Archimedes - Archimedis De iis qvae vehvntvr in aqva libri dvo

Scan	Original
31	10
32
33	11
34
35	12
36
37	13
38
39	14
40
41	15
42
43	16
44
45	17
46
47	18
48
49	19
50
51	20
52
53	21
54
55	22
56
57	23
58
59	24
60

138FED. COMMANDINI ad priſma a b c e f g. quare linea s y ad y t eandem propor-
tionem habet, quam priſma a d c e h g ad priſma a b c e f g.
Sed priſmatis a b c e f g centrum grauitatis eſts: & priſma-
tis a d c e h g centrum t. magnitudinis igitur ex his compo
ſitæ, hoc eſt totius priſmatis a g centrum grauitatis eſt pun
ctum y; medium ſcilicet axis u x, qui oppoſitorum plano-
rum centra coniungit.

Rurſus ſit priſma baſim habens pentagonum a b c d e:
& quod ei opponitur ſit f g h _K_ l: ſec enturq; a f, b g, c h,
d _k_, el bifariam: & per diuiſiones ducto plano, ſectio ſit pẽ
tagonũ m n o p q. deinde iuncta e b per lineas le, e b aliud
planum ducatur, diuidẽs priſ

93[Figure 93] ma a k in duo priſmata, in priſ
ma ſcilicet al, cuius plana op-
poſita ſint triangula a b e f g l:
& in prima b _k_ cuius plana op
poſita ſint quadrilatera b c d e
g h _k_ l. Sint autem triangulo-
rum a b e, f g l centra grauita
tis puncta r ſ: & b c d e, g h _k_ l
quadrilaterorum centra tu:
iunganturq; r s, t u o ccurren-
tes plano m n o p q in punctis
x y. & itidem iungãtur r t, ſu,
x y. erit in linea r t cẽtrum gra
uitatis pentagoni a b c d e;
quod ſit z: & in linea ſu cen-
trum pentagoni f g h k l: ſit au
tem χ: & ducatur z χ, quæ di-
cto plano in χ occurrat. Itaq;
punctum x eſt centrum graui
tatis trianguli m n q, ac priſ-
matis al: & y grauitatis centrum quadrilateri n o p q, ac
priſmatis b k. quare y centrum erit pentagoni m n o p q. &

Page concordance

Text layer

Text normalization

Search

Scan	Original
31	10
32
33	11
34
35	12
36
37	13
38
39	14
40
41	15
42
43	16
44
45	17
46
47	18
48
49	19
50
51	20
52
53	21
54
55	22
56
57	23
58
59	24
60

Scan	Original
31	10
32
33	11
34
35	12
36
37	13
38
39	14
40
41	15
42
43	16
44
45	17
46
47	18
48
49	19
50
51	20
52
53	21
54
55	22
56
57	23
58
59	24
60

Scan	Original
31	10
32
33	11
34
35	12
36
37	13
38
39	14
40
41	15
42
43	16
44
45	17
46
47	18
48
49	19
50
51	20
52
53	21
54
55	22
56
57	23
58
59	24
60