Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo

List of thumbnails

< >
71
71 (30)
72
72
73
73 (37)
74
74
75
75 (32)
76
76
77
77 (25)
78
78
79
79 (34)
80
80
< >
page |< < of 213 > >|
134FED. COMMANDINI t u, x y ipſi g h æquidiſtare. Et quoniam triangula, quæ
fiunt
à lineis K y, y u, u s, s h æqualia ſuntinter ſe, &
ſimilia
triangulo
K m h:
habebit triangulum K m h ad triangulũ
1119. ſexti K δ y duplam proportionem eius, quæ eſt lineæ k h ad K y.
ſed _K_ h poſita eſt quadrupla ipſius k y. ergo triangulum
κ
m h ad triangulum _K_ δ y eãdem proportionem habebit,
quam
ſexdecim ad unũ &
ad quatuor triangula k δ y, y u,
u
s, s α h habebit eandem, quam fexdecim ad quatuor, hoc
eſt
quam h K ad κ y:
& ſimiliter eandem habere demonſtra
bitur
trian-
90[Figure 90] gulum κ m g
ad
quatuor
triãgula
K δ
x
, x γ t, t β r,
r
z g.
quare
222. uel 121
quinti
.
totum trian
gulum
K g h
ad
omnia tri
angula
g z r,
r
β t, t γ x, x δ
_K_
, K δ y, y u,
u
s, s α h ita
erit
, ut h κ a d
k
y, hoc eſt
ut
h m ad m
q
.
Si igitur in
triangulis
a b c, d e f deſcribantur figuræ ſimiles ei, quæ de-
ſcripta
eſt in g h K triangulo:
& per lineas ſibi reſp onden-
tes
plana ducantur:
totum priſma a f diuiſum eritin tria
ſolida
parallelepipeda y γ, u β, s z, quorum baſes ſunt æ qua
les
&
ſimiles ipſis parallelogrammis y γ, u β, s z: & in octo
priſmata
g z r, r β t, t γ x, x δ K, κ δ y, y u, u s, s α h:
quorum
item
baſes æquales, &
ſimiles ſunt dictis triangulis; altitu-
do
autem in omnibus, totius priſmatis altitudini æ qualis.

Text layer

  • Dictionary

Text normalization

  • Original
  • Regularized
  • Normalized

Search


  • Exact
  • All forms
  • Fulltext index
  • Morphological index