Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo

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[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.
[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.
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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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