Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo

Table of contents

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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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            erunteadem ra-
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            tione priſmata a
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            e, f m inter ſe æ-
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            qualia. </s>
            <s xml:id="echoid-s4035" xml:space="preserve">quare ſi-
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            militer demon-
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            ſtrabitur priſma
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            f m ad priſma f l
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            eandem habere
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            proportionem,
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            quam priſmatis
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            f m altitudo ad
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            altitudinem ip-
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            ſius f l. </s>
            <s xml:id="echoid-s4036" xml:space="preserve">ergo & </s>
            <s xml:id="echoid-s4037" xml:space="preserve">priſma a e ad priſma f l eandem propor-
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            tionem habebit, quam altitudo ad altitudinem. </s>
            <s xml:id="echoid-s4038" xml:space="preserve">ſequitur
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            igitur ut & </s>
            <s xml:id="echoid-s4039" xml:space="preserve">pyramides, quæ in æqualibus baſibus conſtituũ
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            tur, eandem inter ſe ſe, quam altitudines, proportionem
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            habeant.</s>
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            <s xml:id="echoid-s4041" xml:space="preserve">Sint deinde priſmata a e, a f in eadem baſi a b c d; </s>
            <s xml:id="echoid-s4042" xml:space="preserve">quorũ
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            axes cum baſibus æ quales angulos contineant: </s>
            <s xml:id="echoid-s4043" xml:space="preserve">& </s>
            <s xml:id="echoid-s4044" xml:space="preserve">ſit </s>
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