sig@-$ddhanto 1LIt Snn17 In ८ent] b S]n 1' +। 2* Is Ale sun's meridian 83nth-distance (Patting its) ; of that find the bas8-sine (bukunk) and the perpendicularbne (kot}g%). IA, hen, the base-sune 2nd radius lue multipled respectively by the measure of tle gootnor 1n dlgtद, 22. Andl div1ded by the perpendicula1-41nc, the results are the shallow and hypot]honge at mid-aay The problem here is to determine the length of }८ shadow which will be cask at nd day when the ५n lb ३५ । | keln top th liture of the observe be1ng to <no M 'ref dusince 19 fount by a 10c८४s \be fony( s८ (oi thi tru,ht. In .8 15 and then, the cou responding the mid censine hung lm cleul ed Blmple prono ko £yes the desired = 'nu५ lkh u५ anpo१f the sun to |be && / (F'; 11P 121), the Sunm of his South (II 1O1 1D and the north latitude, sZ, gives the ye1th thi inct . ZJ) (ba«4?!y\) \$ DVBy, and it corne (abhejej) + ( JB C]3! BDC$ / amt C3 CD '; / hich proportion, reduced equate ++ 14L { (ht of hid", tlhe shtow and Ed, its h pothenuse 22 'he $ne of telization, multiplied by &le cquot; tia} hypolhenuse, and d11ded by the gonomr-५1ne (¢M} ] iहै), 23 1€s, 1em far the multilhed by the Hypotenuse of any given shadow and divided by latin५ (nalhayakarnt), the $m's measuare of amplitude (arbigra) ९0४12nding to tlha% ]adow In this passag८ we are laught 10c t ८llnayon being known how to itand the measure of emplatd> («g?u) of a a gyn shadow , tx preparatory to de feaung by the nex/ follow my role ha, b ६० () of the shadow, ealculation instead of monour mem 'I hr, fn sep us knd th® $rme of the sun a an]ature1n orr ' to th। ५ t coup2 tgtanglas ABC aud (!H (13, 6 126), which me sum Since the Angles ACB and CIEE e sch &qual to the latude of the phoo!ve Hence EH E{ BAC But the tagles ZH (Eng 18) and ca८ (F१५ 11) are also smalay , EH EC CB Ce Hence, by cquahb of 1 abos, cb Ce BC AC and Ac, %he ne of the uns amplitude, equals BCChuch as he site: of eclination, being equal to DF=muthpld bv Ge, the equinoct hypothenuse, and alv1ded by Cy the gmomon The remaunng part . *of the process depends upon the procuple which we have demonstrates Ste under ver१e , that the measure of amplitude & to the hypothenuse': ¢X& shadow as the son no of emplatude to adhus
