Full text: Cavalieri, Bonaventura: Geometria indivisibilibvs continvorvm

GEOMETRIÆ nam, 9 {10/ } {11/ }, collectę erunt. Si igitur hoc fiat in cęteris figuris, quę
in ſolidis, HZ {00/ }, Σ Γ 2, ipſis tangentibus planis æquidiſtant, tandem
habebimus duo ſolida, quæ ſint, LDFG, 3687, æqualia duobus
ſolidis, HZ {00/ }, Σ Γ 2, ſeu duobus, AP, V & , LDGF, nempè ipſi,
AP, & , 3687, ipſi, V & , nam omnia eorum plana, regulis oppo-
ſitis tangentibus planis, ſunt inter ſe æqualia ex conſtructione. Sed
& hæc ſolida, LDGF, 3687, dico eſſe inter ſe ſimilia: Cum . n. præfatis oppoſitis tangentibus planis (quæ ſunt etiam oppoſita tan-
gentia plana ſolidorum, LDGF, 3687,) incidant quoq; duo pla-
na, LT, 3, {13/ }, ad eundem angulum ex eadem parte (ſunt . n. prima
plana, HG, Σ 8, oppoſitis tangentibus planis æquè, & ad eandem
partem, inclinata, & anguli, TG {00/ }, {13/ } 82, æquales inter ſe, nec-
non anguli, LG {00/ }, 382, vnde etiam ſecunda plana ad eadem tan-
gentia plana ſunt ad eundem angulum ex eadem parte. Sint verò
figuræ ex planis inclinata oppoſitis tangentibus parallelis, altitudi-

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