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 > >|
ARCHIMEDIS
tur centrum grauitatis eius, quæ extra humidum in pro-
tracta, quod ſit g.
Itaque per z g ductis perpendiculari-
Pbus ad humidi ſuperficiem, quæ ipſi t h æquidiſtent;
ſequi-
tur portionem ipſam non manere, fed reuolui adeo, ut a-
xis cum ſuperficie
Figure: /permanent/library/4E7V2WGH/figures/0060-01 not scanned
[Figure 36]
humidi angulum
faciat maiorẽ eo,
quem nunc facit.
Et quoniam cũ
antea poſuiſſem´
facere angulũ ma
iorem angulo b,
portio neque tũc
cõſiſtebat;
perſpi
cuũ eſt ipſam con
ſiſtere, ſi angulum
fecerit angulo b
æqualem.
Sic e-
Qnim eriti o æqua-
lis ψ b:
itemq; ω i
æqualis ψ r:
& p h ipſi f. erit igitur m p ſeſquialtera p h;
& p h dupla h m. quare cum h ſit centrum grauitatis eius
partis, quæ eſt in humido, per eandem perpendicularem,
&
ipſa ſurſum, & quæ extra eſt feretur deorſum. mane-
bitigitur portio;
quoniam altera pars ab altera non re-
pelletur.

COMMENTARIVS.

_E T ſit c b ſeſquialtera b r. erit & c d ipſius k r ſeſqui-_
A_altera_.
] In translatione ita legebatur. ſit autem & c b quidem
hemiolia ipſius b r:
c d autem ipſius K r. Sed nos quod postremo
loco legitur, idcirco corrigendum duximus, quoniam illud non po-
nitur ita eſſe, ſed ex ijs, quæ poſita ſunt, neceſſario colligitur.
ſi enim

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