Clavius, Christoph - Geometria practica

Scan	Original
91	61
92	62
93	63
94	64
95	65
96	68
97	67
98	68
99	69
100	70
101	71
102	72
103	73
104	74
105	75
106	76
107	77
108	78
109	79
110	80
111	81
112	82
113	83
114	84
115	85
116	86
117	87
118	88
119	89
120	90

187157

117[Figure 117]

GEOMETRIÆ
PRACTICÆ
LIBER QVARTVS.

118[Figure 118]

AREAS

Superficierum planarum inueſtigans.

QVEMADMODVM linea recta rect{as} line{as} meti-
11Pen{es} quid
menſuræ li-
nearum re-
ctarum, pla-
narum ſuper-
ficierum &
ſolidorum ſu-
mantur. tur, ita Geometræ ſuperficies plan{as} per ſuperficiem qua-
dratam, & corpora, ſiue ſolida, per corp{us} cubicum me-
tiri ſolent. Nam ſicut linea recta dicitur 100. palmorum
in qua linea vni{us} palmi centies continetur, ita ſuperfi-
cies plana dicitur 100. palmorum, quæ centies quadra-
tum continet, cui{us} lat{us} palmo æquale est: & ſolidum
100. palmorum illud dicitur, quod complectitur 100. cubos, quorum quilibet la-
t{us} habet vni{us} palmi: quod de aliis etiam menſuris, vt de pede, cubito, paſſu,
milliario, & c. intelligendum est. Quia vero quælibet ſuperficies tot quadrata
cuiuſque menſuræ comprehendere dicitur, quot in parallelogrammo rectangulo,
quod illi æquale est, continentur, explicandum primo loco erit, quaratione area
cuiuſlibet rectanguli cognoſcatur. Deinde de area triangulorum, quadrilatero-
rum non rectangulorum, cæterarumque figurarum plurium laterum @gem{us}:
ac denique circulum, eiuſque partes metiemur.

DE AREA RECTANGVLORVM
Capvt I.

22Area qua-
drati, & alte-
ra parte lon-
gioris quo pa-
cto cognoſca-
tur.

QVoniam Euclides defin. 1. lib. 2. docet, omne parallelogram-
mum rectangulum contineri ſub rectis duabus lineis, quæ rectum
comprehendunt angulum; manifeſtum eſt, aream cuiuſque re-
ctanguli produci ex multip licatione duorum laterum circa

Page concordance

Text layer

Text normalization

Search

Scan	Original
91	61
92	62
93	63
94	64
95	65
96	68
97	67
98	68
99	69
100	70
101	71
102	72
103	73
104	74
105	75
106	76
107	77
108	78
109	79
110	80
111	81
112	82
113	83
114	84
115	85
116	86
117	87
118	88
119	89
120	90

Scan	Original
91	61
92	62
93	63
94	64
95	65
96	68
97	67
98	68
99	69
100	70
101	71
102	72
103	73
104	74
105	75
106	76
107	77
108	78
109	79
110	80
111	81
112	82
113	83
114	84
115	85
116	86
117	87
118	88
119	89
120	90

Scan	Original
91	61
92	62
93	63
94	64
95	65
96	68
97	67
98	68
99	69
100	70
101	71
102	72
103	73
104	74
105	75
106	76
107	77
108	78
109	79
110	80
111	81
112	82
113	83
114	84
115	85
116	86
117	87
118	88
119	89
120	90