Full text: Oeuvres mathématiques diverses (Tome 1)

22 
(EUVRES DE FERMAT. — I* PARTIE. 
et segmento parabolico, ut patet, cireumseriptam, ideoque ipso seg- 
mento majorem. 
Recta itaque B non est major eurvà EXA; sed neque minorem esse 
probabimus. 
Sit enim reeta Q. minor curvà EXA, si fieri potest, et curva superet 
rectam B intervallo 8. 
Cireumseribatur in figura separata (fg. 1260), quam etiam quin- 
Fig. 126 (ey c) 
tam charactere grzeco notavimus, figura constans ex portionibus tan- 
gentium curvà EXA minor, sed quam tamen ipsa curva superet intervallo 
minore ipso 2; et sit illa figura constans ex portionibus tangentium 
XR, YS, 2T, AV. 
Quum itaque curva sit major B intervallo 2, et eadem curva superet 
circumsceriptam intervallo minore ipso 3, ergo circumscripta erit major 
rectà B, ideoque rectangulum sub KL in eircumseriptam erit majus 
segmento parabolico EQMI. 
Sed reetangulum sub KL in eireumseriptam sequatur, ex przedemon- 
stratis, rectangulis sub PF in FE, sub OG in GF, sub NH in HG et sub 
MI in IH : est enim 
ut XR ad FE, ita FP ad KL, 
ideoque 
rectangulum sub KL in XR. quatur — rectangulo sub PF in FE, 
et sic de reliquis,
	        
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