Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo

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[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.
[71.] THEOREMA VI. PROPOSITIO VI.
[72.] THE OREMA VII. PROPOSITIO VII.
[73.] THE OREMA VIII. PROPOSITIO VIII.
[74.] THE OREMA IX. PROPOSITIO IX.
[75.] PROBLEMA I. PROPOSITIO X.
[76.] PROBLEMA II. PROPOSITIO XI.
[77.] PROBLEMA III. PROPOSITIO XII.
[78.] PROBLEMA IIII. PROPOSITIO XIII.
[79.] THEOREMA X. PROPOSITIO XIIII.
[80.] THE OREMA XI. PROPOSITIO XV.
[81.] THE OREMA XII. PROPOSITIO XVI.
[82.] THE OREMA XIII. PROPOSITIO XVII.
[83.] THEOREMA XIIII. PROPOSITIO XVIII.
[84.] THEOREMA XV. PROPOSITIO XIX.
[85.] THE OREMA XVI. PROPOSITIO XX.
[86.] THEOREMA XVII. PROPOSITIO XXI.
[87.] THE OREMA XVIII. PROPOSITIO XXII.
[88.] THEOREMA XIX. PROPOSITIO XXIII.
[89.] PROBLEMA V. PROPOSITIO XXIIII.
[90.] THEOREMA XX. PROPOSITIO XXV.
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166FED. COMMANDINI compoſitam proportionem habet ex proportione baſiũ,
&
proportione altitudinum. Quare & pyramis, cuius ba-
ſis eſt quadrilaterum a b c d, &
altitudo e f ad pyramidem,
122[Figure 122] cuius baſis quadrilaterum g h K l, &
altitudo m n, compoſi
tam habet proportionem ex proportione baſium a b c d,
g h k l, &
ex proportione altitudinum e f, m n. quod qui-
dem demonſtraſſe oportebat.
Ex iam demonſtratis perſpicuum eſt, priſma
ta omnia, &
pyramides, in quibus axes cum baſi-
bus æquales angulos continent, proportionem
habere compoſitam ex baſium proportione, &

proportione axium.
demonſttatum eſt enim, a-
xes inter ſe eandem proportionem habere, quam
ipſæ altitudines.
THE OREMA XVIII. PROPOSITIO XXII.
Cvivslibet pyramidis, & cuiuslibet

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