Archimedes - Archimedis De iis qvae vehvntvr in aqva libri dvo

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1236DE CENTRO GRAVIT. SOLID. habebit maiorem proportionẽ,

79[Figure 79] quam c b ad b a. fiat o b ad b a,
ut figura rectilinea ad portio-
nes. cum igitur à circulo, uel el-
lipſi, cuius grauitatis centrum
eſt b, auferatur figura rectilinea
e f g h k l m n, cuius centrum a;
reliquæ magnitudinis ex portio
118. Archi-
medis. nibus compoſitæ centrum graui
tatis erit in linea a b producta,
& in puncto o, extra figuram po
ſito. quod quidem fieri nullo mo
do poſſe perſpicuum eſt. ſequi-
tur ergo, ut circuli & ellipſis cen
trum grauitatis ſit punctum a,
idem quod figuræ centrum.

ALITER.

Sit circulus, uel ellipſis a b c d,
cuius diameter d b, & centrum e: ducaturq; per e recta li
nea a c, ſecans ipſam d b adrectos angulos. erunt a d c,
a b c circuli, uel ellipſis dimidiæ portiones. Itaque quo-
niam por

80[Figure 80] tiõis a d c
cétrū gra-
uitatis eſt
in diame-
tro d e: &
portionis
a b c cen-
trum eſt ĩ
ipſa e b: to
tius circu
li, uel ellipſis grauitatis centrum eritin diametro d b.
Sit autem portionis a d c cẽtrum grauitatis f: &

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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