Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo

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[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.
[31.] LEMMAI.
[32.] LEMMA II.
[33.] LEMMA III.
[34.] LEMMA IIII.
[35.] PROPOSITIO VII.
[36.] PROPOSITIO VIII.
[37.] COMMENTARIVS.
[38.] PROPOSITIO IX.
[39.] COMMENTARIVS.
[40.] PROPOSITIO X.
[41.] COMMENTARIVS.
[42.] LEMMA I.
[43.] LEMMA II.
[44.] LEMMA III.
[45.] LEMMA IIII.
[46.] LEMMA V.
[47.] LEMMA VI.
[48.] II.
[49.] III.
[50.] IIII.
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13110DE CENTRO GRA VIT. SOLID. 87[Figure 87]
THE OREMA VIII. PROPOSITIO VIII.
Cuiuslibet priſmatis, & cuiuslibet cylindri, uel
cylindri portionis grauitatis centrum in medio
ipſius axis conſiſtit.
Sit primum a f priſma æ quidiſtantibus planis contentũ,
quod ſolidum parallelepipedum appellatur:
& oppoſito-
rum planorum c f, a h, d a, f g latera bifariam diuidantur in
punctis k l m n o p q r s t u x:
& per diuiſiones ducantur
plana κ n, o r, s x.
communes autem eorum planorum ſe-
ctiones ſint lineæ y z, θ φ, χ ψ:
quæ in puncto ω conueniãt.
erit ex decima eiuſdem libri Archimedis parallelogrammi
c f centrum grauitatis punctum y;
parallelogrammi a

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