Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo

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[Item 1.]
[2.] ARCHIMEDIS DE IIS QVAE VEHVNTVR IN AQVA LIBRI DVO. A FEDERICO COMMANDINO VRBINATE IN PRISTINVM NITOREM RESTITVTI, ET COMMENTARIIS ILLVSTRATI.
[3.] CVM PRIVILEGIO IN ANNOS X. BONONIAE,
[4.] M D LXV.
[5.] RANVTIO FARNESIO CARDINALI AMPLISSIMO ET OPTIMO.
[6.] Federicus Commandinus.
[7.] ARCHIMEDIS DE IIS QVAE VEHVNTVR IN AQVA LIBER PRIMVS. CVM COMMENTARIIS FEDERICI COMMANDINI VRBINATIS. POSITIO.
[8.] PROPOSITIO I.
[9.] PROPOSITIO II.
[10.] PROPOSITIO III.
[11.] PROPOSITIO IIII.
[12.] PROPOSITIO V.
[13.] PROPOSITIO VI.
[14.] PROPOSITIO VII.
[15.] POSITIO II.
[16.] COMMENTARIVS.
[17.] PROPOSITIO VIII.
[18.] COMMENTARIVS.
[19.] PROPOSITIO IX.
[20.] COMMENTARIVS.
[21.] ARCHIMEDIS DE IIS QVAE VEHVNTVR IN AQVA LIBER SECVNDVS. CVM COMMENTARIIS FEDERICI COMMANDINI VRBINATIS. PROPOSITIO I.
[22.] PROPOSITIO II.
[23.] COMMENTARIVS.
[24.] PROPOSITIO III.
[25.] PROPOSITIO IIII.
[26.] COMMENTARIVS.
[27.] PROPOSITIO V.
[28.] COMMENTARIVS.
[29.] PROPOSITIO VI.
[30.] COMMENTARIVS.
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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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