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

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          <p>
            <s xml:id="echoid-s16932" xml:space="preserve">
              <pb o="472" file="484" n="484" rhead=""/>
            rectanguli, vnà cum arcu ipſis adiacente; </s>
            <s xml:id="echoid-s16933" xml:space="preserve">reliquos
              <lb/>
            arcus, cum reliquo angulo ſcrutari.</s>
            <s xml:id="echoid-s16934" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s16935" xml:space="preserve">IN triangulo ſphærico ABC, non rectangulo dati ſint duo anguli B, & </s>
            <s xml:id="echoid-s16936" xml:space="preserve">
              <lb/>
              <note position="left" xlink:label="note-484-01" xlink:href="note-484-01a" xml:space="preserve">Quãdo duo
                <lb/>
              anguli dati
                <lb/>
              sũt inæqua
                <lb/>
              les, & arcus
                <lb/>
              adiacẽs da-
                <lb/>
              tus maior,
                <lb/>
              aut minor
                <lb/>
              quadrante.</note>
            BAC, cum arcu adiacente AB. </s>
            <s xml:id="echoid-s16937" xml:space="preserve">Oportet ex his reliquos arcus AC, BC, cum
              <lb/>
            reliquo angulo C, ſcrutari. </s>
            <s xml:id="echoid-s16938" xml:space="preserve">Sit prim um datus arcus AB, non quadrans, ſed
              <lb/>
            vel maior, vel minor quadrante, & </s>
            <s xml:id="echoid-s16939" xml:space="preserve">dati anguli B, BAC, inæquales, à quorum
              <lb/>
            vno, nempe à BAC, ad arcum oppoſitum BC, arcus perpendicularis demit-
              <lb/>
            tatur AD: </s>
            <s xml:id="echoid-s16940" xml:space="preserve">qui an intra triangulum, an ve-
              <lb/>
            ro extra cadat, calculus, atque operatio in-
              <lb/>
              <figure xlink:label="fig-484-01" xlink:href="fig-484-01a" number="349">
                <image file="484-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/YC97H42F/figures/484-01"/>
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            dicabit. </s>
            <s xml:id="echoid-s16941" xml:space="preserve">Nam cum in triangulo ABD, rectũ
              <lb/>
            habente angulum D, datus ſit arcus AB, an-
              <lb/>
            gulo recto oppoſitus, & </s>
            <s xml:id="echoid-s16942" xml:space="preserve">angulus B; </s>
            <s xml:id="echoid-s16943" xml:space="preserve">dabitur
              <lb/>
            etiam angulus BAD: </s>
            <s xml:id="echoid-s16944" xml:space="preserve">qui ſi minor repertus
              <lb/>
              <note position="left" xlink:label="note-484-02" xlink:href="note-484-02a" xml:space="preserve">Schol. 47.
                <lb/>
              huius.</note>
            fuerit dato angulo BAC, cadet arcus AD,
              <lb/>
            intra triangulum; </s>
            <s xml:id="echoid-s16945" xml:space="preserve">extra vero, ſi maior. </s>
            <s xml:id="echoid-s16946" xml:space="preserve">Iam
              <lb/>
            ablato angulo BAD, inuento, ſi minor eſt
              <lb/>
            dato angulo BAC, ex angulo BAC; </s>
            <s xml:id="echoid-s16947" xml:space="preserve">vel ſi
              <lb/>
            maior eſt, ſubducto angulo dato BAC, ex
              <lb/>
            inuento angulo BAD, notus euadet reliquus
              <lb/>
            angulus CAD.</s>
            <s xml:id="echoid-s16948" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s16949" xml:space="preserve">NVNQVAM vero inuentus angulus BAD, eſſe poteſt rectus: </s>
            <s xml:id="echoid-s16950" xml:space="preserve">quia
              <lb/>
            duo arcus AB, BD, eſſent quadrantes, ob angulos rectos BAD, ADB; </s>
            <s xml:id="echoid-s16951" xml:space="preserve">cum
              <lb/>
              <note position="left" xlink:label="note-484-03" xlink:href="note-484-03a" xml:space="preserve">25. huius.</note>
            tamen AB, ponatur eſſe nõ quadrans: </s>
            <s xml:id="echoid-s16952" xml:space="preserve">ſed CAD, poterit aliquando eſſe rectus.</s>
            <s xml:id="echoid-s16953" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s16954" xml:space="preserve">RVRSVS, quia in eodem triangulo ABD, rectum habente angulum
              <lb/>
              <note position="left" xlink:label="note-484-04" xlink:href="note-484-04a" xml:space="preserve">Schol. 41.
                <lb/>
              huius.</note>
            D, datus eſt arcus AB, angulo recto oppoſitus, & </s>
            <s xml:id="echoid-s16955" xml:space="preserve">angulus non rectus B:
              <lb/>
            </s>
            <s xml:id="echoid-s16956" xml:space="preserve">VEL, quia notus eſt vterque angulus non rectus
              <lb/>
              <note position="left" xlink:label="note-484-05" xlink:href="note-484-05a" xml:space="preserve">Schol. 52.
                <lb/>
              vel 42. huiꝰ.</note>
            B, & </s>
            <s xml:id="echoid-s16957" xml:space="preserve">BAD:
              <lb/>
            </s>
            <s xml:id="echoid-s16958" xml:space="preserve">AVT denique, quoniam datus eſt arcus AB, recto
              <lb/>
              <note position="left" xlink:label="note-484-06" xlink:href="note-484-06a" xml:space="preserve">School. 45.
                <lb/>
              huius.</note>
            angulo oppoſitus, vna cum angulo non recto BAD;
              <lb/>
            </s>
            <s xml:id="echoid-s16959" xml:space="preserve">cognoſcetur quoque, per ſcholia adducta in margine, arcus AD. </s>
            <s xml:id="echoid-s16960" xml:space="preserve">Eodemq́ue
              <lb/>
              <note position="left" xlink:label="note-484-07" xlink:href="note-484-07a" xml:space="preserve">Schol. 41.
                <lb/>
              huius.</note>
            pacto, quia in eodem triangulo BAD, cuius angulus D, rectus, datus eſt ar-
              <lb/>
            cus AB, recto angulo oppoſitus, vna cum angulo BAD:
              <lb/>
            </s>
            <s xml:id="echoid-s16961" xml:space="preserve">VEL, quia cognitus eſt vterque angulus non re-
              <lb/>
              <note position="left" xlink:label="note-484-08" xlink:href="note-484-08a" xml:space="preserve">Schol. 52.
                <lb/>
              vel 42. huiꝰ.</note>
            ctus B, & </s>
            <s xml:id="echoid-s16962" xml:space="preserve">BAD:
              <lb/>
            </s>
            <s xml:id="echoid-s16963" xml:space="preserve">VEL, quoniam notus eſt arcus AB, angulo recto
              <lb/>
              <note position="left" xlink:label="note-484-09" xlink:href="note-484-09a" xml:space="preserve">Schol. 45.
                <lb/>
              huius.</note>
            oppoſitus, vna cum angulo non recto B:
              <lb/>
            </s>
            <s xml:id="echoid-s16964" xml:space="preserve">AVT, quia datus eſt arcus AB, angulo recto oppo
              <lb/>
              <note position="left" xlink:label="note-484-10" xlink:href="note-484-10a" xml:space="preserve">Schol. 53.
                <lb/>
              ve 43. huiꝰ.</note>
            ſitus, & </s>
            <s xml:id="echoid-s16965" xml:space="preserve">præterea arcus AD, circa rectum angulum:
              <lb/>
            </s>
            <s xml:id="echoid-s16966" xml:space="preserve">VEL, quoniam notus eſt arcus AD, circa angu-
              <lb/>
              <note position="left" xlink:label="note-484-11" xlink:href="note-484-11a" xml:space="preserve">Schol. 49.
                <lb/>
              vel 44. huiꝰ.</note>
            lum rectum, vna cum angulo non recto B, ei oppoſito;
              <lb/>
            </s>
            <s xml:id="echoid-s16967" xml:space="preserve">conſtatq́; </s>
            <s xml:id="echoid-s16968" xml:space="preserve">præterea, an alter arcus BD, circa rectum
              <lb/>
            angulum ſit maior, minorue quadrante. </s>
            <s xml:id="echoid-s16969" xml:space="preserve">Nam ſi inuen
              <lb/>
            tus angulus BAD, eſt acutus, erit arcus BD, quadran
              <lb/>
            te minor; </s>
            <s xml:id="echoid-s16970" xml:space="preserve">maior autem, ſi obtuſus: </s>
            <s xml:id="echoid-s16971" xml:space="preserve">
              <lb/>
            VEL denique, quoniam notus eſt arcus AD, circa
              <lb/>
              <note position="left" xlink:label="note-484-12" xlink:href="note-484-12a" xml:space="preserve">Schol. 44.
                <lb/>
              huius.</note>
            rectum angum, & </s>
            <s xml:id="echoid-s16972" xml:space="preserve">præterea angulus non rectus BAD,
              <lb/>
            ci adiacens;</s>
            <s xml:id="echoid-s16973" xml:space="preserve"/>
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