Cavalieri, Buonaventura
,
Geometria indivisibilibvs continvorvm : noua quadam ratione promota
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GEOMETRIÆ
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LIBER TERTIVS.</
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">In quo de circulo, & Ellipſi, ac ſolidis ab
<
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eiſdem genitis, traditur doctrina.</
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xml:space
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">OMnia quadrata portionis circuli, vel El-
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lipſis, ad omnia quadrata parallelo-
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grammi in eadem baſi, & </
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>
<
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xml:space
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">altitudine
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cum portione conſtituti, regula baſi,
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erunt, vt compoſita ex ſexta parte axis,
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vel diametri eiuſdem, & </
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>
<
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quæ portionis, ad axim, vel diame-
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trum reliquæ portionis: </
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<
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xml:space
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">Eadem verò
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ad omnia quadrata trianguli in ijſdem
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exiſtentis erunt, vt compoſita ex dimidia totius, & </
s
>
<
s
xml:id
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xml:space
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">reliquæ
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portionis axi, vel diametro, ad axim, vel diametrum reliquæ
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portionis.</
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<
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</
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<
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<
s
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xml:space
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">Sit circulus, vel ellipſis, EDRP, cuius axis, vel diameter, ER,
<
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ad quem ordinatim applicetur, DP, abſcindens vtcumque portio-
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nem, DEP, quæ ſumatur quoq; </
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<
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xml:space
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">centrum ſit, A, ac
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parallelogrammum, FP, in eadem baſi, DP, cum portione, & </
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<
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xml:space
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dem altitudine; </
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<
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xml:space
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">ſint autem primò, DF, PH, latera parallelogram-
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mi, FP, parallela ipſi, ER. </
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<
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xml:space
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">Dico ergo omnia quadrata portionis,
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DEP, ad omnia quadrata parallelogrammi, FP, eſſe, vt compo-
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ſita ex ſexta parte, EB, & </
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