Cavalieri, Buonaventura
,
Geometria indivisibilibvs continvorvm : noua quadam ratione promota
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LIBER III.
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quorum latera ſint prædictis diametris parallela, quæ ideò ſunt æquian-
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gula, vniuerſaliter igitur prædicta ſunt iter ſe, vt parallelogramna re-
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ctangula, vel æquiangula illis circumſcripta; </
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<
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rallelogramma rectangula illis circumſcripta eſſe, vt parallelogramma
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æquiangula pariter illis circumſcripta.</
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<
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">_H_INC vlterius colligitur, quod quæcunque de binis parallelo-
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grammis oſtenſa ſunt in Theorem. </
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conditionibus illic conſideratis circa eorum baſes, & </
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circa eorum latera, eadem & </
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ditiones in proprijs axibus, vel diametris habentibus; </
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<
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parallelogrammaillis circumſcripta, & </
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teribus, vel in baſi, & </
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ctæ concluſiones ſequuntur pro parallelogrammis circumſcriptis, ita
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etiam verificantur pro inſcriptis ellipſibus, ad quas dicta parallelo-
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gramma habent eaſdem rationes, vt probatum eſt, quæ igitur hic non
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ſunt pro ellipſibus ad inuicem comparatis oſtenſa, per ſupracitata
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Theoremata ſupplentur, pro circulis autem hoc tantum habemus, quod
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ſint, vt eorum axium, vel (ſimanis dicere) diametrorum quadrata,
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non aliaque circa eoſdem variatio contingit.</
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iugatis, æqualiter ad inuicem inclinatis compoſitam.</
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ſunt inclinatæ, reciprocè reſpondentes, ſunt æquales; </
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ſunt æquales, & </
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clinatas, eaſdem habent reciprocè reſpondentes.</
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