Archimedes - Archimedis De iis qvae vehvntvr in aqva libri dvo

Scan	Original
61	25
62
63	26
64
65	27
66
67	22
68
69	29
70
71	30
72
73	37
74
75	32
76
77	25
78
79	34
80
81	35
82
83	36
84
85	37
86
87	38
88
89	39
90

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.

Page concordance

Text layer

Text normalization

Search

Scan	Original
61	25
62
63	26
64
65	27
66
67	22
68
69	29
70
71	30
72
73	37
74
75	32
76
77	25
78
79	34
80
81	35
82
83	36
84
85	37
86
87	38
88
89	39
90

Scan	Original
61	25
62
63	26
64
65	27
66
67	22
68
69	29
70
71	30
72
73	37
74
75	32
76
77	25
78
79	34
80
81	35
82
83	36
84
85	37
86
87	38
88
89	39
90

Scan	Original
61	25
62
63	26
64
65	27
66
67	22
68
69	29
70
71	30
72
73	37
74
75	32
76
77	25
78
79	34
80
81	35
82
83	36
84
85	37
86
87	38
88
89	39
90