Clavius, Christoph, Geometria practica

Table of contents

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[31.] Rurſus
[32.] XI. LATVS.
[33.] XII. LATVS.
[34.] Deinde.
[35.] Hæc autem tangens hoc etiam modo inuenietur, qui priori præferendus videtur.
[36.] Poſt hæc.
[37.] XIII. LATVS.
[38.] XIIII. ANGVLOS DVOS.
[39.] XV. ANGVLOS DVOS.
[40.] XVI. ANGVLOS OMNES TRES. Ex tribus omnibus lateribus perueſtigare.
[41.] Rurſus.
[42.] XVII. PERPENDICVLAREM IN LATVS quodcunque ex angulo oppoſito cadentem. Ex tribus omnibus lateribus efficere notam.
[43.] FINIS LIBRI PRIMI.
[44.] GEOMETRIÆ PRACTICÆ LIBER SECVNDVS.
[45.] PROBLEMA I.
[46.] ALITER
[47.] ALITER
[48.] ALITER
[49.] LEMMA.
[50.] SCHOLIVM.
[51.] COROLLARIVM I.
[52.] COROLLARIVM II.
[53.] PROBLEMA II.
[54.] 2. ITEM ſi fiat.
[55.] ALITER.
[56.] Ergo ſi fiat,
[57.] Si igitur fiat.
[58.] COROLLARIVM I.
[59.] COROLLARIVM II.
[60.] PROBLEMA III.
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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}
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            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.
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              ter.</note>
            gulum ſub A E, A F, quadrato tangentis A D, æquale erit,
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            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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