Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo

Table of figures

< >
[Figure 51]
[Figure 52]
[Figure 53]
[Figure 54]
[Figure 55]
[Figure 56]
[Figure 57]
[Figure 58]
[Figure 59]
[Figure 60]
[Figure 61]
[Figure 62]
[Figure 63]
[Figure 64]
[Figure 65]
[Figure 66]
[Figure 67]
[Figure 68]
[Figure 69]
[Figure 70]
[Figure 71]
[Figure 72]
[Figure 73]
[Figure 74]
[Figure 75]
[Figure 76]
[Figure 77]
[Figure 78]
[Figure 79]
[Figure 80]
< >
page |< < of 213 > >|
182FED. COMMANDINI nis, quouſque in unum punctum r conueniant; erit pyra-
midis a b c r, &
pyramidis d e f r grauitatis centrum in li-
nea r h.
ergo & reliquæ magnitudinis, uidelicet fruſti cen-
trum in eadem linea neceſſario comperietur.
Iungantur
d b, d c, d h, d m:
& per lineas d b, d c ducto altero plano
intelligatur fruſtum in duas pyramides diuiſum:
in pyra-
midem quidem, cuius baſis eſt triangulum a b c, uertex d:
& in eam, cuius idem uertex, & baſis trapezium b c f e. erit
igitur pyramidis a b c d axis d h, &
pyramidis b c f e d axis
d m:
atque erunt tres axes g h, d h, d m in eodem plano
d a K l.
ducatur præterea per o linea ſt ip ſi a K æquidiſtãs,
quæ lineam d h in u ſecet:
per p uero ducatur x y æquidi-
ſtans eidem, ſecansque d m in
135[Figure 135] z:
& iungatur z u, quæ ſecet
g h in φ.
tranſibit ea per q: &
erunt φ q unum, atque idem
pun ctum;
ut inferius appare-
bit.
Quoniam igitur linea u o
æ quidiſtat ipſi d g, erit d u ad
112. ſexti. u h, ut g o ad o h.
Sed g o tri-
pla eſt o h.
quare & d u ipſius
u h eſt tripla:
& ideo pyrami-
dis a b c d centrum grauitatis
erit punctum 11.
Rurſus quo-
niam z y ipſi d l æquidiſtat, d z
a d z m eſt, utly ad y m:
eſtque
ly ad y m, ut g p ad p n.
ergo
d z ad z m eſt, ut g p ad p n.
Quòd cum g p ſit tripla p n;
erit etiam d z ipſius z m tri-
pla.
atque ob eandem cauſ-
ſam punctum z eſt centrũ gra-
uitatis pyramidis b c f e d.
iun
ctaigitur z u, in ea erit

Text layer

  • Dictionary

Text normalization

  • Original
  • Regularized
  • Normalized

Search


  • Exact
  • All forms
  • Fulltext index
  • Morphological index