Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo

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[Item 1.]
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[2.] ARCHIMEDIS DE IIS QVAE VEHVNTVR IN AQVA LIBRI DVO. A FEDERICO COMMANDINO VRBINATE IN PRISTINVM NITOREM RESTITVTI, ET COMMENTARIIS ILLVSTRATI.
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[3.] CVM PRIVILEGIO IN ANNOS X. BONONIAE,
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[4.] M D LXV.
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[5.] RANVTIO FARNESIO CARDINALI AMPLISSIMO ET OPTIMO.
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[6.] Federicus Commandinus.
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[7.] ARCHIMEDIS DE IIS QVAE VEHVNTVR IN AQVA LIBER PRIMVS. CVM COMMENTARIIS FEDERICI COMMANDINI VRBINATIS. POSITIO.
Page: 13 (1)
[8.] PROPOSITIO I.
Page: 13 (1)
[9.] PROPOSITIO II.
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[10.] PROPOSITIO III.
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[11.] PROPOSITIO IIII.
Page: 17 (3)
[12.] PROPOSITIO V.
Page: 19 (4)
[13.] PROPOSITIO VI.
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[14.] PROPOSITIO VII.
Page: 21 (5)
[15.] POSITIO II.
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[16.] COMMENTARIVS.
Page: 23 (6)
[17.] PROPOSITIO VIII.
Page: 23 (6)
[18.] COMMENTARIVS.
Page: 25 (7)
[19.] PROPOSITIO IX.
Page: 27 (8)
[20.] COMMENTARIVS.
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[21.] ARCHIMEDIS DE IIS QVAE VEHVNTVR IN AQVA LIBER SECVNDVS. CVM COMMENTARIIS FEDERICI COMMANDINI VRBINATIS. PROPOSITIO I.
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[22.] PROPOSITIO II.
Page: 31 (10)
[23.] COMMENTARIVS.
Page: 33 (11)
[24.] PROPOSITIO III.
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[25.] PROPOSITIO IIII.
Page: 37 (13)
[26.] COMMENTARIVS.
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[27.] PROPOSITIO V.
Page: 41 (15)
[28.] COMMENTARIVS.
Page: 43 (16)
[29.] PROPOSITIO VI.
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[30.] COMMENTARIVS.
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14919DE CENTRO GRAVIT. SOLID. 102[Figure 102]
THEOREMA X. PROPOSITIO XIIII.
Cuiuslibet pyramidis, & cuiuslibet coni, uel
coni portionis, centrum grauitatis in axe cõſiſtit.
SIT pyramis, cuius baſis triangulum a b c: & axis d e.
Dico in linea d e ipſius grauitatis centrum ineſſe. Si enim
fieri poteſt, ſit centrum f: & ab f ducatur ad baſim pyrami
dis linea f g, axi æquidiſtans: iunctaq; e g ad latera trian-
guli a b c producatur in h. quam uero proportionem ha-
bet linea h e ad e g, habeat pyramis ad aliud ſolidum, in
quo K: inſcribaturq; in pyramide ſolida figura, & altera cir
cumſcribatur ex priſmatibus æqualem habentibus altitu-
dinem, ita ut circumſcripta inſcriptam exuperet magnitu-
dine, quæ ſolido _k_ ſit minor. Et quoniam in pyramide pla
num baſi æquidiſtans ductum ſectionem facit figuram ſi-
milem ei, quæ eſt baſis; centrumq; grauitatis in axe haben
tem: erit priſmatis s t grauitatis centrũ in linear q; priſ-
matis u x centrum in linea q p; priſmatis y z in linea p o;
priſmatis η θ in l_i_nea o n; priſmatis λ μ in linea n m; priſ-
matis ν π in m l; & denique priſmatis ρ σ in l e. quare

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