■ I •■^ . .1 



.11 AT 



Qnum iglriir fit b — d — c ct h — e — d, fiet; 

 co( b — cof. d cof f — fln. d fin. t' ec 

 cof. b - co(. ^ co(. d ^ fin. </ fin. ^ , 



hincque colligitur ; 



_ jiu^ /- Pjj^_ ^ _ fin. ^ cof. Z' cof. Ct ) : 



2CGj.b ^ T^ / J 



fin. J y= — {J±^*±f - ■ fin « fin. e cof. 



— Tcoih ( fin- '^ - fi"- « co(. ^ cof. (p ) ; 

 vnde denique dedncitur: 



fin. \ X- : fin. \y- — fin. f : fin. e. •?) ' f >^ 



Veium niinc praeftabit, "vt aliam Demonflrationem magis . ;j 

 Geonetricam et ex Theorcmatc praemiflo dcducendam ad- 

 fcramii^i. Ducatiir arcus circuli m;iximi HT, tan^cns cir- 

 cukim C G D in piindlo H, atquc arcus E I a Polo per- 

 pendiculaiis circulo maximo AR, occurrat i(U H I ia 

 puncio 1, tumqnc iiirgantur lA, I F, arcubns circulorum 

 maximorum. Quum iiitur flt anguhis E G F redus, erit 

 per proprictates triangulorum Sphaericorum redangulorum : 



cof. E F ir: cof. E G. cof F G =: cof. E A cof. F fl, 



tum Ycro efl , . ' 



Cof 1 H — -(lL? caf. E F M f. F l 



caj.i-H coj. FH 



ob ang. 1 E H rcdlum, hinc 



cof. 1 H z= cof. E A. cof. E I :=: cof. T A » 



ideoquc arcus 1 A — 1 11 — 1 B. Si igitur polo T, inter- 

 "vallo arcn circuli maximi I A vcl I B defcribatur circulus 

 per A, B, is qucquc per H tranfibit , tumque ob angu- 

 lum IHF rccHum, crit nrcus circuh maximi H F, tangens 

 /lcla Acad. i?np, Se. lom, FL P, U, U iftiu» 



