Clavius, Christoph, Geometria practica

Page concordance

< >
Scan Original
201 171
202 172
203 173
204 174
205 175
206 176
207 177
208 178
209 179
210 180
211 181
212 182
213 183
214 184
215 185
216 186
217 187
218 188
219 189
220 190
221 191
222 192
223 193
224 194
225 195
226 196
227 197
228 198
229 199
230 200
< >
page |< < (171) of 450 > >|
201171LIBER QVARTVS.
DE AREA MVLTIL ATERARVM
figurarum
irregularium.
Capvt IV.
1. FIGVRAS multilateras irregulares, quæ videlicet plura latera habent
11Area multi
lateræ
figuræ.
inæqualia, quam quatuor, etiamſi valdè irregulares ſint, metiemur, vt
trapezia
irregularia, reſoluendo nimirum illasin triangula, &
ſingulorũ
triangulorum
areas inueſtigando.
Nam omnes areæ in vnam ſummam col-
lectæ
æquales ſunt areæ totius figuræ propoſitæ.
Vt ſi figura ſeptem laterum A-
BCDEFG
, reſoluatur in quin que triangula ABG, GBD, DBC, DEF, FDG, ita
22Quando figu-
ra
in triangu-
la
reſolui po-
teſt
, quo m@-
do
ei{us} area
colligatur
.
vteorum latera ſe mutuo non interſecent, in quirendæ ſunt areæ ſingulorũ hoc
129[Figure 129] modo.
Quando omnia latera triangulorum nota effici poſſunt per aliquam
menſuram
, ſiue figura agrum aliquem repræſentet, ſiue in charta ſolum ſit de-
ſcripta
, demittantur ex angulis ad latera oppoſita perpendiculares AH, DI, CK,
DM
, FL, ſingulæ in ſingulis triangulis.
Deinde in triangulo ABG, 339. triang. re-
ctil
.
ex tribus lateribus notis ſegmenta B H, H G;
& ex his perpendicularis A H, vt
cap
.
2. huius lib. Num. 2. declarauimus. Nam AH, in ſemiſſem baſis B G, ducta
producet
aream trianguli A B G.
Eadem que ratione aliorum triangulorum areæ
perueſtigentur
:
atque omnes areæ in vnam redigantur ſummam, vt area toti-
us
figuræ habeatur.
Quod ſi malueris, poteris omnium triangulorum areas in-
dagare
ex tribus lateribus cognitis, per ea, quæ capit.
2. Numer. 1. ſcripſimus,
etiamſi
neque perpendiculares ductæ ſint, neque ſegmenta B H, G H, in-
uenta
.

Text layer

  • Dictionary

Text normalization

  • Original
  • Regularized
  • Normalized

Search


  • Exact
  • All forms
  • Fulltext index
  • Morphological index