Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo

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[61.] ALEXANDRO FARNESIO CARDINALI AMPLISSIMO ET OPTIMO.
Page: 107
[62.] FEDERICI COMMANDINI VRBINATIS LIBER DE CENTRO GRAVITATIS SOLIDORVM. DIFFINITIONES.
Page: 113 (1)
[63.] PETITIONES.
Page: 114
[64.] THEOREMA I. PROPOSITIO I.
Page: 114
[65.] THEOREMA II. PROPOSITIO II.
Page: 118
[66.] THE OREMA III. PROPOSITIO III.
Page: 121 (5)
[67.] THE OREMA IIII. PROPOSITIO IIII.
Page: 122
[68.] ALITER.
Page: 123 (6)
[69.] THEOREMA V. PROPOSITIO V.
Page: 125 (7)
[70.] COROLLARIVM.
Page: 127 (8)
[71.] THEOREMA VI. PROPOSITIO VI.
Page: 127 (8)
[72.] THE OREMA VII. PROPOSITIO VII.
Page: 129 (9)
[73.] THE OREMA VIII. PROPOSITIO VIII.
Page: 131 (10)
[74.] THE OREMA IX. PROPOSITIO IX.
Page: 143 (15)
[75.] PROBLEMA I. PROPOSITIO X.
Page: 145 (17)
[76.] PROBLEMA II. PROPOSITIO XI.
Page: 146
[77.] PROBLEMA III. PROPOSITIO XII.
Page: 147 (18)
[78.] PROBLEMA IIII. PROPOSITIO XIII.
Page: 148
[79.] THEOREMA X. PROPOSITIO XIIII.
Page: 149 (19)
[80.] THE OREMA XI. PROPOSITIO XV.
Page: 153 (21)
[81.] THE OREMA XII. PROPOSITIO XVI.
Page: 154
[82.] THE OREMA XIII. PROPOSITIO XVII.
Page: 155 (22)
[83.] THEOREMA XIIII. PROPOSITIO XVIII.
Page: 156
[84.] THEOREMA XV. PROPOSITIO XIX.
Page: 157 (23)
[85.] THE OREMA XVI. PROPOSITIO XX.
Page: 160
[86.] THEOREMA XVII. PROPOSITIO XXI.
Page: 164
[87.] THE OREMA XVIII. PROPOSITIO XXII.
Page: 166
[88.] THEOREMA XIX. PROPOSITIO XXIII.
Page: 171 (30)
[89.] PROBLEMA V. PROPOSITIO XXIIII.
Page: 172
[90.] THEOREMA XX. PROPOSITIO XXV.
Page: 174
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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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