Cavalieri, Buonaventura, Geometria indivisibilibvs continvorvm : noua quadam ratione promota

Table of contents

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[71.] THEOREMA IX. PROPOS. XII.
[72.] COROLLARIV M.
[73.] THEOREMA X. PROPOS. XIII.
[74.] THEOREMA XI. PROPOS. XIV.
[75.] THEOREMA XII. PROPOS. XV.
[76.] SCHOLIVM.
[77.] THEOREMA XIII. PROPOS. XVI.
[78.] COROLLARIVM.
[79.] THEOREMA XIV. PROPOS. XVII.
[80.] COROLLARIVM.
[81.] THEOREMA XV. PROPOS. XVIII.
[82.] COROLLARIVM.
[83.] THEOREMA XVI. PROPOS. XIX.
[84.] COROLLARIVMI.
[85.] COROLLARIVM II.
[86.] THEOREMA XVII. PROPOS. XX.
[87.] THE OREMA XVIII. PROPOS. XXI.
[88.] COROLLARIVM.
[89.] THEOREMA XIX. PROPOS. XXII.
[90.] COROLLARIVM I.
[91.] COROLLARIVM II.
[92.] LEMMA PRO ANTECED. PROP.
[93.] THEOREMA XX. PROPOS. XXIII.
[94.] COROLLARIVM.
[95.] THEOREMA XXI. PROPOS. XXIV.
[96.] COROLLARIVM.
[97.] THEOREMA XXII. PROPOS. XXV.
[98.] COROLLARIVM.
[99.] THEOREMA XXIII. PROPOS. XXVI.
[100.] THEOREMA XXIV. PROPOS XXVII.
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158138GEOMETRIÆ 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-
113. huius. ſitis tangentibus planis, ſunt inter ſe æqualia ex conſtructione.
Sed
&
hæc ſolida, LDGF, 3687, dico eſſe inter ſe ſimilia: Cum . n.
92[Figure 92] 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
2226. lib. 1. 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
3326. lib. 1. figuræ ex planis inclinata oppoſitis tangentibus parallelis,

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