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

Table of contents

< >
[131.] THEOREMA XXXVII. PROPOS. XL.
[132.] SCHOLIVM.
[133.] THEOREMA XXXVIII. PROPOS. XLI.
[134.] THEOREMA XXXIX PROPOS. XLII.
[135.] THEOREMA XL. PROPOS. XLIII.
[136.] THEOREMA XLI. PROPOS. XLIV.
[137.] THEOREMA XLII. PROPOS. XLV.
[138.] THEOREMA XLIII. PROPOS. XLVI.
[139.] THEOREMA XLIV. PROPOS. XLVII.
[140.] COROLLARIVM.
[141.] SCHOLIVM.
[142.] LEMMA.
[143.] COROLLARIVM.
[144.] THEOREMA XLV. PROPOS. XLVIII.
[145.] COROLLARIVM.
[146.] THEOREMA XLVI. PROPOS. XLIX.
[147.] THEOREMA XLVII. PROPOS. L:
[148.] COROLLARIVM I.
[149.] COROLLARIVM II.
[150.] SCHOLIVM.
[151.] Finis Primi Libri.
[152.] CAVALER II LIBER SECVNDVS.
[153.] DIFINITIONES. I.
[154.] COROLLARIVM.
[155.] II.
[156.] COROLLARIVM.
[157.] III.
[158.] COROLLARIVM.
[159.] IV.
< >
page |< < (138) of 569 > >|
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,

Text layer

  • Dictionary

Text normalization

  • Original
  • Regularized
  • Normalized

Search


  • Exact
  • All forms
  • Fulltext index
  • Morphological index