Archimedes - Archimedis De iis qvae vehvntvr in aqva libri dvo

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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. &

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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