Viewing page 414 of 504

This transcription has been completed. Contact us with corrections.

Apogee. The Moon's Place was about 4^o 30' of [[underline]] Virgo. [[/underline]] The Moon was going from her Apogee to her Perigee; which were not very far from being in Quadrature with the Sun. So the Center of the Moon's Orbit was between the Earth and the Sun; far from being in Opposition to the Sun, as it is always in a Stereographic Orbit. Upon which Account those [[underline]] Worcester [[/underline]] Observations, tho' they proved as favourable to me as I could wish, yet do favour me much less, than other [[underline]]Observations [[/underline]] of Dichotomys [[underline]] to be made [[/underline]] hereafter will do. But they do already overthrow the common System, and with it the too obtuse [[underline]] Figure [[/underline]] which Sir [[underline]] Isaac [[/underline]] ascribes to the Moon. For he makes [[underline]] its [[/underline]] longer Axis to be but of 5374284 Feet, and the shorter ones to be 5374098 Feet. See [[underline]] Prop. [[/underline]] 38 [[underline]] Lib. iii. [[/underline]]

20. But first of all, let us examine particularly what would happen in a Stereographic Orbit. Therein (according to the Theory and System of Sir [[underline]] Isaac Newton [[/underline]]; p. 430 [[underline]] and [[/underline]] 462) when the Extentricity is the least of all, the Distance of the Center of the Earth from the Center of the [[strikethrough]] Moon [[/strikethrough]] [[underline]] Circular Orbit [[/underline]] of the Moon may be supposed of 433,227 Parts, [[underline]] its [[/underline]] Radius being of 10000: And the Distance of the Center of the Earth from the Focus of the Orbit of the Moon may be supposed of 41,964 Parts. The Sun amounts to 475,191 Parts, for the Distance betwixt ye Center of the Orbit and the [[underline]] Focus, [[/underline]] about which equal Areas are described