Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo

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[Item 1.]
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[2.] ARCHIMEDIS DE IIS QVAE VEHVNTVR IN AQVA LIBRI DVO. A FEDERICO COMMANDINO VRBINATE IN PRISTINVM NITOREM RESTITVTI, ET COMMENTARIIS ILLVSTRATI.
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[3.] CVM PRIVILEGIO IN ANNOS X. BONONIAE,
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[4.] M D LXV.
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[5.] RANVTIO FARNESIO CARDINALI AMPLISSIMO ET OPTIMO.
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[6.] Federicus Commandinus.
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[7.] ARCHIMEDIS DE IIS QVAE VEHVNTVR IN AQVA LIBER PRIMVS. CVM COMMENTARIIS FEDERICI COMMANDINI VRBINATIS. POSITIO.
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[8.] PROPOSITIO I.
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[9.] PROPOSITIO II.
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[10.] PROPOSITIO III.
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[11.] PROPOSITIO IIII.
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[12.] PROPOSITIO V.
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[13.] PROPOSITIO VI.
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[14.] PROPOSITIO VII.
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[15.] POSITIO II.
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[16.] COMMENTARIVS.
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[17.] PROPOSITIO VIII.
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[18.] COMMENTARIVS.
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[19.] PROPOSITIO IX.
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[20.] COMMENTARIVS.
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[21.] ARCHIMEDIS DE IIS QVAE VEHVNTVR IN AQVA LIBER SECVNDVS. CVM COMMENTARIIS FEDERICI COMMANDINI VRBINATIS. PROPOSITIO I.
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[22.] PROPOSITIO II.
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[23.] COMMENTARIVS.
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[24.] PROPOSITIO III.
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[25.] PROPOSITIO IIII.
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[26.] COMMENTARIVS.
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[27.] PROPOSITIO V.
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[28.] COMMENTARIVS.
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[29.] PROPOSITIO VI.
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[30.] COMMENTARIVS.
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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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