= (IS3) = 



Pracfcrca obrcriiandiim efl cffc 



^/(LH-iMr-t- f) — h /(<!• (i -4- r*) -f- 1 fl '•J -I- v') 

 — 6 /(f* -h (« -I- v)*) , vbi ob a -{- v' — ~ fit qiioque ' ■" 



h /(L-h 2M r-j-r') =z *^ /(a' -h «*)» 



atqiii ^ / (^* -f- tt*) — r , erit igitnr 



^ /( L -f- 2 M r -h r* ) zn i- j , 



id eft acqiialis diiplo trianguli L C F. Hinc colligitur arca 

 hyperbolica 



H C F L rr fed. H C L ->- A L C F =: ' f °^^^ 



-f-;^/(a^ (i -|-f»)-f- sa-y-i-^';» 



ct are.i hypcrbolica 



nc¥U = 1/ °^^^" 



-H ! ^ /(a' (i -i- e') -h za v -i- <■/"), 

 vnde fit fcflor hypcrboliciis 



LYV — lf iAi_i: — if. °^5^' • 



(a^ 1 1 -(- e* ) -f- 1 a i -i- u* ) 



-T- ; If /(a* (i-»- «') ->- 2a '•y-H -z;^') — i ^ /(a*( i-*-0"+"^^ '^""♦"O 

 = i ^ ./ t^ll — i hf '■''■ . 



Tum vcro hinc liqnct, in aliis h)'pcrbolis coniugatis, quibus 

 idem compctit axi^ transucrfus a^ coniugatus rcro fit ^, 

 cxiilcntc excentricitatc / fi punc^ta /, /'' in hypcrbola con- 

 iugata, m ct m h\ hypcrbola principah' v.:i dctcrminentur, vt 

 fit ftii -\-fm' zn F M -f- F M^, et corda m rt/ ~ M M% eirc 

 omnino, fi iam /;;/, /;// exprimantnr pcr ^, ^'^, 



r r' ' ' r 9 ^P — r r' ,) r' r r S r . 



J y ■L'-i-t Hf-rf*) ■^ V , L' - » U ^i +- ^ I ~-^ VlL -i- a »' r •+- r" ) ' » tL 1-iMr r»|.* 



vbi \/ ^zi a* (\ -\- t'*). Quomodo autcm hacc propofii.io 

 cxade demonftrari queat, nonduiT» quidem mihi liquet. 



DETER- 



