Appetic 347 determines the value of the enrth', corructed diomotor () to be 17848 yo!anaE Again, from whp &nd2.81 8on's corrected diam•ter, deluct the earbh's diameter (iv. 4 ), 1800 T-WEIDE 5109*.81 and this romaindor, whon roduced by the following proportion iv. 5), 6:00" : 480 : : 51094.81 : 376५.8 give us the excess of the earlh's corgeted liamete' (whict) over the diagneter of the shallow on the nom's mean orbit . IIonce, fron {h TBarth's corrected diamete, deduct IB3; result, 178!.B BG.8 185" .5 Diameter of shadow, divide by 15 Diarustay of alhadow in a te, 90 30" I. 'o determine {he moom's latitutle at the middlo of ho eclipse, and ho amount of gre text obscuration. 'The proportion (. 88) 1,877,917,828 : 882,४.8 : : 1,81,981; 26 ९ ४ 7° »8' 25 gives र the amount of retrograde motion of the nanoon's hole since the sommencementh of the Iron Age. Deducting from bhis € ", for the position of the note up that tirite (note to i. 56-58, and Laking the complement to = whole ciycle, we have p' 22° 31 35 Longitude of moon's ode, mean midnight, at Ujj., deduct for difference of meridian, 1’ 21 y• 22° 30 414" Longitude of nors node, mean midnight, at Wash 'n, deduct motiod during 56* 3", 9 56 १’ 22° 27' 12" ILongitude of moon's Dodo at notment of opposition, subtract from moon's longitude (ii 57) , B* £5° 50 6' 3° 26° Moon's distance from node Are determining the simo (bia/c), 8ine 8° 24 20a Hence the proportion 438 : 27 : : 208 ’ : 16' 25"
