Archimedes - Archimedis De iis qvae vehvntvr in aqva libri dvo

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28ARCHIMEDIS extra humidi ſuperficiem, axem habetin perpendiculari
per _k_: & propter ea, quæ ſuperius dicta ſunt, centrum gra-
uitatis ipſius eſt in linea n _k_, quod ſitr; totius autem por-
tionis centrum grauitatis eſt in linea f t, inter _k_ & f, quod
ſit x. reliquæ ergo figuræ, eius ſcilicet, quæ eſt in humido,
centrum erit in rectalinea r x producta ad partes x; & aſ-

16[Figure 16] ſumpta ex ea linea quadam, quæ ad x r eandem habeat pro
portionem, quam grauitas portionis, quæ eſt extra humi-
dum, ad grauitatem figuræ, quæ in humido. Sit autem o
centrum dictæ figuræ: & per o perpendicularis ducatur
l o. Feretur ergo grauitas portionis quidem, quæ eſt ex-
tra humidum, per rectam r l deorſum; figuræ autem, quæ
in humido, per rectam o l ſurſum. non manet igitur flgu-
ra; ſed partes eius, quæ ſuntad h, deorſum ferẽtur; & quæ
ad e ſurſum. atque hoc ſemper erit, donec f t ſecundum
perpendicularem fiat.

COMMENTARIVS.

ITAQVE figura, quæ extra humidi ſuperficiem,
11A axem habet in perpendiculari per _k_. ]

D_vcatvr_ enim b c, quæ ſecet lineam n k in m: ipſa uero
n k circunferentiam a b c d ſecet in g. eodem modo, quo ſupra,

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Scan	Original
91	40
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93	41
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95	42
96
97	43
98
99	44
100
101	43
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103
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106
107
108
109
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111
112
113	1
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115	2
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117	3
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Scan	Original
91	40
92
93	41
94
95	42
96
97	43
98
99	44
100
101	43
102
103
104
105
106
107
108
109
110
111
112
113	1
114
115	2
116
117	3
118
119	4
120