Benedetti, Giovanni Battista de, Io. Baptistae Benedicti ... Diversarvm specvlationvm mathematicarum, et physicarum liber : quarum seriem sequens pagina indicabit ; [annotated and critiqued by Guidobaldo Del Monte]

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IO. BAPT. BENED.
Cum autem dicit proportionem ipſius .a.c. ad .c.d. & ipſius .c.d. ad .d.e. eſſe vt ipſius
a.b. ad.b.c. & cętera, verum dicit ex .19. quinti Eucli. eo quod cum ex hypotheſi ſit
ipſius, a.b. totalis ad .c.b. totalom vt ipſius .c.b. partialis (ſumptæ vt pars abſciſa ab .a.
b.
pro nunc) ad .d.b. partialem (abſciſam ab .c.b.) erit ex .19. dicta ipſius .a.c. (reſidui
ex .a.b.) ad .c.d. (reſiduum ex .c.b.) vt ipſius .a.b. ad .c.b. & ita probabitur de pro-
portione ipſiuas .c.d. ad .d.e. eadem ratione.
β

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