Cavalieri, Buonaventura
,
Geometria indivisibilibvs continvorvm : noua quadam ratione promota
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dictæ portionis ſuper omnia quadrata dicti trianguli, ad omnia qua-
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drata dicti trianguli, ſunt vt d@midia totius axis, vel diametri ad axim,
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vel diametrum reliquæ portionis, opor-
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tet ergo, quod dicta ratio diuiſa ſit ma-
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ior ea, quam habet, FM, ad, MA, quæ
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componendo euadit ſexquialtera: </
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go data ratio, quam habet, BH, ad, N
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R, maior ſexquialtera, & </
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<
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HS, æqualis ipſi, NR, & </
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<
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ad, SH, ita, FM, ad, MO, & </
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per, O, ipſa, DE, ad axim, vel diame-
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trum, AM, ordinatim applicata, & </
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<
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gantur, DA, AE; </
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">quoniam ergo, vt,
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BS, ad, SH, ita eſt, FM, ad, MO,
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componendo, BH, ad, HS, vel, NR,
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crit, vt, FM, MO, ad, MO, ſunt autem omnia quadrata portio-
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nis, DAE, (regula, DE,) ad omnia quadrata trianguli, DAE,
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vt, FM, MO, ad, MO, & </
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">OMnia quadrata circuli, vel ellipſis, regula altero axium,
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vel diametrorum, ad omnia quadrata eiuſdem, re-
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gula reliquo axium, vel diametrorum, erunt, vt dictus pri-
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mus axis, vel diameter, ad dictum ſecundum axim, vel dia-
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metrum.</
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gatæ, MC, PF. </
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drata circuli, vel ellipſis, MP, CF, regu-
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la, MC, ad omnia quadrata eiuſdem, re-
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gula, PF, eſſe, vt, MC, ad, PF; </
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tur per puncta, M, P, C, F, tangentes cir-
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culum, vel ellipſim, MPCF, quę ſint, A
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N, ND, DH, HA, conſtituentes paral-
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lelogrammum, AD, circulo, vel ellipſi,
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MPCF, circumſcriptum, cuius latera
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parallela ſint ipſis, PF, MC, axibus, vel
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diametris coniugatis: </
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drata circuli, vel ellipſis, MPCF, regula, MC, ſunt </
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