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

Scan	Original
101	81
102	82
103	83
104	84
105	85
106	86
107	87
108	88
109	89
110	90
111	91
112	92
113	93
114	94
115	95
116	96
117	97
118	98
119	99
120	100
121	101
122	102
123	103
124	104
125	105
126	106
127	107
128	108
129	109
130	110

124104GEOMETRIÆ guris iuxta regulas eas, quę ſunt regulę omnium ſimilium fi-
gurarum earundem propoſitarum genitricium figurarum, di-
centur ſolida inter ſe, vel ad inuicem ſimilaria, genita ex di-
ctis figuris iuxta dictas regulas, vel intelligentur ſemper eſſe
inter ſe, ſeu ad inuicem ſimilaria, licet hoc non exprimatur,
quotieſcunq; contrarium aliquid non adijciatur.

11D.

Cum autem duas figuras in eodem plano habuerimus in
eadem altitudine exiſtentes, rectangula ſub ſingulis earum,
quæ dicuntur omnes lineæ vnius propoſitarum figurarum, &
illis in directum reſpondentibus in alia figura ſimul ſumpta
ſic vocabimus, nempè Rectangula ſub eiſdem figuris, regu-
la eadem, quæ eſt omnium ſumptarum linearum regula.

22E.

Cum verò propoſitarum figurarum altera fuerit parallelo-
grammum, cuius baſis, iuxta quam altitudo ſumitur, ſit ſum-
pta pro regula, dicta rectangula vocabuntur etiam: Omnia
rectangula reliquæ figuræ æquè alta ac eorum vnum.

APPENDIX.

Pro antecedentium Definitionum explicatione.

_S_It ſigura plana quæcunque, ABC, duæ eiuſdem oppoſitæ tan-
gentes vtcunque ductæ, EO, BC, intelligantur autem per, E
33_Coroll.i._
_lib.I._ O, BC, indefinitè extenſa duæ plana inuicem parallela, quorum
quod tranſit per, EO, ex. gr. moueatur verſus planum per, BC,
ſemper illi æquidiſtans, donec illi congruat, igitur communes ſe-
ctiones talis moti, ſiue fluentis plani, & figuræ, ABC, quæ in toto
motu ſiunt, ſimul collectæ à me vocantur: Omnes lineæ figuræ, AB
44_Defin.1._
_huius._ C, quarum aliquæ ſint ipſæ, LH, PF, BC, ſumptæ regula earum
vna, vt, BC, recti tranſitus, cum plana parallela rectè ſecant fi-
guram, ABC, eiuſdem obliqui tranſitus, cum illam obliquè ſecant,
eius ſcilicet tranſitus, qui in tali inclinatione ſit.

Intelligamus nunc, ABC, eſſe ſolidum, cuius duo oppoſita pla-
na tangentia ſint, quæ tranſeunt per, EO, BC, moueatur autem
adhuc planum, per, EO, extenſum, verſus planum per, BC,

Page concordance

Text layer

Text normalization

Search

Scan	Original
101	81
102	82
103	83
104	84
105	85
106	86
107	87
108	88
109	89
110	90
111	91
112	92
113	93
114	94
115	95
116	96
117	97
118	98
119	99
120	100
121	101
122	102
123	103
124	104
125	105
126	106
127	107
128	108
129	109
130	110

Scan	Original
101	81
102	82
103	83
104	84
105	85
106	86
107	87
108	88
109	89
110	90
111	91
112	92
113	93
114	94
115	95
116	96
117	97
118	98
119	99
120	100
121	101
122	102
123	103
124	104
125	105
126	106
127	107
128	108
129	109
130	110

Scan	Original
101	81
102	82
103	83
104	84
105	85
106	86
107	87
108	88
109	89
110	90
111	91
112	92
113	93
114	94
115	95
116	96
117	97
118	98
119	99
120	100
121	101
122	102
123	103
124	104
125	105
126	106
127	107
128	108
129	109
130	110