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

Table of contents

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[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.
[101.] COROLLARIVM.
[102.] THEOREMA XXV. PROPOS. XXVIII.
[103.] DEFINITIO.
[104.] SCHOLIV M.
[105.] LEMMA I.
[106.] LEMMA II.
[107.] LEMMA III.
[108.] LEMMA IV.
[109.] COROLLARIVM.
[110.] LEMMA V.
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154134GEOMETRIÆ figuræ, quæ erunt dictorum ſimilium ſolidorum, & tangentium op
poſitorum, figuræ incidentes, ſint igitur talia duo plana, quorum,
&
oppoſitorum planorum tangentium in ſolido, AP, communes ſe-
ctiones, HL, OO, G, &
ſolidi, V & , Σ 3, 28, in his autem pla-
11Defin. 11.
lib. 1.
nis ſint eorum incidentes figuræ, H {00/ }, Σ 2, iſtæ igitur erunt figuræ
fimiles, &
tangentur à dictis communibus ſectionibus, quæ erunt li-
22B. Def. 10.
Lib. 1.
nearum homologarum earundem etiam regulæ, ſint earum inciden,
90[Figure 90] tes vtcunque inter eaſdem ductæ, LG, 38, &
extendantur inter di-
cta oppoſita tangentia vtcunque plana eiſdem æquidiſtantia, altitu-
dines propoſitorum ſolidorum reſpectu dictorum tangentium ſum-
ptas ſimiliter ad eandem partem diuidentia, ſit igitur vnius ductorum
planorum concepta in ſolido, AP, figura, BC, eiuſdem autem, &

figuræ, H {00/ }, communis ſectio, OX, quod etiam ſecet incidentem
figuræ, H {00/ }, quæ eſt, LG, in, E;
pariter alterius planiconcepta
in ſolido, V &
, figura ſit, Π Ω, idem verò planum ſecet figuram, Σ

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