Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo

Table of contents

< >
[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.
[61.] ALEXANDRO FARNESIO CARDINALI AMPLISSIMO ET OPTIMO.
[62.] FEDERICI COMMANDINI VRBINATIS LIBER DE CENTRO GRAVITATIS SOLIDORVM. DIFFINITIONES.
[63.] PETITIONES.
[64.] THEOREMA I. PROPOSITIO I.
[65.] THEOREMA II. PROPOSITIO II.
[66.] THE OREMA III. PROPOSITIO III.
[67.] THE OREMA IIII. PROPOSITIO IIII.
[68.] ALITER.
[69.] THEOREMA V. PROPOSITIO V.
[70.] COROLLARIVM.
< >
page |< < (4) of 213 > >|
194DE IIS QVAE VEH. IN AQVA. premitur pars humidi, quæ eſt ſub ſuperficie o p. quare ex-
pellet partem minus preſſam, &
non manebit humidum.
ponebatur autem manens. non igitur demergetur tota,
ſed aliqua pars ipſius ex humidi ſuperficie extabit.
PROPOSITIO V.
Solidarvm magnitudinum quæcunque le
uior humido fuerit, demiſſa in humidum vſque
eô demergetur, vt tanta moles humidi, quanta
eſt partis demerſæ, eandem, quam tota magnitu-
do, grauitatem habeat.
DISPONANTVR eadem, quæſupra: ſitq; humi-
dum manens:
& magnitudo e h t f humido leuior. Si igitur
humidum manet, ſimiliter prementur eius partes, quæ æ-
qualiter iacent.
ſimiliter ergo premetur humidum ſub ſu-
perficiebus x o o p.
8[Figure 8] quare æ qualis eſt graui-
tas, qua premuntur.
eſt
autem &
grauitas humi
di, quod in prima pyra-
mide abſque ſolido b h
t c, æqualis grauitati hu
midi, quod in altera py-
ramide abſq;
r s q y hu-
mido.
perſpicuum eſt
igitur grauitatem ma-
gnitudinis e h t f grauitati humidi r s q y æqualem eſſe.
ex
quibus conſtat, tantam humidi molem, quanta eſt pars de
merſa ſolidæ magnitudinis, eandem, quam tota magnitu-
do habere grauitatem.

Text layer

  • Dictionary

Text normalization

  • Original

Search


  • Exact
  • All forms
  • Fulltext index
  • Morphological index