Archimedes - Archimedis De iis qvae vehvntvr in aqva libri dvo

Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo

Table of contents

[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.

114FED. COMMANDINI tes æqueponderantes ipſam diuidet.

2 Priſmatis, cylindri, & portionis cylindri axem
appello rectam lineam, quæ oppoſitorum plano-
rum centra grauitatis coniungit.

3 Pyramidis, coni, & portionis coni axem dico li
neam, quæ à uertice ad centrum grauitatis baſis
perducitur.

4 Si pyramis, conus, portio coni, uel conoidis ſe-
cetur plano baſi æquidiſtante, pars, quæ eſt ad ba-
ſim, fruſtum pyramidis, coni, portionis coni, uel
conoidis dicetur; quorum plana æquidiſtantia,
quæ opponuntur ſimilia ſunt, & inæqualia: axes
uero ſunt axium figurarum partes, quæ in ipſis
comprehenduntur.

PETITIONES.

1 Solidarum figurarum ſimilium centra grauita-
tis ſimiliter ſunt poſita.

2 Solidis figuris ſimilibus, & æqualibus inter ſe
aptatis, centra quoque grauitatis ipſarum inter ſe
aptata erunt.

THEOREMA I. PROPOSITIO I.

Omnis figuræ rectilineæ in circulo deſcriptæ,
quæ æqualibus lateribus, & angulis

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