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

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[41.] B.
Page: 30 (10)
[42.] C.
Page: 30 (10)
[43.] APPENDIX POSTERIOR Pro declaratione Definit. II.
Page: 31 (11)
[44.] SCHOLIVM.
Page: 33 (13)
[45.] XII.
Page: 33 (13)
[46.] XIII.
Page: 33 (13)
[47.] XIV.
Page: 34 (14)
[48.] XV.
Page: 34 (14)
[49.] POSTVLATA I.
Page: 34 (14)
[50.] II.
Page: 34 (14)
[51.] PROBLEMA I. PROPOS. 1.
Page: 34 (14)
[52.] COROLLARIVM.
Page: 35 (15)
[53.] PROBLEMA II. PROPOS. II.
Page: 35 (15)
[54.] PROBLEMA III. PROPOS. III.
Page: 36 (16)
[55.] SCHOLIVM.
Page: 37 (17)
[56.] THEOREMA I. PROPOS. IV.
Page: 37 (17)
[57.] COROLLARIVM I.
Page: 38 (18)
[58.] COROLLARIVM II.
Page: 38 (18)
[59.] THEOREMA II. PROPOS. V.
Page: 38 (18)
[60.] THEOREMA III. PROPOS. VI.
Page: 39 (19)
[61.] COROLLARIVM.
Page: 40 (20)
[62.] THEOREMA IV. PROPOS. VII.
Page: 40 (20)
[63.] THEOREMA V. PROPOS. VIII.
Page: 41 (21)
[64.] COROLLARIV M.
Page: 42 (22)
[65.] THEOREMA VI. PROPOS. IX.
Page: 42 (22)
[66.] COROLLARIVM.
Page: 43 (23)
[67.] THEOREMA VII. PROPOS. X.
Page: 43 (23)
[68.] THEOREMA VIII. PROPOS. XI.
Page: 44 (24)
[69.] COROLLARIV M.
Page: 46 (26)
[70.] LEMMA PRO ANTECED. PROP.
Page: 47 (27)
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222GEOMETRIÆ
C.
11C
CVm earum vnius contactus fuetit in linea, tunc linea
contactus vocabitur baſis eiuſdem figuræ, reſpectu
cuius poterunt dici vertices puncta contactuum alterius
tangentis: vel ſi iſtius contactus pariter ſit in linea, ambæ
lineæ contactus, oppoſitæ baſes, ſumptæ reſpectu
cuiuſcumq; lineæ, cuiſint æquidiſtantes.
A. II.
22A
CVm plana inuicem parallela tetigerint aliquod ſoli-
dum, vnumquodq; punctum contactus illius vertex
dicatur; & oppoſiti vertices puncta contactuum vtriuſque
dictorum tangentium planorum ſimul comparata: quilibet
autem vertices ſemper intelligantur aſſumpti reſpectu cu-
inſcumq. plani dictis tangentibus æquidiſtantis, quod in-
fra regula pariter appellatur.
B.
33B
IPſa tengentia plana dicantur, oppoſita tangentia plana
eiuſdem ſolidi, reſpectu dicti plani tangentibus æqui-
diſtantis aſſumpta.
C.
44C
CVm dictorum tangentium contactus fuerit in plano,
tunc vtriuſuis tangentium planorum plana conta-
ctus baſes dicantur, cuius reſpectu puncta contactus reli-
quitangentis plani poterunt vertices appellari, & vtriuſq;
tangentium planorum contactus plana dicentur, oppoſitæ
baſes: cum verò vtriuſque contactus fuerit in linea, oppoſi-
tæ baſes lineares ipſæ lineæ contactus vocabuntur.
D.
55D
CVm figuræ planæ oppoſitis tangentibus vtcumq. du-
ctis, & ſolidę oppoſitis planis tangentibus, inciderit
perpendiculariter recta linea in eadem tangentia termina-
ta, dicetur hæc altitudo propoſitæ figuræ planæ, vel ſolidę,
reſpectu dictorum tangentium, vel cuiuſcumque eidem
æquidiſtantis, aſſumpta.

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