Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo

Table of contents

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[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.
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84ARCHIMEDIS quadratum b d; in humidum demiſſa, & poſi-
ta inclinata adeo, ut baſis ipſius non contingat
humidum;
conſiſtet inclinata, ita ut baſis in uno
puncto humidi ſuperficiem contingat:
& axis cũ
ea faciat angulum angulo φ æqualem.
IIII.
Si portio ad humidum in grauitate maiorem
11B quidem proportionem habeat, quàm quadra-
tum f p ad quadratum b d;
minorem uero,
quàm quadratum x o ad b d quadratum;
in hu-
midum demiſſa, &
inclinata adeo, ut baſis ipſius
non contingat humidum conſiſtet, &
manebit
ita, ut baſis in humidum magis demergatur.
V.
Si portio ad humidum in grauitate proportio
nem habeat minorem, quàm quadratum f p ad
quadratum b d:
demiſſa in humidum, & poſita
inclinata adeo ut baſis ipſius non contingat humi
dum:
conſiſtet inclinata, ita ut axis ipſius cum
humidi ſuperficie angulum faciat minorem an-
gulo φ:
& baſis nullo modo ſuperficiem humi-
di contingat.
Hæc autem omnia deinceps de-
monſtrabuntur.

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