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

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          <p style="it">
            <s xml:id="echoid-s12584" xml:space="preserve">
              <pb o="374" file="386" n="386" rhead=""/>
            _C,_ æqualis. </s>
            <s xml:id="echoid-s12585" xml:space="preserve">Itaq; </s>
            <s xml:id="echoid-s12586" xml:space="preserve">duo triangula _ADB, ADC,_ angulum rectum _D,_ habent commu-
              <lb/>
            nem, & </s>
            <s xml:id="echoid-s12587" xml:space="preserve">duos angulos _ABD,_ & </s>
            <s xml:id="echoid-s12588" xml:space="preserve">_C,_ æquales, & </s>
            <s xml:id="echoid-s12589" xml:space="preserve">non rectos: </s>
            <s xml:id="echoid-s12590" xml:space="preserve">(alias latera _AB, AC,_
              <lb/>
              <note position="left" xlink:label="note-386-01" xlink:href="note-386-01a" xml:space="preserve">9. huius.</note>
            æqualia eſſent, propter angulos _B, C,_ rectos, & </s>
            <s xml:id="echoid-s12591" xml:space="preserve">æquales:) </s>
            <s xml:id="echoid-s12592" xml:space="preserve">nec non latus _AD,_ æqua-
              <lb/>
              <figure xlink:label="fig-386-01" xlink:href="fig-386-01a" number="222">
                <image file="386-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/YC97H42F/figures/386-01"/>
              </figure>
            les angulos non rectos ſubtendens, commune: </s>
            <s xml:id="echoid-s12593" xml:space="preserve">Et tamen
              <lb/>
            nec reliqua latera _AB, BD,_ reliquis lateribus _AC,_
              <lb/>
            _CD,_ æqualia ſunt, vtrumque vtrique, nec reliquus an
              <lb/>
            gulus _BAD,_ reliquo angulo _CAD,_ vt perſpicuum eſt.
              <lb/>
            </s>
            <s xml:id="echoid-s12594" xml:space="preserve">Hoc autem indeprouenit, quòd latera æqualia non ſub-
              <lb/>
            tendunt rectos angulos, ſed latus commune _AD,_ angu-
              <lb/>
            los æquales non rectos ſubtendit.</s>
            <s xml:id="echoid-s12595" xml:space="preserve"/>
          </p>
          <note position="left" xml:space="preserve">Error Nico
            <lb/>
          lai Coper-
            <lb/>
          nici.</note>
          <p>
            <s xml:id="echoid-s12596" xml:space="preserve">_QVAMOBREM decipitur Nicolaus Copernicus_
              <lb/>
            _lib. </s>
            <s xml:id="echoid-s12597" xml:space="preserve">I. </s>
            <s xml:id="echoid-s12598" xml:space="preserve">Reuolutionum propoſ. </s>
            <s xml:id="echoid-s12599" xml:space="preserve">6. </s>
            <s xml:id="echoid-s12600" xml:space="preserve">triãgulorũ ſphæricorum,_
              <lb/>
            _vbi dicit._ </s>
            <s xml:id="echoid-s12601" xml:space="preserve">[Si bina triangula rectum angulum, ac in-
              <lb/>
            fuper alium ęqualem habuerint, alterum alteri, vnumq; </s>
            <s xml:id="echoid-s12602" xml:space="preserve">latus vni lateri æqua-
              <lb/>
            le, quod alterutri ęqualiũ angulorum (etiã non recto, vt in demonſtratione di
              <lb/>
            cit) opponitur; </s>
            <s xml:id="echoid-s12603" xml:space="preserve">reliqua quoque latera reliquis lateribus, alterũ alteri, acan-
              <lb/>
            gulum angulo, reliquũ reliquo æqualem habebunt.</s>
            <s xml:id="echoid-s12604" xml:space="preserve">] _Oppoſitum enim apparuit_
              <lb/>
            _in triangulis rectangulis_ ADB, ADC, _in quibus latus commune_ AD, _opponitur_
              <lb/>
            _angulis æqualibus_ ABD, ACD, _non rectis._</s>
            <s xml:id="echoid-s12605" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s12606" xml:space="preserve">_Vnde verum non ſemper eſt, quod idem Copernicus docet ibidem propoſ. </s>
            <s xml:id="echoid-s12607" xml:space="preserve">4. </s>
            <s xml:id="echoid-s12608" xml:space="preserve">vbi ait._
              <lb/>
            </s>
            <s xml:id="echoid-s12609" xml:space="preserve">
              <note position="left" xlink:label="note-386-03" xlink:href="note-386-03a" xml:space="preserve">Alius error
                <lb/>
              Nicolai co
                <lb/>
              pernici.</note>
            [In quocunq; </s>
            <s xml:id="echoid-s12610" xml:space="preserve">triãgulo rectum angulum habente, alius inſuper angulus fuerit
              <lb/>
            datus, cum quolibet latere, reliquus etiam angulus cum reliquis lateribus da-
              <lb/>
            bitur.</s>
            <s xml:id="echoid-s12611" xml:space="preserve">] _Quamuis enim angulus rectus_ D, _& </s>
            <s xml:id="echoid-s12612" xml:space="preserve">angulus_ ABD, _noti ſint, cum latere_ AD,
              <lb/>
            _quod angulo noto_ ABD, _non recto opponitur, non tamen proptereain cognitionem
              <lb/>
            reliqui anguli, & </s>
            <s xml:id="echoid-s12613" xml:space="preserve">reliquorum laterum veniemus, cum reliqua latera poſsint eſſe vel
              <lb/>
            AB, BD, _vel_ AC, CD, & </s>
            <s xml:id="echoid-s12614" xml:space="preserve">_reliquus angulus vel_ BAD, _vel_ CAD, _vt perſpicuum_
              <lb/>
            _eſt. </s>
            <s xml:id="echoid-s12615" xml:space="preserve">Oportebit ergo aliquid aliud præterea constare, antequam reliquus angulus cum_
              <lb/>
            _reliquis lateribus colligatur, vtin ſcholio propoſ. </s>
            <s xml:id="echoid-s12616" xml:space="preserve">45. </s>
            <s xml:id="echoid-s12617" xml:space="preserve">docebimus._</s>
            <s xml:id="echoid-s12618" xml:space="preserve"/>
          </p>
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        <div xml:id="echoid-div995" type="section" level="1" n="510">
          <head xml:id="echoid-head545" xml:space="preserve">THEOR. 20. PROPOS. 22.</head>
          <p>
            <s xml:id="echoid-s12619" xml:space="preserve">SI fuerint duo triangula ſphærica, quæ duos
              <lb/>
            angulos habeant duobus angulis æquales, vtrum-
              <lb/>
            que vtrique, vnumq; </s>
            <s xml:id="echoid-s12620" xml:space="preserve">latus vni lateri æquale, quod
              <lb/>
            vni æqualium angulorum ſubtenditur, duo verò
              <lb/>
            latera ſubtendẽtia reliquos angulos æquales ęqua-
              <lb/>
            lia non ſint ſemicirculo, ſed vel maiora, vel mino-
              <lb/>
            ra: </s>
            <s xml:id="echoid-s12621" xml:space="preserve">Erunt & </s>
            <s xml:id="echoid-s12622" xml:space="preserve">duo reliqua latera duobus reliquis la-
              <lb/>
            teribus æqualia, vtrum que vtrique, & </s>
            <s xml:id="echoid-s12623" xml:space="preserve">reliquus an-
              <lb/>
            gulus reliquo angulo æqualis erit.</s>
            <s xml:id="echoid-s12624" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s12625" xml:space="preserve">HABEANT duo triangula ſphærica ABC, DEF, duos angulos </s>
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