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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FED. 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 contine-

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