INTER SE COMPJRANDIS. 27. 



^atqne V {aa-ggtaa-mgg) 



— ' [a* — mkkJ:t)* 



^nde porro elicitur : 



aaViaa-nigg^-^-mkjy [aa-gg)^ a^V {aa~ml(k]{aa~mff) 

 ^ayiaa-- gg)-i-kjy{aa-mgg)~ay[aa- kk)[aa—fj) 



C a fu s I. 



Tropofito ellipfeos arcu ak in aJtero vertlce a Tab I. 

 ierminato , ab altero iwtice B abfandere arcum Bf , Fig. 4. 

 ita vl arcuum ak et Bf differentia fit geometiica. 



Problema ergo ad honc cafiim transfertur, fi pun- 

 dlum g in vertice B flatUiiW , feu fiat g — a^ et quae- 

 ri oportet pundum /, leu abfcifllim AF~f. Verum 

 ob gz=:a erit G:=:o , ideoque habebitur /— ^^:rkk 

 ^^'^ ^-iAk 1 ^el d'-'^^' ^^ pundum k normaii ^N , 

 capi debet AFzr/r: ~f-. Hoc autem pundo ita 

 fumto , erit arcuum difFerentia 

 Mc.ak-Arc.Bj^^^r,k V i|f;-AJ_^i^\ 



Corollarium. 



Fieri igitur poteft , vt punda h et / in vno 

 pundo e coeant , ficque quadrans ae^ in duas partes 

 diflecetur, quarum differentia fit geometrica. Ad hoc 

 (latuatur ^=:/ — AEzz^, eritqus gz^gV aa-mle -» ^^^ 

 a-iaaee-^me^ — o^ vnde fit ee—~~^-^'^ 

 — — ^, — ob m-j-nn. Hmc ergo ent e-^^^-^y 

 Verum quia effe debet e<^a, erit ^— y-^T^— ^ , fiue 



D 2 AE 



