table of houses

V4.

/mn Yu£»

Ronald L. Bohn ^. 'X?.'"^? i inM'308 Westwood Plaza, Box 558 tHURCH OF UGHLos Angeles, Calif. 90024 BOX 152'j WAiN

LOS ANOELES. CA

THE

Spherical Basis of AstrologyBEING

A COA\PREHENSiVE

TABLE OF HOUSES

LATITUDES 22 TO 60

WITH

RATIONAL VIEWS AND SUGGESTIONS. EXPLANATION AND INSTRUCTIONS

CORRECTION OF WRONG METHODS, AND AUXILIARY TABLES

BY

JOSEPH G. DALTON

SEVENTH EDITION

Incorporating Tables for Latitudes to

60°, by the courtesy of the publishers

of Raphael's TABLES OF HOUSES

RICHMOND, VIRGINIA

MACOY PUBLISHING AND MASONICSUPPLY COMPANY

Copyright, 1893,

By JOSEPH G. DALTOK

Copyright, 191 i.

By SARA LUCE-(SPEXCELEY)

HI rights rcsert:»i.

S«LB

URL

VIEWS AND SUGGESTIONS.

There appears to be a wide and increasing interest

in regard to Astrology in this country, and perhaps

there are some who wish to study it with as muchexactness and tlioroughness as the i)eculi;ir subject is

capable of, in its principal branch the doctrine of nativi-

ties. If such are ver}' few as yet, the spirit of this age,

now inclining to submit the occult and elusive to scien-

tific scrutiny, is likely to breed them ere long. Thepresent writer has studied it, in quite a private way,

from a rational point of view and with careful induc-

tion, for many years, talcing its fundamental ideas as

probable hypotheses and using a strict mathematical

method according to the best works on spherical astron-

omy, with the intent particularly of testing with scien-

tific caution what correspondence there is lietween

"arcs of direction" and the events of a person's life,

when the data are known to be con-ect. As geometrical

laws shape everything, this is the part that can probably

be made nearly an exact science. The rest of it— after

rejecting the mouldy old nonsense and jargon, the fig-

ments and lies of the books— is mostly deductions from

general and ambiguous symbols which yield little defi-

nite meaning to the intellect, though often read won-

•lerfully by some pei-sons who have the fine divining

faculty ; but this insight, however real in its way, Ls a

raw poetry not science, and is unreliable, especially as

to times of events. I have reached numerous confident

conclusions on the subject by a long inquisitorial search.

Some are negative ones, indeed, yet valuable ; but manyare drawn fioin positive proof of close accord Ix-tween

planetary movements and personal events, disclosing

to view the main points and lines in the geometrical

l)lan of life, though giving no clear picture of anything.

Astrology is far from being a baseless and refuted

pretension, as the cyclojui^dias and scientists, with "or-

thodox mental strut," generally assert. They condcnm

it without a trial, witliout examination and experiment,

confounding its e.s.sential truth witli the error and folly

that corrupt it. Genteel scholai-siiip and formal intel-

lects are natural!}' cont^^nt to abide in ignoi-aiue and

aversion concerning these ancient ideas of "spherical

predominance," which the unsophisticated multitude

treat with innate sympathy, and which many great

poete and thinkei-s have entertained a.s easily credible

in a universe so full of wonders and mysterj'. Ita

coarser aspect is conspicuous in the salable books ind

almanacs of the elusory charlatans who commonly lurk

concealed under the name of some angel or star to prey

upon the credulous, and in whose hands it has made no

progress for hundreds of j'ears. They "hitch theit

wagon to a star," but remain in the mire and the mist.

As practised for gain and gammon. Astrology Ls eternal

truth in distress and demoralized, disgraced by its

friends, despised by its foes, and thus ever in deserved

ill-repute with sensible jjeople. It was in the same

dismal plight in Bacon's time, who said that it " is so

full of superstition that scarce anything sound can be

discovered in it, though we judge it should rather be

puiged than absolutely rejected." Bacon also looked

for what he calls " Astronomia viva, a living astronomy,

an astronomy that should set forth the nature, the

motion, and the influences of the heavenly bodies, as

they really are." Here is the hint of a wrise ideal

which, after three centuries, modern astronomy, in all

its extreme excellence of material means, does not

fulfil. It is a vast and complex growth of declared

exact science, but all mechanical and soulless, empty of

divine reason and human meaning. It has been want-

ing in the tcf}' precision which is its cliief pride.

That the tabular ])ositions of planets were erroneous,

and getting more and more wide of tiicir observed

places, was seldom mentioned except in official docu-

ments. In 1882 Prof. Newcomb said, " the increiwing

discordance between theory and observation is a field

which greatly needs to Iw iiivestig.itcd." Tlie showy

astronomy was mainly devote<l to solar gas and meteoni

and exact places of millions of the nunutost stairs, .*^inc«

then the American astronomers have jK-rfectod new

tables of the planets.

.\strologv is a curious and .seductive rather than a

u.sefiil study; yet Ls a legltimato subject for n-March,

with the attraction of pencral interest, but has its own

l>erplexities and hindrances like any other scientific

inquiry. It needs an invigtirating infusion of nuHloni

tlunigiit, students of the right kind to give intellectual

respectabilitv to it« aims and methivls; minds with the

true soular elevation and o|>enneHi«, "not n-pnrding of

any one's mocks," and able to emulate the patient and

Ul

IV EXPLANATIONS, INSTRUCTIONS, ETC.

severe sagacity that has reached the admirable results

of the established sciences. It requires no high mathe-

matical ability, but such as will be enamoured of much

dry ciphering if it lead to a real advance by gradual

steps. For the sake of such students, to furnish them

a new and ample instrument, and to diminish their

liability to error, this volume is issued. Drink deep,

or taste not, the Uranian cup of mystical science ; the

empty froth and dubious flavor are mostly on the sur-

face. Tarry not in the dim region of fallible conjecture,

but proceed to mathematic certainties.

Ars vera est, sed pauci artifices reperiuntur.

EXPLANATIONS AND INSTRUCTIONS.

WITH USEFUL TABLES.

The twelve astrological Houses are formed by trisect-

ing each of the four natural divisions of the heavens

made by the meridian and horizon. It is as if the east-

ern horizon were tilted up to ^ and to f the distance,

and then down in like manner. This makes six equal

sections on the east of the meridian, the others being

directly opposite. The celestial equator is equally

divided by these into arcs of 30° each ; the ecliptic on

account of its obliquity is unequally divided, hence the

present Table which gives for each latitude the inter-

secting points of the ecliptic with the eastern horizon

and those other great circles, to each degree of ecliptic

longitude on the meridian and its proper sidereal time.

It is the only general one of the kind ever made. The

original MS. covers from 10° to 60° of latitude, but the

limits here, 22° to 56°, include the whole civilized globe.

Hitherto all such tables have been for some one latitude,

and they but rudely serve within narrow bounds. Its

usefulness therefore is very obvious in making a diagram

of the heavens at a given date and locality to get the

mundane positions of planets and stars foi astrological

purposes or any questions that require such a figure.

An immense amount of laborious calculation has been

necessary, and systematic method and the utmost care

was used to insure its correctness. The ascendant, or

first house, was strictly computed to the nearest tenth

of a minute at a suflBcient number of points (according

to the more or less unifomi variation), and then interpo-

lated downward and across the page by second, third and

often fourth differences, insuring general accuracy to

the nearest minute. The other and minor houses were

similarly fixed at many points to the nearest hundredth

of a degree, and interpolated for accuracy to the nearest

tenth. More than a thousand operations in trigonome-

try, by seven or ten logarithms each, were performed,

between which to fill in by the quicker but correct pro-

cess of interpolation. The ecliptic obliquity used was23° 27' 15", its mean value in 1885. On account of the

very slow decrease in this angle, I find that for dates at

least sixty years before and after that year the Table

will hardly err anywhere more than 1' on the horizon,

and this mostly in the highest latitudes. It will serve

still for a century more either way and be but a trifle

wrong sometimes. The formula used in the computa-

tions was adapted from that for getting the longitude of

" the nonagesimal," or ecliptic point 90° from the hori-

zon, as given in the appendix to Bowditch's Navigator,

Problem IV (old editions). It is substantially the same

as that by which the ordinary tables are made for single

latitudes ; but I have examined many of these and find

them erroneous in several ways,* and they betray a

defective method in not showing the exact recurrence of

the series of differences and the consequent agreements

of one quadrant with another. That the simple mathe*

matical facts of these conformities appear in the present

Table is a means of detecting any copying from it, on

pretence of original work, by that sort of pei'sons whomake the usual tables. These plainly show the inca-

pacity of the computers, who do more than is needful,

and worse than is endurable.

The astrological books are so erroneous and various

in the rules for making a figure, that it is well to have

here some instructions and cautions for getting the true

sidereal time in any case, with which to use this Table.

Hardly a single one of those books mentions the correc-

tion to be applied for distance in longitude from Green-

wich ! and most of them ignore also the correction of

mean time to sidereal. Neglect of the first one makes

an error of 47" at Boston and of 1" 20' on the Pacific

coast, which in arc equals 12' to 20', a difference of four

months in directions to the " angles." To neglect the

other correction may cause a further error of 67'— about

a whole year. I give the usual table here for makingthese corrections, and the entire process is as follows:

To the Greenwich sidereal time at the previous meannoon add the correction for longitude of the place, taken

from table A, and you have the sidereal time of the

same noon at the given place. (East of Greenwich this

correction is minus.') To this add the interval between

that noon and the given time, and by the same table its

correction. The sum is the sidereal time or right ascen-

sion of the midheaven for the given place and time.

It is to enable students to be accurate, when necessary,

that these details of precision are given, as otherwise

they must be gathered from several sources. Of course

• Some give the sidereal time to the nearest minute only, which

is often an error of seven minutes of arc, to start with 1

EXPLANATIONS, INSTRUCTIONS, ETC.

they can be omitted in making a rough figure for general

consideration, and then the rule ia : Gr. sid. t. at previ-

ous noon + time from same local noon = approx. sid. t.

required. Add 2 or 3 minutes, and it will be nearer

right on the average.

There is, however, of late a liability to fall into muchlarger errors. On Nov. 18, 1883, Standard Time was

adopted in this country, and lime-pieces no longer indi-

cate mean solar time, though they measure it. Anygiven standard time must therefore firet be corrected to

mean time. Boston, for example, is in the Eiistern

Division, the central meridian of which is five hours

west longitude, and the new time throughout that divis-

ion is fixed at five liours earlier than Greenwich time.

As Boston is east of the centre, with longitude or time-

difference of 4'' 44"" 15', its standard time is

too slow by 1.5° 45*. Therefore, add that

amount to get the mean time. At New York

it is too slow by 3°" 58'. Philadelphia is in

the same division, but a little tvest of the

centre, in longitude S"" 0" 36"; hence stand-

ard time there is 36' too fast. So of any

place in either of the five hourly divisions:

the long.-diff. of cent, merid. and place = corr.

to mean t., and is plus if the place be east,

and minus if west, of the meridian. This

correction must be made with care, as it

amounts to about half an hour near the bor-

der of a division, and if ap[ilied wrongly

may make an error of double that I Prac-

tically there are many exceptions and un-

certainties in the use of our standard time,

also lial)ilities to large error for such places

as many in Maine, Ohio and Pennsylvania,

where it was not fully adopted until several

years after. In " The Pathfinder Railway

Guide," of Boston, lliuro has been much in-

fonnation as to its local use, with a map.*

Now with the sidereal time and the geo-

graphic, or the geocentric, latitude (as you

may think proper), the Table is used like any

table of double entry. Sid. T., with its equiva-

lent arc,-)- to each degree on the meridian or 10th house,

heads each main column. "II" below indicat<;s the

other houses, and on the side is the Latitude. Inter-

mediate values are got generally by simple proportion

between the two nearest ones, in doing which between

columns it is easier to use the arc than the time. Time

can Ihj changed into arc by tiible C. To save needless

repetition many figures and decimal points are omitted

where they are readily seen above. Ou eaeli left-hand

page a column is du[>licatod from the previous pago to

escape the awkwardness of reckoning lietween columns

so situated.

There is hardly any obvious use in having the minorhouses so closely calculated, but it might be needed for

some purposes, and their columns would not look well

if they differed too much in that respect from the as-

cendant.

These Explanations, etc., are now much amended, 1908.

The geogra[>liical latitude is certainly not to be used

for primary directions, for all such calculations as are

affected by the earth's rotation will be wrong except

when the equinoctial points are near the horizon. For

those purposes, therefore, the latitude must be corrected

for the spheroidal shape of the earth by table B, to con-

vert it into the geocentric latitude b}' "the angle of the

vertical," aa astronomers do in computing eclipses, for

which fact see the same chapter in Bowditch, before ro

YI EXFLASATIOXS, jySTJiUCTI02fii, ETC.

the ascendant is obtained directly from that, the other

houses can be had precisely only by a trial-aiul-error

process from a mean or approximate pole to begin with,

because the poles are factors in the operation that

depend upon the very thing sought for. Now the usual

table of poles is not made for an average case, but for

the extreme one, that is when s or vj is on the cusp

the blunder of some one alxjut a century ago, and

has been blindly copied ever since. The errors therein

are large for liigh latitudes. The proper average poles

are a mean lx;tween those of T on the cusp of a house,

and those when 25 is there. I find that a near average

is had when B 22, or any point of same declination, is

on the cusps. The table I) below is made accordingly.

The fonnula for 11th and 3d houses is tan pole =rinejaac diff. p . ^^^ ^gth and 2d, | is put instead of L

ton decl. ' s r i

Ecliptic obliquity is taken at 23° 27' 15", but its vari-

ation for many yeai-s has little effect. This table will

give in all cases nearly true results * directly by the

usual formula, especially if account be made of 2d dif-

ferences between the tabular latitudes.

COMPREHENSIVE TABLE OF HOUSES

TABLE OF HOUSES FOR LATITUDES 22° TO 56°.

2

TABLE OF HOUSES FOR LATITUDES 22° TO 56'

4 UPPER MKKIDIAN, CUSP OF lOth H.

TABLE OF HOUSES FOR LATITUDES 22° TO 56=

UPPKR MERIDIAN, CUSP OF lOth H.


6 UPPER MEKIDIAN, CUSP OF lOth H.

TABLE OF HOUSES FOR LATITUDES 22= TO 56=

UPPER MERIDIAN, CUSP OF lOth H. 7

TABLE OF HOUSES FOR LATITUDES 22" TO 56"

8 UPFEK MEKIDIAN, CUSP OF 10th H.


UPPKR MKKIDIAN, CUSP OF lOth H. 9

TABLE OF HOUSES FOR LATITUDES 22° TO 56°

10 UPPEK MKRIDLA.N, CUSP OF lOth H.


UPPER MEKIDIAN, CUSP OF lOth H. 13


14 UP1»EK MEKIDIAN, CUSP OF 10th H.


16 UPPEK MKKIDIAN, CUSP OF lOth H.


18 UPPER MKUIDIAN, CUSP OF lOth H.


20 UPPER MEKIDIAN, CUSP OF 10th H.

TABLE OF HOUSES FOR LATITUDES 22' TO 56°.

UPPER MEUIUIAN, CUSP OF lOth II. 21


22 UPPER MEKIDLA-N, CUSP OF lOth H.


24 UPPEK MERIDIAN, CUSP OF lOtli H.


UPPEK MERIDIAN, CUSP OF lOth H. 25


26 UPPER MERIDIAN, CUSP OF lOth H.

TABLE OF HOUSES FOR LATITUDES 22^ TO 56'.

UPPElt MKUIDIAN, CUSP OF lOth H. 27|

TABLE OF HOUSES FOR LATITUDES 22° TO 56"

28 UPPER MERIDIAX, CUSP OF lOth H.


30 UPPER MERIDIAN, CUSP OF lOth H.

TABLE OF HOUSES FOR LATITUDES 22= TO 56°.

UPPER MKUiniAN, CUSP OF lOth H. 31

TABLE OF HOUSES FOR LATITUDES 22° TO 56".

3.


UPPElt MERIDIAN, CUSP OF lOtli H. 33


34 UPPKB MEKIDIAX, CUSP OF lOtli H.


36 UPPER MERIDIAN, CUSP OF 10th H.


?


38 UPPEK MEKIDIAN, CUSP OF lOth U.


40 UPPER MEKIDIAN, CUSP OF lOth H.


42 UPPEK MERIDIAN, CUSP OP lOtli H.


44 UPPliK 3IEKID1AN', CUSP OF lOtU H.


46


48 UPPER 3IEKIDIAN, CUSP OF lOth H.


* UPPER MERIDIAN, CUSP OF lOth H. 49


50 UPPER MEIUDIAX, CUSP OF lOtli H.


i


52 UPPEK MERIDLAN, CUSP OF lOth H.


UPPER MEltll>lA^, CUSP OF lOtb H. 53


64 UPPEK iyiERlDLA.N, CL'SP OF lOth U.

TABLE OF HOUSES FOR LATITUDES 22^ TO 56 =

^ UPPEK MEKIUIAN, CUSP OF lOth H. 65


56 UPPER ftlKKlDIAN, CUSP OF 10th U.


, UPPEK MERIDIAN, CUSP OF lOth H. 57 1


58 UPPER 3IEKIDIAN, CUSP OP lOth H. 1


UPPER MKKIDIAN, CUSP OF lOth H. 69


60 UPPER MKUIDIAN, CUSP OF 10th H.


* UPPER MEKIDIAX, CUSP OF lOth H. 61


62 UPPER BLERIDIAN, CUSP OF lOth H.


* UPPER MEKIDLAN, CUSP OF lOth H. 63

FABLE OF HOUSES FOR LATITUDES 22° TO 56".

64 ll'I'KK Mi:iJIl>IAN, CUSP OF lOtli H.


UPPER BIERIDIAN, CUSP OF lOth H. 66


66


UPPER MEllIDIAX, CUSP OF lOth U. 67

SID. T. 23 52 40I 5^

ARC 358° 9'.9i-'^°

H

22

23

24

2iS

26

27

28

39

30

31

32

33

34

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87

38

89

10

41

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48

44

45

46

47

48

49

50

61

52

58

54

55

56

11 12

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4

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7 29

7 57

8 2.5

8 53

9 22

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1120

11 51

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13 27

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11.1 14 34

8 6

9 12.1

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15 44

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16 57

17 35

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9

8 18.6

6.0

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11

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1031

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1642

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SI32

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POSTSCRIPT.

As the tabular spherical basis here built fails to cover

a considerable zone near the equator, and figures are

often wanted for latitudes less than 22', the formula for

their calculation is added and can be used by any one a

little versed in trigononietiy ; and any part of the Table

may also be tested thereby.

(1) To the R. A.* of the M. C. add 30°, 60°, or 90°, or

so on, according to the place of the house in order from

the meridian, which will give the oblique ascension of

its cu.sp. E.\press this in distance, forward or backward,

from T or — 0, whichever be the nearer, and call it d.

Call the ecliptic obliquity 0.

Then, cos d cot pole = cot A.

And the sum, or difference, of A and (according as d

measures from IP or —) = B.

Then, sec B cos A tan (/ = tan long, required, to be

reckoned from T or £^ as </ was ; unless B exceed 90°,

when the longitude is reckoned from the opposite equi-

nox, reversely.

For South latitude, first add I8O0 to the R. \. of the M. C, and

proceed us above ; but in tlie final result put opponite iwliacal

sign8 for those found on the minor houses.

The poles below latitude 10° arc given

in the annczea extension to the equator of

table D.

Lai.

68 TABLE OF HOUSES FOR LATITUDE 57° 9' N.

U3

Q CO o ^ en •*

TABLE OF HOUSES FOR LATITUDE 57° 29' N. 69

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