Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo

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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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            compoſitam proportionem habet ex proportione baſiũ,
              <lb/>
            & </s>
            <s xml:id="echoid-s4121" xml:space="preserve">proportione altitudinum. </s>
            <s xml:id="echoid-s4122" xml:space="preserve">Quare & </s>
            <s xml:id="echoid-s4123" xml:space="preserve">pyramis, cuius ba-
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            ſis eſt quadrilaterum a b c d, & </s>
            <s xml:id="echoid-s4124" xml:space="preserve">altitudo e f ad pyramidem,
              <lb/>
              <figure xlink:label="fig-0166-01" xlink:href="fig-0166-01a" number="122">
                <image file="0166-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/4E7V2WGH/figures/0166-01"/>
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            cuius baſis quadrilaterum g h K l, & </s>
            <s xml:id="echoid-s4125" xml:space="preserve">altitudo m n, compoſi
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            tam habet proportionem ex proportione baſium a b c d,
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            g h k l, & </s>
            <s xml:id="echoid-s4126" xml:space="preserve">ex proportione altitudinum e f, m n. </s>
            <s xml:id="echoid-s4127" xml:space="preserve">quod qui-
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            dem demonſtraſſe oportebat.</s>
            <s xml:id="echoid-s4128" xml:space="preserve"/>
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          <p>
            <s xml:id="echoid-s4129" xml:space="preserve">Ex iam demonſtratis perſpicuum eſt, priſma
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            ta omnia, & </s>
            <s xml:id="echoid-s4130" xml:space="preserve">pyramides, in quibus axes cum baſi-
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            bus æquales angulos continent, proportionem
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            habere compoſitam ex baſium proportione, & </s>
            <s xml:id="echoid-s4131" xml:space="preserve">
              <lb/>
            proportione axium. </s>
            <s xml:id="echoid-s4132" xml:space="preserve">demonſttatum eſt enim, a-
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            xes inter ſe eandem proportionem habere, quam
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            ipſæ altitudines.</s>
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          <head xml:id="echoid-head94" xml:space="preserve">THE OREMA XVIII. PROPOSITIO XXII.</head>
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              <emph style="sc">Cvivslibet</emph>
            pyramidis, & </s>
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