Cavalieri, Buonaventura
,
Geometria indivisibilibvs continvorvm : noua quadam ratione promota
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GEOMETRI Æ
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nitè ſecat baſis productum planum in recta, 2, Z, perpendiculari
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triangulo per axem, ACF, & </
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F, ductæ parallelæ, TL, HR, igitur quadratum, ℟ S, erit ęquale
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Elem.</
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http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/05TCTFNR/figures/0104-01
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rectangulo, TSL, & </
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tum, MN, æquale rectangulo,
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">Ex Sexta
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lib. 2. feq.
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velex 23.
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Sext. El.</
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HNR, at rectangulum, TSL,
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ad, HNR, habet rationem com-
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poſitam ex ea, quam habet, T
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S, ad, HN, .</
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<
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xml:space
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">i. </
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">SB, ad, BN,
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quia trianguli, BTS, BHN,
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ſunt æquianguli, & </
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<
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habet, SL, ad, NR, .</
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<
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<
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">SV,
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ad, VN, quia pariter trianguli,
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SVL, NVR, ſunt æquiangu-
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li, duę autem rationes, SB, ad,
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BN, &</
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<
s
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">, SV, ad, VN, componunt rationem rectanguli, BSV,
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">Ex Sexta
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lib. 2. feq.
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vel ex 23.
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Sexti El.</
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ad rectangulum, BNV, ergo rectangulum, TSL, ad, HNR, .</
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</
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<
s
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">quadratum, ℟ S, ad quadratum, MN, vel quadratum, ℟ D, ad
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quadratum, MO, erit vt rectangulum, VSB, ad rectangulum, V
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NB, quod oſtendere opu erat; </
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Ellipſis.</
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<
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">_H_Aec circa ſectiones conicas appoſui, tum vt quod menti meæ ſuc-
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currit in lucem proferrem, tum vt eluceſcat, quam facilè paſſio-
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nes, quæ ab. </
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<
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">Apollonio in Elementis conicis circa earundem diametros,
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vel axes quoſcumque demonſtrantur, circa eos, qui axes, vel diametri
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princibales, ſiue ex generatione vocantur modo ſupradicto oſtendantur.
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</
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<
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axibus, vel diametris quibuſcumq; </
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primi Conicorum, ſcilicet.</
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<
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">In Parabola vnamquamque rectarum linearum, quę diametro ex
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generatione ducuntur æquidiſtantes, diametrum eſſe: </
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verò, & </
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per centrum ducuntur, & </
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quamq; </
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<
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ipſi adiacentia: </
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tia ipſi, quę excedunt eadem figura: </
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ficiunt: </
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<
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diametris demonſtrata ſunt, & </
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tingere.</
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