tan~ I v (j_i___J_L — T • i_-_3 f - m — Hnp- ' v — 



tang. I x L__^_j_> - 1 : : - c co /_i _ tane. | a\ 



Ex qua fi cum aequatione tang. \y. tang. 9 x — e , combi- 

 netur , facile liquet aequationem quadraticam fiue pro 

 tang. £JS feu pro tang. \x emergere. Caeterum per mul- 

 tiplicationem ex analogia propofita fequens prodit ae- 

 quatio : 



tano- l V ( ' + ?> cof. n> ) f i _ ~ c c of. n ) _ _ (i +h cof .m) __ (, -ccof .n) i - nQ . i 



l«"_. »/ bcfin.mfin.n bfin.m cfin.n~ ~ ldu &' 2 A ' — 



fon o- • v f«4-ccoJ. Tt)Ci- _ _co__j_J _ (__-j-__co_. n) ( i—bcof m) , i 



tang. 2 * jTfljtei. uCCfti.'? c/i*. a~~ T/^Tm h can S* v • 



§. 4. Quia coefficientes quibus tang. 5 _y, tang. _„• Tab. II. 

 in hac aequatione adfciuntur funt valde perplexi , difpi- Fig. +• 

 ciendum mihi elfe exiftimaui, an pro his rationibus: 



( 1 H- b cof. m ) ( 1 — ccof.n) _ _ . 1 — c co/. n. f 1 — & cof. m ) «. 



b cfm. mftn.n ' * cfin.n bjm.m 



( 1 -t- c c of. n) ( 1 — b cof. m ) _ T . 1 — b cof. m _ — c cof, n ) 



b cjin.mjm. n ' ~~ bftn. m~ cfm.n * 



expreffiones quaedam fmnplices ex natura quaeftionis de- 

 riuandae fubftitui fe patcrentur. Si igitur puncftum A in 

 ipfa Peripheria fitum ponatur , atque ideo fnie tang. _ a* 

 feu tang. _ y nihilo aequalis ftatui poffit ; fi ponatur tang. 

 Ix — o, flet 



fanp" ' V i___£__ Tl ( i — bcof.m) . ( 1 -4- & co/ . m ) ( 1 — c co/. n ) - 



I &' *J cjjn. rj bfin.m ' b cfm.mfin.n 



Pro ifto autem cafu , fi per punclum P quod nunc cum 

 A coincidit , ducatur linea reifta P D circulum in O fe- 

 cans, atque ducatur linea BON circulo denuo occurrens 

 in N , fi iungatur CN, facile patebit fore P C N __ y. 

 Caeterum quod reapfe fit: 



tane. - P C N __ T ~ c c °f - "■ _ _____!/•__! • ( »+&co/. m)(i - c cor.70 __ j 



^* a c/m. n bjin.m ' bcfm.mjin.n * 



fequenti ratiocinio Geometrico confirmatur. 



A&a Acad. lmp. Sc. lom. IV. P. II. K $. 5- 



v_ 



