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

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[Item 1.]
[2.] TURNER COLLECTION
[3.] THE LIBRARY UNIVERSITY OF KEELE
[4.] GEOMETRIA INDIVISIBILIBVS CONTIN VOR VM Noua quadam ratione promota. _AVTHORE_ P. BONAVENTVRA CAVALERIO MEDIOLANEN _Ordinis S.Hieron. Olim in Almo Bononien. Archigym._ _Prim. Mathematicarum Profeſſ._ In hac poftrema edictione ab erroribus expurgata. _Ad Illuſtriſs. D. D._ MARTIVM VRSINVM PENNÆ MARCHIONEM &c.
[5.] BONONIÆ, M. DC. LIII.
[6.] _ILLVSTRISSIME_ MARCHIO
[7.] PRÆFATIO
[8.] In huius Libri Autorem.
[9.] In Librum Geometriæ.
[10.] Ad Libri Auctorem.
[11.] Ad Librum Geometriæ.
[12.] DeLibro Geometriæ.
[13.] De Libro Geometriæ.
[14.] Ad Autorem Libri Geometriæ.
[15.] CAVALERII LIBER PRIMVS. In quo præcipuè de ſectionibus Cylindricorum, & Conicorum, nec non ſimilibus figuris quædam element aria præmittuntur; ac aliquæ Pro-poſitiones lemmaticæ pro ſequen-tibus Libris oſtenduntur. DIFINITIONES. A. I.
[16.] B.
[17.] C.
[18.] A. II.
[19.] B.
[20.] C.
[21.] D.
[22.] E.
[23.] SCHOLIVM.
[24.] III.
[25.] A. IV.
[26.] COROLLARIVM.
[27.] B.
[28.] V.
[29.] VI.
[30.] VII.
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3616GEOMETRIÆ
Sit propoſita quæcumque figura plana, AOVE, & in ipſiu@
plano duæ rectæ lineæ, BD, IT, vtcumq;
ſe inuicem fecante@
11Def. 14.10[Figure 10] in puncto;
C, oportet illi parallelogrammum
circumſcribere, cuius latera rectis, SD, IT,
ſint parallela.
Ducantur ergo oppoſitæ tan-
gentes figuræ, AOVE, reſpectu ipſius, IT,
quæ ſint, KM, HL, &
aliæ duæ reſpectu ip-
22Cor. ant. ſius, BD, quæ ſint, KH, ML, quæ cum
prædictis concurrent, nam ſunt parallelæ ip-
ſis, BD, IT, quæ inuicem concurrunr, ſit
ergo concurſus in punctis, K, M, L, H, igi-
tur, KL, erit parallelogrammum, cuius ſin-
gula latera tangent ambitum ſiguræ, vt in
punctis, A, O, V, E, &
ideò erit figuræ, AOVE, circumfcri-
33Def. 14. ptum, habens latera duabus datis rectis lineis, BD, IT, in figu-
ræ, AOVE, plano ſe inuicem ſecantibus, parallela;
quod effi-
cere, &
c.
PROBLEMA III. PROPOS. III.
CVilibet ſolido parallelepipedum circumſcribere, cu-
ius plana oppoſita tribus datis planis, ſe inuicem ſe-
cantibus, ſint parallela.
Sit ſolidum,
11[Figure 11] ACBD, quod-
cumq;
in quo
tria plana, A
CBD, AB, C
D, ſe inuicem
fecent, quæli-
bet duo, opor-
tetſolido, AC
44Def. 1@. BD, paralle-
lepipedum cir-
cūſcribere, cu-
ius oppoſita
plana prædi-
ctis planis ſint
parallela.
Du-
cātur duo pla-
na oppoſita
55Coroll. 1.
huius.
tangentia dictum ſolidum reſpectu cuiuſuis planorum ſe

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