CORRESPONDENCE, Containing a Variety of SUBJECTS, RELATIVE TO Natural and Civil Hiftory, Geography, Mathematics, Poetry, Memoirs of monthly Occurrences, Catalogues of new Books, &c. VOL. IV. By BENJAMIN MARTIN. LONDON: Printed and fold by W. OWEN, near Temple-Bar, and by the AUTHOR, at his House in Fleet-ftreet. MDCCLXIV. Miscellaneous Correspondence, in Profe and Verfe. For JANUARY, 1761. I was favoured with the following THEORY, by an ingenious and learned Friend at Wareham, fome Years ago. A Demonftration that the Moon passes, at the Time of Conjunction, farther from the Sun, than a right Line, drawn betwixt two of its Places, taken, one before and the other after the Conjunction, and equidifiant from it. tion; T and R two other Places of it at an equal Diftance before and after Conjunction; L, l, two Places of the Moon at the fame Times. Join TR and L, and from /draw li perpendicular to TR; draw alfo SE, cutting TR and L/ in n and m; and from T and R draw TU and Ru parallel to SE, and equal to TL and R/ the Moon's Diftance from the Earth: Then will U and reprefent the Places where the Moon would be, if it did not revolve round the Earth, when the Earth was in T and R, and the Angles UTL and u R/ will reprefent the Angles which the Moon defcribes round the Earth while the Earth defcribes the Arches TE and ER. Then becaufe SE is perpendicular to TR, u R is fo too, and the Angle Ri is the Complement of *R, as the Angle SRn is of RS n: Put now SRD, RI=d, r = Radias, C Co-fine of the Angle RS", c Co-fine of the Angle u R, or Rli, and. V and v, their verfed Sines: Then in the Tringle RS n, 4 G b S r: D |