circulorum maximorum. Quijm vero fit arcns circuli 

 maximi GI normalis ad G H , erit quoque HI ipfi nor- 

 malis, et proxime — GI, tum vero quoque G w — H/, 

 Im — li et ang. G I w =: H I / , vnde ang. G 1 H = /;/ 1 i. 

 Tab I lam fi per I concipiatur dudus arcus circuli maximi 1 T, 

 Fig. 3. tangens arcus Glm, K I f , facile dcminnfirabitur efle 

 mli — lVm. cof P 1 + 1 A / cof A 1. Ert enim in triangu- 

 lo P I m , cot. P I m. cot. \? m — cof. P I , hinc cot. P I ;» 



— tang. I P ;;/. cof. P I, et ob ang. P 1 T :z 90°, tang. Tlm 



— tang. I P ;;/. cof P I , fme T I ;;; = I P m. cof. P I. Simili- 

 ter ' demonflrabitur efle T I i — . 1 A / cof. A I , hinc m l i 



— I P ;?; cof. P I -h I A i. cof. A I ; atqui ob 1 ?« — 1 i ell 

 1? m. fin. P I zn I A /. fm. A I , proinde 



G 1 H ==: ;« I i =: I A i. fin. A I (cot. A I -h cot. P I) 



Porro fi polo G interuallo G 1 defcribatur arcus I n , ha- 

 betur 



nnc^ T r w — I '^ — l"'-"°^- Pi5 — I P ;;; Sin.^PUo f.fXG . 

 ang. 1 Lr ffi—j^^i — -jiTrG-i^ _ 1 r 7« ^^^ ^ ^ , 



atqui eft 



cof. PIGzztang. ;GI. cot.PI, 



hinc prodibit 



,^ -„ cof.PI.tang.^GI IP;;;cof.PI 



IG m — l? m ^ — — ^ — FTT^i » 5 ob 



fm. G 1 2 cof. ; G I 



fin. G I =: 2 fm. • G I. cof. ; G T. 

 Fiet igitur quoque 



,„. ,^ IP»/cofPI 



IHz-IGw- ?T7^.-' 



2 col. 5 G i 



hincque 



GIH 



