2ax + xx + bb; and z = (No2 = Mm2 + vn2 =) aa + 2ax + xx + bb; therefore y = 2xx — 2ax, and z = 2ax + 2xx: confequently MN ZZ × 2x × a + x = BG ᏃᏃ x =) x Bb. Therefore (yy) Gg+: (zz) yy Nn*:: BG × Bb: MN × Mm. Confequently, that the fum of the refiftances against the furfaces generated by the lineola Gg and Nn may be the leaft poffible, Gg* muft be to Nn as GBb to NMm. 4 Wherefore, if yg be made equal to yG, fo that the angle 7Gg may be 45°, and the angle BGg 135°; alfo Gg2 = 2yg2, and Gg* = 4yg*; then 47g*: Nn*:: GBb: NMm; and fince GR is parallel to Nn, and BG, BR parallel to ny, Ny; alfo ny gy = yG; it follows that (ny = yG =) Bb: BG x Mm (Ny) Mm :: BG: BR, therefore Bb = alfo (ny) YG Nn BG: GR. : BR Confequently EQUINOXES, their præceffion. the cause of that motion shewn... Page 197 the quantity of that motion computed from the causes.... 252 its density at the height of one semi-diameter of the earth, the fame more accurately by experiments of falling bodies, and 290 its elastic force, what cause it may be attributed to... 60 its gravity compared with that of water. 290 its refiftance, collected by experiments of pendulums. 77 128 176 160 313 a theory...... ATTRACTION of all bodies demonstrated.. the certainty of this demonstration fhewn...... the cause or manner thereof no where defined by the the common centre of gravity of the earth, fun, and all the pla- its diftance from the earth and from the moon. COMETS, a fort of planets, not meteors.... 183 245 .261, 285 higher than the moon, and in the planetary regions........ 254 fhine by the fun's light reflected from them.... ..... ... 260 258, 261 those which come nearest to the fun probably the least...... 297 307 may fometimes fall into the fun, and afford a new supply of ibid. the use of them hinted. 294 |