Archimedes, Archimedis De insidentibvs aqvae

Table of contents

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[21.] TERTIVS.
Page: 23 (4)
[22.] QVARTVS.
Page: 24
[23.] QVINTVS.
Page: 25 (5)
[24.] SEXTVS.
Page: 27 (6)
[25.] SEPTIMVS.
Page: 29 (7)
[26.] OCTAVVS.
Page: 30
[27.] NONVS.
Page: 33 (9)
[28.] DECIMVS.
Page: 36
[29.] Archimedis de inſidentibus in bumido li-ber ſecundus explicit, ad laudem Dei.
Page: 47 (16)
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          <head xml:id="echoid-head31" xml:space="preserve">TERTIVS.</head>
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            <s xml:id="echoid-s268" xml:space="preserve">Recta portio rectanguli conoydalis, quando axem habue
              <lb/>
            rit maiorem, quam emiolium eius, quæ uſq; </s>
            <s xml:id="echoid-s269" xml:space="preserve">ad axem omnẽ
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            proportionem habens ad humidum in grauitate dimiſſa in
              <lb/>
            humido ita, ut baſis ipſius tota ſit in humido poſita inclina-
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            ta: </s>
            <s xml:id="echoid-s270" xml:space="preserve">non manet in clinata, ſed reſtituetur ita, ut axis ipfius ſe-
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            cundum perpendicularem ſit.</s>
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            <s xml:id="echoid-s272" xml:space="preserve">_D_Imittatur e
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            nim aliqua portio in humidum æqualis dicta eſt: </s>
            <s xml:id="echoid-s273" xml:space="preserve">& </s>
            <s xml:id="echoid-s274" xml:space="preserve">
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            ſit ipſius baſis in humido. </s>
            <s xml:id="echoid-s275" xml:space="preserve">Secta autem plano per axem recto ad
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            ſuperficiem humidi ſectio ſit quę apol. </s>
            <s xml:id="echoid-s276" xml:space="preserve">rectanguli coni ſectio a-
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            xis autem portionis, & </s>
            <s xml:id="echoid-s277" xml:space="preserve">dyameter ſectio m, ſ, quæ p, f, ſuperficiei autem
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            humidi ſectio ſitq́ue i, ſ, & </s>
            <s xml:id="echoid-s278" xml:space="preserve">ſi inclinata iacet portio non erit ſecundum
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            perpendicularem axis, non ergo faciet quæ p, f, angulos æquales ad i,s,
              <lb/>
            ducatur autem quædam quæ K, ***, æquediſtanter ipſi i, s, contingens ſe-
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            ctionem apol penes o, & </s>
            <s xml:id="echoid-s279" xml:space="preserve">ſolidæ quidem magnitudinis apol centrum
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            grauitatis ſit r, ipſius autem i, p, o, s, ſolidi centrum b, & </s>
            <s xml:id="echoid-s280" xml:space="preserve">eopulata, quæ
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            b, r, educatur, & </s>
            <s xml:id="echoid-s281" xml:space="preserve">centrum grauitatis reliquæ figuræ ſcilicet i, s, l, a, ſit g.
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            </s>
            <s xml:id="echoid-s282" xml:space="preserve">Similiter demonſtrabitur angulus quidem qui ſubr, ***, K, acutus per-
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            pendicularis quæ a, b, r, t, r, ad K, o, producitur cadens inter K, & </s>
            <s xml:id="echoid-s283" xml:space="preserve">o, ſitq́
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            r, t. </s>
            <s xml:id="echoid-s284" xml:space="preserve">Si autem ab ipſis g, b, ducantur æquedistanter ipſir, t, quod quidem
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            in humido abſum ptum ferret ſurſum ſecundum productam per g. </s>
            <s xml:id="echoid-s285" xml:space="preserve">Quod
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            autem extra humidum ſecundum producta per b, feretur deorſum, & </s>
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            non manet ſolidum. </s>
            <s xml:id="echoid-s287" xml:space="preserve">apol ſic ſe habens in humido, ſed quod quidem ſe-
              <lb/>
            cundum a, habcbit lationem ſurſum. </s>
            <s xml:id="echoid-s288" xml:space="preserve">Quod autem ſecundum l, deorſum
              <lb/>
            donec fiat, quæp, f, ſecundum perpendicularem.</s>
            <s xml:id="echoid-s289" xml:space="preserve"/>
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Impressum