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

Table of contents

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[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.
[43.] APPENDIX POSTERIOR Pro declaratione Definit. II.
[44.] SCHOLIVM.
[45.] XII.
[46.] XIII.
[47.] XIV.
[48.] XV.
[49.] POSTVLATA I.
[50.] II.
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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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