S O 3 15 36 which take from 12 00 00 there will remain 8 14 24 which the Sign Sagittarius X 14' 24 = Cusp of the 12th House, and Gemini II 14 24 = the Cusp of the 6th House, as being opposite to the other. And thus by the foregoing nine Problems, have I calculated the Cusp of each of the twelve Houses, for the given Time and Place ; and they are as hereunder set down. S (10 House is in m II 42 m 28 39 14 24 The Cusp of the 6 38 20 44 1 3 13 42 ୪ 43 ୪ 28 39 6 14 24 The Cusp of the 7 6 38 8 20 44 19 13 42 II I 2 I 2 4 House is II 2 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 Position, so also the half Sum, and half Difference of the Angles, are always the same in the fame Latitude ; and therefore having once found them, the Operations of this Nature will be much shortned for the future. VOL, II. Oo2 PRO PROBLEM X. To represent the Face of the Heavens in Plano for the given Moment of Time, and assign the Places of the Sun, Moon, Planets, and remarkable fixed Stars in the respective Houses. Praflice. 1. Draw the Circle N EW S to represent the Horizon of Chichester, and draw the Diameter N S for the Meridian or Circle of the Medium Cæli, or roth House. 2. Set off the Half-Tangent of 399 04' from the Center F, to P the Pole of the World. Also with the Secant thereof draw half the Equinox W AE above the Horizon, and the other half WIE below the Horizon, and is therefore dotted. 3. Find the Amplitude of the Ascendant, and the Altitude of the Nonagesima Degree ; and then with the Secant of that Altitude draw the two Halfs of the Ecliptic, IK above the Horizon, and I r 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 same Stereographic Problem and Cafe, divide the Equinoctial into 30°, 60°, each way. from A; and through those drąw the Circles of Position of the 12 Houses NBS, NDS, NGS, NHS ; thus will they intersect the Ecliptic in the Cusp of each House. 6. Calculate the Place of the Sun, Moon, and Planets from proper Tables, or else take them from some Ephemeris, and dispose them in proper Parts of the Ecliptic to which they belong ? also Stars of the first Magnitude, and other significant ones may loc inserted from a Celestial Globe, or otherwise ; and thus will you tee what particular House they severally possess. An Example of two kinds here follows. Ву By these 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 seven Planets will possess one House, viz. the sixth. Also in the first Scheme I have represented the Stars of the first Magnitude, ( and others, which the vain Astrologers call Significant ones,) that are at that Time to be seen above the Horizon ; with their Names for Distinction fake. Thus I have shewn how the Mathematical Part of Astrology is perform’d in some of the chiefest Problems ; I might have added a Problem or two more, but these are abundantly fufficient to thew what elaborate Pains are taken by some to practise a vain DeJusion, and how willing they are to undergo the greatest Fatigues of Study to be qualified to be first deceived themselves, and then to deceive and delude others. And as Judiciary Astrology depends on the Mathea matical Part, and is it self the grand Deceipt ; so it may be wondered that I should lay the Foundation, and yet condemn those who build thereon. But tho' I have taught how to erect a Scheme, 'tis chiefly to satisfy those who are desirous 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 Pretensions. For as 'tis too well known, that the Ignorance of the Vulgar is one of the greatest Pillars of Imposture ; fo none but the Scholar can either villanoully 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 surprized with his Schemes ; The ingenuous Aftronomer and Philofopher ( who knows well the Principles he goes on, and the Artifices he usech ) despiseth the Impostor, and |