Full text: Oeuvres mathématiques diverses (Tome 1)

20^ 
(EUVRES DE FERMAT. — I* PARTIE. 
rectz:e AC in directum positam; super rectà AM describatur semieir- 
culus, quem rectze DBC, EFO secent in punetis G et H. Ratio curvae 
Fig. 116. 
ar 
AD «ad 7 summam curve cireularis AG et recte GC dabitur : erit 
nempe 
ut quadratum BC ad differentiam quadratorum DC, CB, 
ita potestate summa lineze circularis AG et rectae GC ad curvam AD, 
et similiter summa linezx circularis AH et rectae HO in eadem erit ra- 
tione ad curvam AE. 
V 
Sit in figura sexta (//g. 117) parabole AC, cujus vertex A, axis AB, 
eo I1. 
T 
- 
applieata CB; a curva parabolica CA deriventur aliz in infinitum ceurvze 
CD, CE, CF, simili qua in figura tertia (/zg. 114) usi sumus methodo, 
nisi quod in hae terminum applicate servamus, in illa vero terminum 
axis eumdem semper retinemus. 
Dueatur nempe GHIOM (fig. 117) axi AB parallela : ea erit natura
	        
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