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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page |< < of 213 > >|
FED. COMMANDINI
ergo linea a g continenter in duas partes æquales diui-
1. decimiſa, relinquetur tãdem pars aliqua n g, quæ minor eritl m.
Vtraque uero linearum a g, g b diuidatur in partes æqua-
les ipſi n g:
& per puncta diuiſionum plana oppoſitis pla-
5 huiusnis æquidiſtantia ducantur.
erunt ſectiones figuræ æqua-
les, ac ſimiles ipſis a c e, b d f:
& totum priſma diuiſum erit
in priſmata æqualia, &
ſimilia: quæ cum inter ſe congruãt;
& grauitatis centra ſibi ipſis congruentia, reſpondentiaq;
habebunt.
Itaq:
Figure: /permanent/library/4E7V2WGH/figures/0128-01 not scanned
[Figure 84]
ſunt magnitudi-
nes quædã æqua-
les ipſi n h, &
nu-
mero pares, qua-
rum centra gra-
uitatis in eadẽ re
cta linea conſti-
tuuntur:
duæ ue-
ro mediæ æqua-
les ſunt:
& quæ ex
utraque parte i-
pſarum ſimili --
ter æquales:
& æ-
quales rectæ li-
neæ, quæ inter
grauitatis centra
interiiciuntur.
quare ex corolla-
rio quintæ pro-
poſitionis primi
libri Archimedis
de centro graui-
tatis planorum;
magnitudinis ex his omnibus compoſitæ
centrum grauitatis eſt in medio lineæ, quæ magnitudi-
num mediarum centra coniungit.
at qui non ita res ha-

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