Theodosius <Bithynius>; Clavius, Christoph, Theodosii Tripolitae Sphaericorum libri tres

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          <p style="it">
            <s xml:id="echoid-s10338" xml:space="preserve">
              <pb o="324" file="336" n="336" rhead=""/>
            quadratorum ex reliquis duobus lateribus deſcriptorum, diuidatur per
              <lb/>
            latus, in quod productum perpendicularis cadit, procreabitur linea ex-
              <lb/>
            tra triangulum inter perpendicularem, & </s>
            <s xml:id="echoid-s10339" xml:space="preserve">angulum obtuſum: </s>
            <s xml:id="echoid-s10340" xml:space="preserve">Hæc vero
              <lb/>
            addita baſi conſtituet alteram rectam inter perpendicularem, & </s>
            <s xml:id="echoid-s10341" xml:space="preserve">angu-
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            lum acutum baſis.</s>
            <s xml:id="echoid-s10342" xml:space="preserve"/>
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        <div xml:id="echoid-div862" type="section" level="1" n="467">
          <head xml:id="echoid-head499" xml:space="preserve">PROBL. 6. PROPOS. 10.</head>
          <p>
            <s xml:id="echoid-s10343" xml:space="preserve">DATIS omnibus angulis trianguli non re-
              <lb/>
              <note position="left" xlink:label="note-336-01" xlink:href="note-336-01a" xml:space="preserve">In triang@
                <lb/>
              lo non re-
                <lb/>
              @tãgulo ex
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              angulis no
                <lb/>
              tis, vel ex
                <lb/>
              proportio-
                <lb/>
              nibꝰ angu
                <lb/>
              lorum no-
                <lb/>
              tis, vna cũ
                <lb/>
              vno latere,
                <lb/>
              reliqua in
                <lb/>
              @eſtigãtur.</note>
            ctanguli, vel datis eorum proportionibus, vna cũ
              <lb/>
            vno latere; </s>
            <s xml:id="echoid-s10344" xml:space="preserve">reliqua duo latera cognoſcere, & </s>
            <s xml:id="echoid-s10345" xml:space="preserve">quo-
              <lb/>
            rumlibet duorum proportionem facere notam.</s>
            <s xml:id="echoid-s10346" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s10347" xml:space="preserve">IN triangulo ABC, ſint primum omnes anguli acuti, & </s>
            <s xml:id="echoid-s10348" xml:space="preserve">dati; </s>
            <s xml:id="echoid-s10349" xml:space="preserve">A, grad.
              <lb/>
            </s>
            <s xml:id="echoid-s10350" xml:space="preserve">75. </s>
            <s xml:id="echoid-s10351" xml:space="preserve">Min. </s>
            <s xml:id="echoid-s10352" xml:space="preserve">45. </s>
            <s xml:id="echoid-s10353" xml:space="preserve">B, grad. </s>
            <s xml:id="echoid-s10354" xml:space="preserve">67. </s>
            <s xml:id="echoid-s10355" xml:space="preserve">Min. </s>
            <s xml:id="echoid-s10356" xml:space="preserve">23. </s>
            <s xml:id="echoid-s10357" xml:space="preserve">C, grad. </s>
            <s xml:id="echoid-s10358" xml:space="preserve">36. </s>
            <s xml:id="echoid-s10359" xml:space="preserve">Min. </s>
            <s xml:id="echoid-s10360" xml:space="preserve">52. </s>
            <s xml:id="echoid-s10361" xml:space="preserve">Datum quoq; </s>
            <s xml:id="echoid-s10362" xml:space="preserve">ſit la-
              <lb/>
              <figure xlink:label="fig-336-01" xlink:href="fig-336-01a" number="181">
                <image file="336-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/YC97H42F/figures/336-01"/>
              </figure>
            tus AB, 13. </s>
            <s xml:id="echoid-s10363" xml:space="preserve">Oportet ex his
              <lb/>
            reliqua duo latera inueni-
              <lb/>
            re. </s>
            <s xml:id="echoid-s10364" xml:space="preserve">Quoniam eſt, vt ſinus
              <lb/>
              <note position="left" xlink:label="note-336-02" xlink:href="note-336-02a" xml:space="preserve">1. huius.</note>
            anguli C, ad ſinum anguli
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            A, ita latus AB, datum ad
              <lb/>
            latus BC: </s>
            <s xml:id="echoid-s10365" xml:space="preserve">ſi fiat, vt ſinus
              <lb/>
            anguli C, nempe 59996. </s>
            <s xml:id="echoid-s10366" xml:space="preserve">ad
              <lb/>
            96923. </s>
            <s xml:id="echoid-s10367" xml:space="preserve">ſinum anguli A, ita
              <lb/>
            latus AB, datũ 13. </s>
            <s xml:id="echoid-s10368" xml:space="preserve">ad aliud,
              <lb/>
            inuenietur latus BC, 21.
              <lb/>
            </s>
            <s xml:id="echoid-s10369" xml:space="preserve">ferè, vt hic apparet.</s>
            <s xml:id="echoid-s10370" xml:space="preserve"/>
          </p>
          <note position="right" xml:space="preserve">
            <lb/>
          C. # A. # AB. # # BC.
            <lb/>
          59996. # 96923. # 13? # fit # 21. # ferè.
            <lb/>
          </note>
          <p>
            <s xml:id="echoid-s10371" xml:space="preserve">Item quia eſt, vt ſinus anguli C, ad ſinum anguli B, ita latus AB, datum
              <lb/>
            ad latus AC: </s>
            <s xml:id="echoid-s10372" xml:space="preserve">ſi fiat, vt 59996. </s>
            <s xml:id="echoid-s10373" xml:space="preserve">ſinus anguli C, ad 92310. </s>
            <s xml:id="echoid-s10374" xml:space="preserve">ſinum anguli B, ita
              <lb/>
            latus AB, datum 13. </s>
            <s xml:id="echoid-s10375" xml:space="preserve">ad aliud, inuenietur latus AC, fere 20. </s>
            <s xml:id="echoid-s10376" xml:space="preserve">vt hic vides.</s>
            <s xml:id="echoid-s10377" xml:space="preserve"/>
          </p>
          <note position="right" xml:space="preserve">
            <lb/>
          C. # A. # AB. # # BC.
            <lb/>
          59996. # 92310. # 13? # fit # 20. # ferè.
            <lb/>
          </note>
          <p>
            <s xml:id="echoid-s10378" xml:space="preserve">Velquia eſt, vt ſinus anguli A, ad ſinum anguli B, ita latus BC, inuentum
              <lb/>
              <note position="left" xlink:label="note-336-05" xlink:href="note-336-05a" xml:space="preserve">1. huius.</note>
            ad latus AC: </s>
            <s xml:id="echoid-s10379" xml:space="preserve">ſi fiat, vt 96923. </s>
            <s xml:id="echoid-s10380" xml:space="preserve">ſinus anguli A, ad 92310. </s>
            <s xml:id="echoid-s10381" xml:space="preserve">ſinum anguli B, ita
              <lb/>
            latus BC, inuentum 21. </s>
            <s xml:id="echoid-s10382" xml:space="preserve">ad aliud, reperietur latus AC, fere 20. </s>
            <s xml:id="echoid-s10383" xml:space="preserve">vt nic cernis.</s>
            <s xml:id="echoid-s10384" xml:space="preserve"/>
          </p>
          <note position="right" xml:space="preserve">
            <lb/>
          A. # B. # BC. # # AC.
            <lb/>
          96923. # 92310. # 21? # fit # 20. # ferè.
            <lb/>
          </note>
          <p>
            <s xml:id="echoid-s10385" xml:space="preserve">SIT deinde angulus B, obtuſus grad. </s>
            <s xml:id="echoid-s10386" xml:space="preserve">112. </s>
            <s xml:id="echoid-s10387" xml:space="preserve">Min. </s>
            <s xml:id="echoid-s10388" xml:space="preserve">37. </s>
            <s xml:id="echoid-s10389" xml:space="preserve">A, grad. </s>
            <s xml:id="echoid-s10390" xml:space="preserve">30. </s>
            <s xml:id="echoid-s10391" xml:space="preserve">Min. </s>
            <s xml:id="echoid-s10392" xml:space="preserve">31.
              <lb/>
            </s>
            <s xml:id="echoid-s10393" xml:space="preserve">C, grad. </s>
            <s xml:id="echoid-s10394" xml:space="preserve">36. </s>
            <s xml:id="echoid-s10395" xml:space="preserve">Min 52. </s>
            <s xml:id="echoid-s10396" xml:space="preserve">& </s>
            <s xml:id="echoid-s10397" xml:space="preserve">rurſum latus AB, 13. </s>
            <s xml:id="echoid-s10398" xml:space="preserve">Quoniam idem eſt ſinus anguli
              <lb/>
            B, qui eius complementigrad. </s>
            <s xml:id="echoid-s10399" xml:space="preserve">67. </s>
            <s xml:id="echoid-s10400" xml:space="preserve">Min. </s>
            <s xml:id="echoid-s10401" xml:space="preserve">23. </s>
            <s xml:id="echoid-s10402" xml:space="preserve">vt in tractatione ſinuum demou-
              <lb/>
            ſtrauimus, inuenietur ratione iam expoſita latus BC, 11. </s>
            <s xml:id="echoid-s10403" xml:space="preserve">& </s>
            <s xml:id="echoid-s10404" xml:space="preserve">AC, 20. </s>
            <s xml:id="echoid-s10405" xml:space="preserve">fermè. </s>
            <s xml:id="echoid-s10406" xml:space="preserve">
              <lb/>
            vt hic liquido conſtat.</s>
            <s xml:id="echoid-s10407" xml:space="preserve"/>
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