+-----+-------------------------------+ |Conj.| H. M. S. ʺʹ ʺʺ v p^{ts}. | +-----+-------------------------------+ | 1 | I 5 27 16 21 49-1/11 | | 2 | II 10 54 32 43 38-2/11 | | 3 | III 16 21 49 5 27-3/11 | | 4 | IIII 21 49 5 27 16-4/11 | | 5 | V 27 16 21 49 5-5/11 | | 6 | VI 32 43 38 10 54-6/11 | | 7 | VII 38 10 54 32 43-7/11 | | 8 | VIII 43 38 10 54 32-8/11 | | 9 | IX 49 5 27 16 21-9/11 | | 10 | X 54 32 43 38 10-10/11| | 11 | XII 0 0 0 0 0 | +-----+-------------------------------+ [Sidenote: The Moon’s motion thro’ open space described.] 265. If the Earth had no annual motion, the Moon’s motion round the Earth, and her track in absolute space, would be always the same[58]. But as the Earth and Moon move round the Sun, the Moon’s real path in the Heavens is very different from her path round the Earth: the latter being in a progressive Circle, and the former in a curve of different degrees of concavity, which would always be the same in the same parts of the Heavens, if the Moon performed a compleat number of Lunations in a year. [Sidenote: An idea of the Earth’s path and the Moon’s.] 266. Let a nail in the end of the axle of a chariot-wheel represent the Earth, and a pin in the nave the Moon; if the body of the chariot be propped up so as to keep that wheel from touching the ground, and the wheel be then turned round by hand, the pin will describe a Circle both round the nail and in the space it moves through. But if the props be taken away, the horses put to, and the chariot driven over a piece of ground which is circularly convex; the nail in the axle will describe a circular curve, and the pin in the nave will still describe a circle round the progressive nail in the axle, but not in the space through which it moves. In this case, the curve described by the nail will resemble in miniature as much of the Earth’s annual path round the Sun, as it describes whilst the Moon goes as often round the Earth as the pin does round the nail: and the curve described by the nail will have some resemblance of the Moon’s path during so many Lunations. [Sidenote: Fig. II. PL. VII.]