Full text: Archimedes: Archimedis De iis qvae vehvntvr in aqva libri dvo

ARCHIMEDIS 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-
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.

19.1.

A
0028-01

20. COMMENTARIVS.

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

20.1.

A

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, de-

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