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Cufp of the 6th Houfe, as being oppofite to the other. And thus by the foregoing nine Problems, have I calculated the Cufp of each of the twelve Houses, for the given Time and Place; and they are as hereunder fet down.

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The like, by this Example, may be performed for any other Latitude and Time given.

And Note, That as the Elevation of the Pole above the Circles of Pofition, fo alfo the half Sum, and half Difference of the Angles, are always the fame in the fame Latitude; and therefore having once found them, the Operations of this Nature will be much fhortned for the future. VOL. II.

002

PRO

PROBLEM X.

To reprefent the Face of the Heavens in Plano for the given Moment of Time, and affign the Places of the Sun, Moon, Planets, and remarkable fixed Stars in the refpective Houses.

Pradlice.

1. Draw the Circle NEWS to reprefent the Horizon of Chichester, and draw the Diameter NS for the Meridian or Circle of the Medium Cæli, or 10th House.

2. Set off the Half-Tangent of 39° 04' from the Center F, to P the Pole of the World. Alfo with the Secant thereof draw half the Equinox WAE above the Horizon, and the other half WI E below the Horizon, and is therefore dotted.

3. Find the Amplitude of the Afcendant, and the Altitude of the Nonagefima Degree; and then with the Secant of that Altitude draw the two Halfs of the Ecliptic, IK above the Horizon, and Iv K below it.

4. Divide the Ecliptic into its proper Signs and Degrees by Prob. 6, Cafe 3, Of the Stereographic Problems. 5. By the fame Stereographic Problem and Cafe, divide the Equinoctial into 30°, 60°, each way from A; and through thofe draw the Circles of Pofition of the 12 Houses NBS, ND S, NG S, NHS; thus will they interfect the Ecliptic in the Cufp of each Houfe.

6. Calculate the Place of the Sun, Moon, and Planets from proper Tables, or elfe take them from fome Ephemeris, and difpofe them in proper Parts of the Ecliptic to which they belong alfo Stars of the first Magnitude, and other fignificant ones may be inferted from a Coeleftial Globe, or otherwife; and thus will you fee what particular House they severally poffefs. An Example of two kinds here follows.

By

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By thefe Figures you may find at the given Time, not only the Sun, but also the Moon, and the five Planets will be all under the Horizon; and that four of the feven Planets will poffefs one Houfe, viz. the fixth.

Alfo in the firft Scheme I have reprefented the Stars of the first Magnitude, (and others, which the vain Aftrologers call Significant ones,) that are at that Time to be feen above the Horizon; with their Names for Diftinction fake.

Thus I have fhewn how the Mathematical Part of Aftrology is perform'd in fome of the chiefeft Problems; I might have added a Problem or two more, but these are abundantly fufficient to fhew what elaborate Pains are taken by fome to practise a vain Delufion, and how willing they are to undergo the greatest Fatigues of Study to be qualified to be firft deceived themselves, and then to deceive and delude others.

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And as Judiciary Aftrology depends on the Mathe matical Part, and is it felf the grand Deceipt; fo it may be wondered that I fhould lay the Foundation, and yet condemn thofe who build thereon. But tho' I have taught how to erect a Scheme, 'tis chiefly to fatisfy thofe who are defirous to know the Manner thereof, and would be more capable to discern the Inutility and Fallacy of this pretended Art, and the Nullity of all its Pretenfions. For as 'tis too well known, that the Ignorance of the Vulgar is one of the greateft Pillars of Impofture; fo none but the Scholar can either villanously carry it on, or effectually confute it. For while the gaping credulous Croud liftens with incredible Attention to the unintelligible Jargon of the Fortune-telling Star Gazer, and are furprized with his Schemes; The ingenuous Aftronomer and Philofopher (who knows well the Principles he goes on, and the Artifices he ufeth) defpifeth the Impoftor,

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