Cavalieri, Buonaventura
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Geometria indivisibilibvs continvorvm : noua quadam ratione promota
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LIBER II.
"/>
ſct Icoſaedrum, AC, &</
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ſimiliter, ac in cubis inuenta eſſent Icoſaedra, AD, DB, quorum diffe-
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rentia eſſet æqualis dato Icoſaedro, AC, nec non eorumdem laterum bo-
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mologorum differentia æqualis datæ rectæ lineæ, AB. </
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<
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xml:space
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">Sic etiam datæ
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Sphæræ Orbem datæ craſſitici, minoris tamen illius ſemidiametro, æqua-
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lem poſſibile erit inuenire. </
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<
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<
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">ſolido,
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duorum ipſi dato ſimilium differentiam æqualem poſſibile erit inuenire,
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quorum pariter linearum, ſeu laterum bomologorum differentia ſit da-
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ta, dummodo ea ſit minor linea, ſeu latere propoſiti ſolidi prædictis
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bomologo, quodex ſuperius dictis facilè conſiare poteſt.</
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<
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">SCHOLIVM.</
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<
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">NOnnulla autem ex præfatis proximis Propoſitionibus etiam ab
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alijs oſtenſæ fuerunt, ſed ne Lectori ad alios Libros pro barum
<
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captu eſſet recurrendum, bic eas adiungere placuit, pręcipuè cum ea-
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rum adductę demonſtrationes abaliorum Auctorum rationibus, ni fal-
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lor, non parum ſint differentes, cum ferè omnes ex vnica Propoſ. </
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<
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</
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<
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">via ſatis compendioſa deductæ ſint; </
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<
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xml:space
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">qued olim me circa Propoſitiones
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Secundi Elem. </
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<
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">à prima nempè vſq; </
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<
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">præſtitiſſe memini, eas omnes
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ex prima compendioſiſſimè demonſtrando, vt etiam poſtmodum, & </
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<
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trem Clauium feciſſe animaduerti.</
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<
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<
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0215-01
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xlink:href
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http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/05TCTFNR/figures/0215-01
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