Cavalieri, Buonaventura
,
Geometria indivisibilibvs continvorvm : noua quadam ratione promota
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LIBER II.
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<
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<
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xml:space
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">_I_V xta ſecundam habebimus omnia quadrata figuræ, ABID, æquar@
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rectang. </
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<
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<
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<
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<
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">_I_V xta quartam habemus omnia quadrata figuræ, ABID, pe@ vnicãm
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lineam, AFI, diuiſæ, æquari omnibus quadratis fi u@arum, AB
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I, AID, & </
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">_I_V xta quintam, ſi ſupponamus lineam, AI, bifariam diuidere omnes
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lineas figuræ, ABID, regula, BD, ſumptas, & </
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AC. </
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tibus, ABC, ACD, cum omnibus quadratis figuræ, ACI, æquari om-
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nibus quadratis figuræ, ABI.</
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à ſola linea, AI, vtcunque, dummodo eadem ſecet omnes æquidi-
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ſtantes ipſi regulæ, BD, in figura, ABID, ductas, & </
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puncto, colligemus inquam omnia quadrata figuræ, ABID, & </
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quadrata figuræ, ADI, æquari rectangulis bis ſub figuris, ABID, A
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DI, vna cum omnibus quadratis, ABI.</
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