Cavalieri, Buonaventura
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Geometria indivisibilibvs continvorvm : noua quadam ratione promota
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GEOMETRI Æ
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byperbolam hic babentur, circa ſectiones oppoſitas, quirum communes
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ſunt dictæ paſſiones, quoq; </
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<
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<
s
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xml:space
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">Eadem verò nedum in dictis
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integris ſolidis, ſed etiam in eorum portionibus, ſiue in portionibus ſe-
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ctionum coni abſciſſis per line as ad earum axim, vel diametrum ordina-
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tim ductas, pariter verificari manifeſtum eſt.</
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<
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head
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<
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<
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xml:space
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">PRopoſitis duabus quibuſcumq; </
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<
s
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xml:space
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">ſimilibus figuris, duæ quæuis re-
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ctæ lineæ earum homologę poterunt eſſe incidentes, vel in ipſis
<
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productis reperientur ſaltem earum incidentes, & </
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<
s
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xml:space
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">oppoſitarum tan-
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gentium, quibus ipſæ incidunt ad eundem angulum ex eadem parte,
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erunt autem dictæ homologæ ſemper inuentarum incidentium par-
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tes proportionales.</
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</
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<
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<
s
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">ſimiles figuræ planæ, IQsP, 487R, in eiſ-
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que duæ quælibet homologę, Is, 47. </
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vel in eiſdem productis reperiri poſſe incidentes prædictarum figura-
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rum, & </
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<
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">oppoſitarum tangentium, quibus occurrant ipſæ homolo-
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gæ, productæ, ad eundem angulum ex eadem parte, quales ſint, D
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L, dO; </
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<
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">Ducantur autem vlterius oppoſitę tangentes, quę
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0110-01
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http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/05TCTFNR/figures/0110-01
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ſunt regulæ homologarum,
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ls, 47, ipſæ, Ad, Co; </
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g, KZ, quarum, & </
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& p. 24.</
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rum figurarum incidentes
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ſint, AC, FK, parallelæ
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ipſis, DL, pu, hoc .</
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2. 19. & p.
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24.</
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poteſt; </
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<
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">erunt autem etiam
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ipſæ, d O, g Y, regulæ ho-
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mologarum, cum faciant
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angulos æquales cum regu-
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lis, dA, gF, vt ſuppono,
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& </
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<
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& </
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<
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">dictarum figurarum inci-
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dentes parallelæ eiſdem, A
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d, Fg, ſint ipſę, LO, uY,
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tales incidentes: </
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<
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">Vel ergo
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homologæ datæ, ls, 47,
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terminantur ad oppofitas
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tangentes, DL, dO; </
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<
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gY, velnon, & </
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f; </
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punctis, B, G. </
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