Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo

Table of contents

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[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.
[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.
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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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