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

Table of contents

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[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.
[31.] VIII.
[32.] IX.
[33.] SCHOLIVM.
[34.] A. X.
[35.] B.
[36.] C.
[37.] D. IV.
[38.] E.
[39.] APPENDIX PRIOR Pro explicatione Definit. 10. antecedentis.
[40.] A. XI.
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4222GEOMETRIÆ angula, eodem pacto oſtendemus parallelogramma, QF, BH, eſſe
æquiangula
, vnde concludetur etiam parallelogramma, AN, QF,
eſſeinter
ſe æquiangula, quod oſtendere opus erat.
COROLLARIV M.
_S_I autem intelligamus oppoſitarum baſium cylindrici, AF, ita pra-
ducta
plana, vt ſecentur à plano per latera, AD, PN, QM, RF,
ducto
in rectis, AR, DF, quarum portiones extra cylindricum manen-
tes
ſint, PQ, NM, manifeſtum eſt etiam parallelogrammum, PM,
quod
extra cylindricum conſtituitur, &
quod integratur ex parallelo-
grammis
, AN, PM, QF, .
i. AF, eſſe prædictis æquiangulum.
THEOREMA VI. PROPOS. IX.
SI planum æquidiſtans plano perlatera cylindrici ducto
tangat
cylindricum, contactus fiet in recta linea, velre-
ctis
lineis, quæ erunt latera eiuſdem cylindrici:
Vel ſi tan-
gat
in plano, aut planis, plana contactus erunt parallelo-
gramma
, æquiangula perlatera ducto.

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