Clavius, Christoph, Geometria practica

Table of contents

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[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.
[91.] SCHOLIVM.
[92.] PROBLEMA XXII.
[93.] PROBLEMA XXIII.
[94.] ALITER.
[95.] ALITER.
[96.] PROBLEMA XXIV.
[97.] FINIS LIBRI SECVNDI.
[98.] GEOMETRIÆ PRACTICÆ LIBER TERTIVS.
[99.] QVADRATI GEOMETRICI CONSTRVCTIO.
[100.] PROBLEMA I.
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        <div xml:id="echoid-div75" type="section" level="1" n="27">
          <head xml:id="echoid-head30" xml:space="preserve">VII. ANGVLVM.</head>
          <p>
            <s xml:id="echoid-s1937" xml:space="preserve">Ex baſe, & </s>
            <s xml:id="echoid-s1938" xml:space="preserve">vno latere inquirere.</s>
            <s xml:id="echoid-s1939" xml:space="preserve"/>
          </p>
          <note style="it" position="right" xml:space="preserve">
            <lb/>
          Vt baſis # ad ſinum to- \\ tum # ita lat{us} da- \\ tum # ad ſinum anguli dato lateri oppo- \\ ſiti
            <lb/>
          </note>
          <note position="left" xml:space="preserve">3. Triang.
            <lb/>
          rectil.</note>
          <p>
            <s xml:id="echoid-s1940" xml:space="preserve">Complementum anguli inuenti dabit alterum angulum.</s>
            <s xml:id="echoid-s1941" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div76" type="section" level="1" n="28">
          <head xml:id="echoid-head31" xml:space="preserve">VIII. ANGVLVM.</head>
          <p>
            <s xml:id="echoid-s1942" xml:space="preserve">Ex vtro que latere reddere cognitum.</s>
            <s xml:id="echoid-s1943" xml:space="preserve"/>
          </p>
          <note style="it" position="right" xml:space="preserve">
            <lb/>
          Vt lat{us} alte- \\ rutrum # ad ſinum \\ totum: # ita alterum la- \\ t{us} datum # ad tangentem anguli huic al- \\ teri laterioppoſiti.
            <lb/>
          </note>
          <note position="left" xml:space="preserve">3. Triang.
            <lb/>
          rectil.</note>
          <p>
            <s xml:id="echoid-s1944" xml:space="preserve">Complementum anguli inuenti dabit alterum angulum.</s>
            <s xml:id="echoid-s1945" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div77" type="section" level="1" n="29">
          <head xml:id="echoid-head32" xml:space="preserve">TRIANGVLORVM RECTILINEO-
            <lb/>
          rum obliquangulorum Problemata.
            <lb/>
          IX. SEGMENTA LATERIS A
            <lb/>
          Perpendiculari facta.</head>
          <p>
            <s xml:id="echoid-s1946" xml:space="preserve">Ex datis tribus lateribus cognoſcere.</s>
            <s xml:id="echoid-s1947" xml:space="preserve"/>
          </p>
          <note style="it" position="right" xml:space="preserve">
            <lb/>
          Vt lat{us}, in quod \\ cadit perpen- \\ dicularis # ad ſummam alio- \\ rum duorum la- \\ terum # ita differentia \\ eorundẽ duo- \\ rum laterum # ad quartum quen- \\ dam numerum.
            <lb/>
          </note>
          <note position="left" xml:space="preserve">9. Triang.
            <lb/>
          rectil.</note>
          <p>
            <s xml:id="echoid-s1948" xml:space="preserve">Et ſi quidem quartus numerus inuentus minor fuerit latere, in quod cadit
              <lb/>
            perpendicularis, auferendus is erit exillo latere. </s>
            <s xml:id="echoid-s1949" xml:space="preserve">Semiſsis enim reliqui numeri
              <lb/>
            dabit minus ſegmentum, quod ex toto latere ſubductum relinquet ſegmentum
              <lb/>
            maius.</s>
            <s xml:id="echoid-s1950" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s1951" xml:space="preserve">Si verò quartus numerus inuentus maior fuerit latere, in quod cadit perpen-
              <lb/>
            dicularis, auferendum erit hoc latus ex illo numero. </s>
            <s xml:id="echoid-s1952" xml:space="preserve">Semiſsis enim reliqui nu-
              <lb/>
            meri dabit ſegmentum minus, exterius videlicet inter perpendicularem, & </s>
            <s xml:id="echoid-s1953" xml:space="preserve">an-
              <lb/>
            gulum obtuſum: </s>
            <s xml:id="echoid-s1954" xml:space="preserve">quod additum eidem lateri conflabit aliud ſegmentum maius
              <lb/>
            inter perpendicularem, & </s>
            <s xml:id="echoid-s1955" xml:space="preserve">angulum acutum.</s>
            <s xml:id="echoid-s1956" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div78" type="section" level="1" n="30">
          <head xml:id="echoid-head33" xml:space="preserve">X. LATERA DVO.</head>
          <p>
            <s xml:id="echoid-s1957" xml:space="preserve">Ex tertio latere, & </s>
            <s xml:id="echoid-s1958" xml:space="preserve">duobus quibuſuis angulis, ac proinde omnibus tribus,
              <lb/>
            cumtertius ſit aliorum complementum ad ſemicirculum, hoc eſt, ad grad. </s>
            <s xml:id="echoid-s1959" xml:space="preserve">180.
              <lb/>
            </s>
            <s xml:id="echoid-s1960" xml:space="preserve">inuenire.</s>
            <s xml:id="echoid-s1961" xml:space="preserve"/>
          </p>
          <note style="it" position="right" xml:space="preserve">
            <lb/>
          1. Vt ſin{us} an- \\ guli dato la- \\ teri oppoſiti # ad lat{us} da- \\ tuns
            <unsure/>
          : # ita ſin{us} alteru- \\ tri{us} reliquorũ \\ angulorum # ad lat{us} huic langulo \\ oppoſitum.
            <lb/>
          </note>
          <note position="left" xml:space="preserve">10. Triang.
            <lb/>
          rectil.</note>
        </div>
        <div xml:id="echoid-div79" type="section" level="1" n="31">
          <head xml:id="echoid-head34" xml:space="preserve">Rurſus</head>
          <note style="it" position="right" xml:space="preserve">
            <lb/>
          Vt ſin{us} anguli dato \\ laterioppoſiti # ad lat{us} da- \\ tum: # ita ſin{us} tertii \\ anguli # ad lat{us} huic tertio an- \\ gulo oppoſitum.
            <lb/>
          </note>
          <note position="left" xml:space="preserve">1. Triang.
            <lb/>
          rectil.</note>
          <p>
            <s xml:id="echoid-s1962" xml:space="preserve">2. </s>
            <s xml:id="echoid-s1963" xml:space="preserve">
              <emph style="sc">In</emph>
            Iſoſcele vnius tantum lateris inuentione opus eſt, cum vnum </s>
          </p>
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