TRAVAUX MATHÉMATIQUES DIVERS DE 1655 X 1659. 1657. 



243 



[Theorema V.] 



E ft o p a r a b o 1 a a b axe se q u a 1 i t c r d i v i l'a ABC ,ricircaeamlinea 

 o r d i n a t e d e fc r i b a t u r , h u j u fq u c partes q u ae p a r a b o 1 a m a d t c r- 



minos bafis contingunt ut KA, 

 p r o d u c a n t u r ultra b a f i n ut fiant 

 fui ipfius duplae. 



Exponatur autem et hyperbo- 

 les p o r t i o DEF e j u fm o d i , in q u a 

 diametcr Hl^^ j une ta dimidio 

 la te ris tranfverfi El, ad dimi- 

 d i u m 1 a t u s t r a n f v e r Cu m El e a n- 

 d e m r a t i o n e m h a b e n t q u a in recta 

 Avp parabolam in termine bafe os 

 contingens axique occurrens,ad 

 ipfius bafeos dimidium AG. Et 

 fupcr bafi portion is hyperbolae 

 p a r a 1 1 e 1 o g r a m m u m c o n f t i t u a t u r 

 OF eu jus la tus bafi oppofitum 

 p e r c e n t r u m f e c t i on i s I t r a n fe a t, 

 reliqua vero latera 

 f i n t d i a m e t r o p o r- 

 t i o n i s p a r a 1 1 e 1 a. Et 

 di vidât ur la tus | 1 ' 

 q u o d p e r c e n t r u m 

 fectionis eft, in par- 

 tes totidem ac divi- 

 fum fuit latus I I ' 

 circa parabolen de- 

 fcripti cum linea 

 ordinatc circumfcri- 

 b e r e t u r. D u c a n t u r- 

 que a punctis divifio- 

 n u m r e c t ae d i a m et ro 

 parall. PS, QT,Rr, 

 &c. q u £e h y p e r b o 1 îe o c c u r r a n t. D i c o 1 i n e a m OD a d r e 1 i q u a s f i n- 

 gulas PS, QT, lE, &c. eadeni proportione rcfcrri qua et VK ad 

 fingulas rectas KL, LM, MN, &c. fi utrobique eadem in 



