(179) 



mat, nunc omnino Jiquct qiion^.odo exprcniO per Tali. V. 



<]U:intit:uem nlgebiMJc^mi et feclorcm Kllipticum exprim:uur. S- ?• 

 Scilicet fi centro C iiUcru;illo C \ zn n a delcrib.itur circiihis 

 AKB, tumquc femiaxc mniore A C ct minorc CH, cllipfis 

 AHB, i'a vt lit dill;inti;i foci ;i ccntro CF~wc/,- nunc fi 

 ad pun<ftum quodcunqnc liiiiiis clliplis P duc;Uur ex foco F 

 reda FP:zz«, ex V in :ixem maiorem norm^ilij. dcmittatur 

 PR quac circulo in Q occurrat, ct iungantur P(^, Q C. I;'.ni 

 quia cof. Q C A — 13 , ntquc C A . T P = C A' — C F . C Q, 



fiet omnino ^-^- — ^ * - ^ ^ =: ""-" . Si nunc aneulub Q C A 



CA CF m a o>t 



exprimnrur per ^, fiet cof. ^ — ^i^^^i , et fedor circuli ACQ 

 — ; «' r7' ^ , hinc quum f\t fcdor A C Q : fedor. A C P = 

 C K : C H r ;/ ^ : « V' («' — ^n^) •> e^it fcctor. A C P =: "°'^^'"''-"'''. 

 Porro quam fit P R' : C A' — C R^ - C H' : C A% crit omnino 

 C A* — CR'— L^^JL*, et introdudis cxpreflionibus Analy- 

 ticis, ob £^" =z !L1^" , fn-a^-ina-u/^^;^ pofuo 

 P R — ji hinc fi ponatur CHzzzZr — a/(«* — w»), fiet 



b V ('«' ^' — (« « — «)' ) = w ^ j' ~ F C . P R , 

 idcoque b \^ (ni* a* — (n a — u/) exprimet duplam aream tri- 

 anguli FPC, fi nunc fcclor Kllipticus AFP cxprimatur lit- 

 tera S et triangulum FPC littcra T, fict fcdor 



A C P — S -f- T — na^cM n^-m») ,^i,^^ 



2 ' 



a6 = L^ p4- il et 



aD — \/(nra'~(na — uy) = ll -\- 



1 T 



n a y .n" — m-") ti a > u» — m') 



1 T 3 s I 2 T I — n 1 



a \ n' — m') n a v \n' — m") n u > in» — m»)' 



quae exprcfllo quotics «ri, omnino abit in ii_. Nunc 



igitur erit 



■'/iL-T-Mr — r»j '^>,m>o> — o — rj») ~ n o >/ (n» — m») nav.n»— wi/ ' 



Z 2 \bi 



