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

122102GEOMETRIE

COROLLARIVM.

_H_Inc liquet cuilibet abſciſſæ in proximis definitionibus propoſitæ li-
neæ reſpondere vnam ex reſiduis, ita vt tot ſint illæ, quæ dicun-
tur reſiduæ omnium abſciſſarum propoſitæ lineæ quot illæ, quæ dicun-
tur eiuſdem omnes abſciſſæ, ſiue recti, ſiue eiuſdem obliqui tranſitus, nam
reſiduæ omnium abſciſſarum propoſitælineæ interiacent inter reliquum
extremum eiuſdem punctum, & eadem illa puncta, inter quæ, & ex-
tremum primò dictum, interiacent omnes abſciſſæ.

VI.

SI pro qualibet earum, quæ dicuntur omnes abſciſſæ pro-
poſitæ rectæ lineæ, ipſa propoſita linea, ſiue eidem æ-
qualis, ſemel aſſumpta intelligatur, iſtæ ſimul collectæ di-
centur: Maximæ omnium abſciſſarum propoſitæ lineæ, vel
ſubintelligentur ſemper eſſe omnium, etiam ſi dicerentur ſo-
lummodò: Maximæ abſciſſarum.

COROLLARIVM.

_E_T quia omnes abſciſſæ tot ſunt, quot omnes reſidue, maximè verò
omnium abſciſſtrum tot ſunt, quot omnes abſciſſæ, nam cuilibet
abſciſſæ reſpondet vna maximarum, ideò maximæ omnium abſciſſarum
propoſitæ lineæ tot erunt, quot etiam reſiduæ omnium abſciſſarum, quot-
cumque ſint omnes abſciſſæ, vel reſiduæ : ideſt pro qualibet reſidua ha-
bebimus quoque vnam maximarum; ijs ſemper recti, vel eiuſdem obli-
qui tranſitus aſſumptis.

VII.

SI cuilibet omnium abſciſſarum propoſitæ rectæ lineæ ad-
iuncta intelligatur alia recta linea cuidam equalis, com-
poſitæ ex omnibus abſciſſis, & adiunctis, ſinul colle ctæ di-
centur : Omnes abſciſſæ propoſitæ lineæ adiuncta tali, nem-
pè adiuncta illa, cui, quę adiunguntur, ſunt ęquales. Sive-
rò fieret hęc adiunctio reſiduis, vel maximis omnium abſciſ-
ſarum, pariter dicerentur : Reſiduæ, vel Maximæ omnium
abſciſſarum adiuncta eadem; rectiſemper, veleiuſdem ob-
liqui tranſitus.

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