Cavalieri, Buonaventura
,
Geometria indivisibilibvs continvorvm : noua quadam ratione promota
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I, QO, ſic oſtendemus eſſe æquales ipſas, O℟, TL, quia ergo ſe-
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3. huius.</
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ctor, AOQ, ad ſectorem, ΩΟF, eſt vt quadratum, QO, ad quadra-
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tum, OF, ideſt vt quadratum, IM, ad quadratum, MH, ideſt vt
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omnia quadrata, MG, regula, EB, ad omnia quadrata, MN, & </
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ſector, ΩΟF, ad circulum, FK, eſt vt circumferentia, ΩF, ad cir-
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cumferentiam, FΩΚΧ, ideſt vt, MT, ad, EC, ideſt vt omnia qua-
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drata, MN, regula, EB, ad omnia quadrata, ED, & </
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<
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F, ſpatij, OXQ℟PO, triplus eſt, ideſt, ſe habet ad illud, vt omnia
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24. 1. 2.</
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quadrata, ED, ad omnia quadrata trianguli, EBC, regula, EB,
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item ſpatium, OXQ℟P, ad ſpatium, OQ℟PO, eſt vt cubus, OX,
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ab cubum, OQ, ideſt vt cubus, EB, ad cubum, MI, ideſt vt omnia
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quadrata trianguli, EBC, ad omnia quadrata trianguli, MIC, er-
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1. 2.</
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go ex æquali ſector, AOQ, ad ſpatium, OQ℟PO, erit vt omnia
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quadrata, MG, ad omnia quadrata trianguli, MIC, & </
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OQ℟PO, ad ſpatium, ℟PO, eſt vt cubus, OQ, ad cubum, O℟, id-
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eſt vt cubus, MI, ad cubum, TL, ideſt vt omnia quadrata triangu-
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1, 2.</
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li, MIC, ad omnia quadrata trianguli, TLC, ergo ſector, AOQ </
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