to the longitude of another in Virgo, the direction is converse, being contrary to the order of the signs. I n all cases we direct the body of a planet to the longitude of another. In this sense the meridian and horizon are considered as "bodies," and are directed to the longitudes of the planets. Directions may be to conjunction or aspect. The zodiacal parallel is also included by most writers on this subject. Personally, I conceive the direction to a parallel to be ill-founded and extremely difficult of scrutiny. The method consists in taking the declination of the planet to which direction is made ; finding a degree of the zodiac whose declination is the same; and then taking the semi-arc and meridian distance of this longitude, after which the body directed is brought to a conjunction with this degree in the manner already explained. Excepting t h e equinoctial and solstitial points there are four degrees in the zodiac having the same declination as each planet. The Moon, however, sometimes has greater declination than the Tropics, in which case the planets cannot, by this method, be

brought to a parallel of the Moon. But all this seems beside the mark, for it is obvious that a parallel of declination is equal distance above and below the Equator. Not by any mathematics can a body having 1 3 O of declination be brought by direction (i.e., by the rotation of the Earth) to 7 O or 15' of declination. I t has already been explained ' that the rotation of the Earth causes the planets to traverse arcs from E. to W. which are parallel to the Equator, and at distances which are determined by the declinations of the several bodies. T o bring a body to the conjunction of a degree in the zodiac (as seen from the place of observation) is not the same as bringing that body to the same distance from the Equator. The fact is, these parallels form no part of a true system of Primary Directions, but belong solely to Secondary directions. I t is conceivably possible that the correct method of dealing with these zodiacal positions of the planets so as to form parallels, would be to direct them by their semi-arcs, to equivalent distances on opposite sides of the angles and also t o rapt parallels in the same way. Thus, the Sun's place q16O54' could be brought along its semi-arc to an equivalent distance on the East of the meridian as is the Moon's long. ng2g027' on the West of it. I n the same manner q16O54' and q2g027' could be brought to a rapt parallel on the upper meridian. T h e theory presumes the planets to be operative in the degrees of their respective longitudes, and their influences to be thence reflected to the individual-neither of which concepts are contrary to the principles of the science. I have not, however, had opportunity for testing this theory.

C H A P T E R IX. CONJUNCTIONS IN ZODIAC

FOR the Mid-heaven, take the Right Ascension of the longitude of the planet to which direction is made. The difference between this and the R.A. of the Mid-heaven, will be the Arc of Direction. For the Ascendant, take the Oblique Ascension of the longitude of the planet. The difference between this and the Oblique Ascension of the Ascendant will be the Arc of Direction. For the Sun, Moon, and Planets, find the R.A. and declination of the longitude to which direction is made, and calculate thereby its meridian distance and semiarc.. Then proceed as for the calculation of a conjunction in mundo. As the semi-arc of the lotzgitude is to its meridian distance, so is the semi-arc of the moving body to its proportional distance from the meridian. Take this from that body's original distance, and there remains the Arc of Direction. EXAMPLES

I. Bring the Mid-heaven to conjunction with Moon in zodiac. J) 's long. ~ 2 9 ~ R.A. 2 7 ~ R.A. of Mid-heaven

-

--

Arc of Direction M.C. d p

0

I

I79 210

29 27

30

58

2. Bring the Mid-heaven to conjunction with Saturn in the zodiac.

f^ 's long. VJ oOg'R.A. R.A. of Mid-heaven

-

--

Are of Direction M.C.d i;

270 210

9

27

59 42

The first example-is a converse direction, the second is direct. 3. ring the Ascendant to conjunction with Uranus in zodiac, direct. 3 ' s long. xzo037' R.A.

Asc. Diff. (add)

-

--

Obi. ASC.~20'37' Obi. ASC.of Ascdt.

-

0 ' 351 23

-

356 5 300 27

Arc of Direction Asc. d

4 42

55 38

If we add 55'38' to the Right Ascension of the Mid-heaven 2 io027', we shall obtain Right Ascension 266O5' which is equivalent to f 26'24'30", and when this comes to the meridian of London, x20°37' the longitude of Uranus is rising. 4. Bring the Ascendant to conjunction with Sun in zodiac, converse. 0 ' s long. 7ti.16~54'R.A. Asc. Diff. (add) Obi. Asc. of in16O54' Obi. ASC.of Ascdt.

-

-

-

224 22

25

29

246 54

-

300 27

Arc of Direction Asc. d O

53 33

Note.-As the Sun is on the ecliptic, its Oblique Ascension and that of its longitude are the same. T h e direction is therefore identical with the converse mundane direction of 0 d Ascendant 53'33'.

5. Bring Venus t o conjunction with the Moon in zodiac, converse.

The p's longitude is q2g027', the Right Ascension of which is i7g02g', its meridian distance 30°58 (see Exam. I of this series). T h e declination of q 2 g 0 q ' is 0°13' its ascensional difference is 0°17 for London, and its semi-arc is therefore go017'. Then we say :0

AS

Semi-arc

I

go 17 log.

,29967 (a.c.)

To Mer. Dist. So Semi-arc

30 58 ? 82 26

T o Prop. Dist Subt. 1st Dist.

? 28

Arc of Direction

9

12

,I

,,

.

9.70033 .76438 -33917

16

-80388

2

16 14

? d T) zod. con.

6 . Bring the Sun to conjunction with Saturn in zodiac, direct. Saturn's longitude is ^yoOgt,which has Right Ascension 270°g'its meridian distance being 5g042' (see Exam. 2 in this series). The declination of woOgtis 23O27', its ascensional difference 33O6' for London, and its semi-arc -~6~54'. Note.-We take the diurnal semi-arc of WOOQ' -- and its distance from the upper meridian for convenience of proportion to the known factors of the Sun. d

0

Semi-arc

'

56 54 1%-

Mer. Dist. Semi-arc

59 42 067 31

Prop. Dist 1st Dist.

070 50 0 1 3 58

Arc of Direction

..

Â¥5001 (a.c.)

St

---

.49984 ¥4793 *42586 '40500

Ã

--

56 52

0d

12

zod. d.

7. Bring the Moon to conjunction Moon in zodiac, converse. This unique direction is inserted for the purpose of illustrating the fact that from the point of view of an observer, the body of a planet having latitude is not in

the same position as the longitude of that planet, and consequently an Arc of Direction may'be measured in all such cases. Owing to the inclination of the Moon's orbit to the Ecliptic being greater than that of the other bodies, the difference between its Right Ascension and the R.A. of its longitude is more marked. As to what effects may be due to the direction of Moon to Moon's place in zodiac, I must defer judgment, but the Moon to its own aspects in zodiac produces changes and favour or disfavour of women, the public, etc.-according to the nature of the aspect and attendant directions. But here is the calculation :D'S long. m 29'27' has R.A. 17g0zg', its meridian distance being 3oC58'. Its declination 0°i3gives Asc. Diff. 0°i7and its semi-arc is therefore 90~17'. Semi-arc

go 17 log.

Mer. Dist. Semi-arc

30 58 , , D85 28 i i

Prop. Dist. 1st Dist.

D29 19 D32 37

Are of Direction

3

18

.29967 (a.c.)

*78819

i i

D

9.70033 -76438 -32348

d

D

zod. con.

Note.-Possibly a direction of this nature imports the influence of the D'S radical aspects, developing those changes in the constitution which are so often effected by infantile complaints.

CHAPTER

WEhave already directed the Mid-heaven, Ascendant, etc., to the longitudes of the planets for the conjunction in zodiac, and we now have to direct them to aspects of those longitudes. The process is in every way similar, the Mid-heaven being directed by R.A., the Ascendant by Oblique Ascension, and the planetary bodies (including 0 and I)) by proportion of their semi-arcs. EXAMPLES

I. Bring the Mid-heaven to the square of Moon in zodiac, direct. The Moon's long. is vy^2g027', its squar,e falls in f 2g027', the R.A. of which is 26g025'. G

R.A. f2Q027' R.A. of M.C.

-

-

-

-

Arc of Direction

I

269 24 210

27

58 57 M.C. a I) zod.

2. Bring the Mid-heaven to the sextile of Sun in zodiac, converse. 1 The Sun's long. is 1 ~ 1 6 ~ 5 4the ' , converse sextile being vy^16O54', the R.A. of which is 167'57', its meridian distance (210~27'-167~57') 4z030' ; Arc of Direction M.C. ¥X @ zod. con. 3. Bring the Ascendant to sextile Jupiter in zodiac, direct. Jupiter's longitude f 21~28'has its sextile in ,%c¥21~28' the Right Ascension of which is 323O52', and its

ascensional difference 18O47', gives its Oblique Ascension 34203g1.

-

Obi. Asc. of Aspect Obi. &c. of A~cdt.

-

Arc of Direction Asc.

O

f

.

342 39 300 27

*

42

12

4. Bring the Ascendant to opposition Moon in zodiac, direct. We have already found the Right Ascension of 1)'s longitude n12g027' to be i7g02g', and its ascensional difference t o be 0°i7' W e therefore proceed : R.A.n~zg~z7' 180 + Asc. Diff.

-

Obi. Asc. of x 29'27' Obi. ASC. of A ~ c d t . Arc of Direction Asc. 8

-

I79 29 180 17

-

359 46 300 27

D

59 19

Here we bring the opposition point of the 1)'s longitude to conjunction with the Ascendant, which is the same as directing the Ascendant to opposition Moon. 5. Bring the Sun to the opposition of Neptune in the zodiac, converse. Neptune's longitude is Z Z I ~ O ~ I ' , the opposition of which is &i402if, its Right Ascension 136¡50f and its meridian distance 73O37'. I t s ascensional difference is Then : 2 1 ~ 5 8 'which ~ gives a diurnal semi-arc of I I 1'58'. 0

Semi-arc

111

I

58 log.

Mer. Dist. Semi-arc

73 37 0 6 7 31

Prop. Dist. 1st Dist.

0 4 4 23 0 1 3 58

Arc of Direction

..

-20618 (a.c.)

-#

B~

-58

21

0