Cavalieri, Buonaventura
,
Geometria indivisibilibvs continvorvm : noua quadam ratione promota
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GEOMETRIÆ
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quæ prædictis ſimilibus ſolidis æquabuntur ea nempè, quorum om-
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nes prædictæ adiacentes figuræ erunt omnia plana, nam hæ omnes
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adiacentes erunt æquales omnibus homologis figuris dictorum ſimi-
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lium ſolidorum, quarum omnes lineę in ipſas figuras adiacentes mo-
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dò dicto translatę funt, ſint hęc ſolida, HZ, {00/ }, Σ Γ 2, igitur, AP,
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erit æquale ipſi, HZ {00/ }, &</
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<
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ib. 1.</
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Z {00/ }, Σ Γ 2, eruntinter ſe ſimilia, nam figurę planę in eiſdem captę,
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æquidiſtantes dictis tangentibus planis, & </
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rum tangentium ſumptas ſimiliter, & </
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ſunt inter ſe ſimiles, & </
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nes vni cuidam æquidiſtant, illi nempè, qua regula translationes fa-
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ctæ ſunt, & </
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mologæ duarum planarum ſimilium figurarum, nempè, H {00/ }, Σ 2,
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æqualiter ad figuras adiacentes, & </
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quarum regulæ ſunt communes ſectiones oppoſitorum </
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