Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo

Table of contents

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[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.]
[51. V.]
[52. DEMONSTRATIO SECVNDAE PARTIS.]
[53. COMMENTARIVS.]
[54. DEMONSTRATIO TERTIAE PARTIS.]
[55. COMMENTARIVS.]
[56. DEMONSTRATIO QVARTAE PARTIS.]
[57. DEMONSTRATIO QVINT AE PARTIS.]
[58. FINIS LIBRORVM ARCHIMEDIS DE IIS, QVAE IN AQVA VEHVNTVR.]
[59. FEDERICI COMMANDINI VRBINATIS LIBER DE CENTRO GRAVITATIS SOLIDORV M.]
[60. CVM PRIVILEGIO IN ANNOS X. BONONIAE, Ex Officina Alexandri Benacii. M D LXV.]
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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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