Clavius, Christoph, Geometria practica

Table of contents

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[61.] ALITER.
[62.] PROBLEMA IV.
[63.] ALITER.
[64.] ALITER.
[65.] COROLLARIVM.
[66.] VEL PER SOLOS SINVS.
[67.] PROBLEMA V.
[68.] ALITER.
[69.] PROBLEMA VI.
[70.] PROBLEMA VII.
[71.] PROBLEMA VIII.
[72.] PROBLEMA IX.
[73.] ALITER
[74.] ALITER
[75.] PROBLEMA X.
[76.] PROBLEMA XI.
[77.] PROBLEMA XII.
[78.] PROBLEMA XIII.
[79.] PROBLEMA XIV.
[80.] PROBLEMA XV.
[81.] PROBLEMA XVI.
[82.] PROBLEMA XVII.
[83.] PROBLEMA XVIII.
[84.] PROBLEMA XIX.
[85.] PROBLEMA XX.
[86.] PROBLEMA XXI.
[87.] ALITER.
[88.] ALITER.
[89.] ALITER.
[90.] ALITER.
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              <emph style="sc">In</emph>
            triangulo rectangulo rectangulum ſub dif-
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              <note position="left" xlink:label="note-080-01" xlink:href="note-080-01a" xml:space="preserve">Theorema.</note>
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            ferentia baſis, & </s>
            <s xml:id="echoid-s2081" xml:space="preserve">alterutrius lateris circa rectum
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            angulum, & </s>
            <s xml:id="echoid-s2082" xml:space="preserve">ſub ſumma baſis, & </s>
            <s xml:id="echoid-s2083" xml:space="preserve">eiuſdem lateris,
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            æquale eſt quadrato alterius lateris circa angulum
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            rectum.</s>
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            <s xml:id="echoid-s2085" xml:space="preserve">Nam in triangulo rectangulo A B D, cui{us} angul{us}
              <lb/>
            D, rect{us}, ſiex B, per D, ſemicircul{us} deſcribatur E F D,
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            erit A E, differentia inter baſem A B, & </s>
            <s xml:id="echoid-s2086" xml:space="preserve">lat{us} B D: </s>
            <s xml:id="echoid-s2087" xml:space="preserve">At A F, ſumma erit baſis A B,
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            & </s>
            <s xml:id="echoid-s2088" xml:space="preserve">eiuſdem lateris B D, cum B D, B E, B F, rectæ ſint æqual{es}. </s>
            <s xml:id="echoid-s2089" xml:space="preserve">Dico igitur rectang ulum
              <lb/>
            ſub A E, A F, æquale eſſe quadrato lateris A D. </s>
            <s xml:id="echoid-s2090" xml:space="preserve">Recta enim A D, cum perpendicu-
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            laris ſit ad ſemidiam{et}rum B D, ſemicirculum tang{et} in D. </s>
            <s xml:id="echoid-s2091" xml:space="preserve"> lgitur
              <note symbol="a" position="left" xlink:label="note-080-02" xlink:href="note-080-02a" xml:space="preserve">Coroll. 16.
                <lb/>
              ter.</note>
            gulum ſub A E, A F, quadrato tangentis A D, æquale erit,
              <lb/>
            quod erat demonſtrandum.</s>
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          <note symbol="b" position="left" xml:space="preserve">36. ter.</note>
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          <head xml:id="echoid-head46" xml:space="preserve">FINIS LIBRI PRIMI.</head>
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