Valerio, Luca, De centro gravitatis solidorvm libri tres

Table of figures

< >
[Figure 11]
Page: 22
[Figure 12]
Page: 23
[Figure 13]
Page: 24
[Figure 14]
Page: 27
[Figure 15]
Page: 29
[Figure 16]
Page: 30
[Figure 17]
Page: 32
[Figure 18]
Page: 34
[Figure 19]
Page: 36
[Figure 20]
Page: 37
[Figure 21]
Page: 38
[Figure 22]
Page: 39
[Figure 23]
Page: 40
[Figure 24]
Page: 42
[Figure 25]
Page: 43
[Figure 26]
Page: 44
[Figure 27]
Page: 46
[Figure 28]
Page: 48
[Figure 29]
Page: 50
[Figure 30]
Page: 52
[Figure 31]
Page: 54
[Figure 32]
Page: 55
[Figure 33]
Page: 56
[Figure 34]
Page: 58
[Figure 35]
Page: 59
[Figure 36]
Page: 60
[Figure 37]
Page: 61
[Figure 38]
Page: 62
[Figure 39]
Page: 63
[Figure 40]
Page: 64
< >
page |< < of 283 > >|
1
PROPOSITIO II.
In omni triangulo vnum dumtaxat punctum
eſt, in quo rectæ ab angulis ad latera incidentes
ſecant ſeſe in eaſdem rationes. & ſegmenta, quæ
ad angulos, ſunt reliquorum dupla. & prædictæ
incidentes ſecant trianguli latera bifariam.
Sit triangulum ABC, cuius duo quælibet latera AB,
AC, ſint bifariam ſecta in punctis D, E, & ductæ rectæ
lineæ BE, CFD, AFG. Dico CF duplam eſſe ipſius
FD, & AF, ipſius FG, & BF, ipſius FE. Et in nullo alio
puncto à puncto F tres rectas ab angulis ad latera inciden­
tes ſecare ſe ſe in eaſdem rationes. Et reliquum latus BC
ſectum eſſe bifariam in puncto G. Quoniam enim eſt vt BA
ad AD, ita CA ad AE: hoc eſt, vt triangulum ABC ad
triangulum ADC, ita triangulum idem ABC ad trian­
gulum AEB; æqualia
erunt triangula ADC,
AEB, & ablato trape­
zio DE communi re­
liquum triangulum BD
F reliquo triangulo C
EF æquale erit: ſed
triangulum ADF eſt
æquale triangulo BDF;
& triangulum AFE
triangulo EFC, pro­
pter æquales baſes, &
7[Figure 7]
communes altitudines; totum igitur triangulum AFB
toti AFC, triangulo æquale erit: ſed vt triangulum AFB

Text layer

  • Dictionary
  • Places

Text normalization

  • Original

Search


  • Exact
  • All forms
  • Fulltext index
  • Morphological index
Impressum