Cavalieri, Buonaventura
,
Geometria indivisibilibvs continvorvm : noua quadam ratione promota
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GEOMETRIÆ
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HF, ad circulum, vel ellipſim, MB, EG. </
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<
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">Reuoluatur, HO, cir-
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ca manentem axem, CO, modo ſuprad cto, ex, HO, igitur fiet cy-
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lindrus, H ℟, & </
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<
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">ex figura, CMBEO, fiet quoddam ſolidum ſimi-
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lare prædicto cylindro, auferatur à cylindro, H ℟, cylindrus, NL,
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defcriptus ab, NO, & </
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<
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">à prædicto ſolido ſimilari auferatur ſolidum
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ſimilare genitum ex figura, MGEOC. </
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<
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">Dico nos iam compertum
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habere reſiduum primum. </
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<
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">i. </
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<
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">faſciam ſolidam cylindricam (vtita di-
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http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/05TCTFNR/figures/0290-01
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cam) HFLK, ad reſiduum ſecundum, ad ſolidum, inquam, quod
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gignitur ex reuolutione circuli, vel ellipſis, MBEG, effe vt, HF,
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ad ipſum circulum, vel ellipſim, MBEG; </
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<
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">quod etiam patet de re-
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fiduis quorumlibet ſimilarium ſolidorum ex, HO, & </
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<
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">figura, MBE
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OC, genitorum, demptis ſolidis ſimilaribus genitis ex, NO, & </
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<
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gura, MGEOC, vt ſupra diximus. </
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<
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">Vocetur autem ſolidum, quod
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in ſupradicto exemplo, & </
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<
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">figura gignitur ex reuolutione circuli, vel
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ellipſis, MBEG, Anulus latus circularis, ſi, MBEG, ſit circulus,
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vel, Anulus latus ellipticus, ſi, MBEG, ſit ellipſis.</
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<
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">colligitur ſolidum ſimilare genitum ex, HF, ad fo-
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lidum ſimilare genitum ex figura, NMBEF, eſſe vt, HF, ad
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circulum, vel ellipſim, MBEG, vna cum reſiduo, quod remanet,
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ſi à rectangulo, MG, dematur quarta circuli, vel ellipſis, MAG,
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ablato inſimul exceſſu, quo eadem quarta ſuperat duas tertias rectan-
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guli, MG. </
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<
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patebit ergo cylindrum, H ℟, ad ſolidum genitum ex figura, NM
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BEF, habere ſupradictam rationem, que eſt proximè, vt 21. </
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<
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<
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