Cavalieri, Buonaventura
,
Geometria indivisibilibvs continvorvm : noua quadam ratione promota
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GEOMETRIÆ
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xml:space
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">A. COROLL. SECT IO I.</
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xml:space
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">_H_Inc habetur omnia quadrata trilineorum ſub tangentibus, & </
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cantibus, veluti ſunt, AD, DC, regulis tangentibus, eſſe
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inter ſe, vt omnia quadrata parallelogrammorum ſub eiſdem tangen-
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tibus, & </
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<
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">ſecantibus, regulis ijſdem tangentibus, quoniam dictorum
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trilineorum omnia quadrata ſunt ſextæ partes omnium quadratorum di-
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ctorum parallelogram norum; </
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<
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colligemus, ſcilicet.</
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xml:space
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">_S_I dicti triliaei fuerint in eadem altitudine, quòd omnia quadrata
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earundem erunt inter ſe, vt baſium quadrata @ſ. </
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ſi fuerint dictitrilinei in eadem baſi ſcilicet tangente, dicta omnia qua-
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drata erunt inter ſe, vt altitudines, vel, vt ſecantes æqualiter baſibus
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ſcilicettangentibus, inclinata.</
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xml:space
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">_I_Tem quod omnia quadrata dictorum trilineorum habebunt inter ſe
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rationem compoſitam ex ratione quadratorum baſium, & </
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ne altitudinum, vel ſecantium æqualiter baſibus, ſcilicet tangenti-
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bus, inclinatarum.</
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<
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">_P_Ariter quod omnia quadrata dictorum trilineorum, quorum tan-
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gentium quadrata altitudinibus, vel ſecantibus æqualiter tangen-
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t
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ibus inclinatis reciprocantur, eſſe æqualia; </
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<
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">quæ ſunt æqualia, eſſe
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trilineorum, quorum baſium, vel tangentium quadrata altitudinibus,
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vel ſecantibus equaliter tangentibus inclinatis, reciprocantur.</
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<
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0344-01
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http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/05TCTFNR/figures/0344-01
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