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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14315DE CENTRO GRAVIT. SOLID.97[Figure 97] ni portionem, ita eſt c_y_lindrus ad c_y_lindrum, uel c_y_lin-
dri portio ad c_y_lindri portionem: & ut p_y_ramis ad p_y_ra-
midem, ita priſma ad priſma, cum eadem ſit baſis, & æqua
lis altitudo; erit c_y_lindrus uel c_y_lindri portio x priſma-
ti _y_ æqualis. eftq; ut ſpacium g h ad ſpacium x, ita c_y_lin-
drus, uel c_y_lindri portio c e ad c_y_lindrum, uel c_y_lindri por-
tionem x. Conſtatigitur c_y_lindrum uel c_y_lindri portionẽ
c e, ad priſina_y_, quippe cuius baſis eſt figura rectilinea in
117. quinti ſpacio g h deſcripta, eandem proportionem habere, quam
ſpacium g h habet ad ſpacium x, hoc eſt ad dictam figuram.
quod demonſtrandum fuerat.
THE OREMA IX. PROPOSITIO IX.
Si pyramis ſecetur plano baſi æquidiſtante; ſe-
ctio erit figura ſimilis ei, quæ eſt baſis, centrum
grauitatis in axe habens.

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