Clavius, Christoph, In Sphaeram Ioannis de Sacro Bosco commentarius

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            <s xml:id="echoid-s8200" xml:space="preserve">
              <pb o="202" file="238" n="239" rhead="Comment. in I. Cap. Sphæræ"/>
            gulo A D G, arcus A G, circa errorem pro recta linea accipi poteſt, cum ſit in-
              <lb/>
              <figure xlink:label="fig-238-01" xlink:href="fig-238-01a" number="69">
                <image file="238-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/238-01"/>
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            ſenſibilis magnitudinis, ſi cum toto
              <lb/>
            ambitu conferatur, eſtq́. </s>
            <s xml:id="echoid-s8201" xml:space="preserve">angulus A,
              <lb/>
            rectus, & </s>
            <s xml:id="echoid-s8202" xml:space="preserve">duo latera A D, A G, co-
              <lb/>
            gnita; </s>
            <s xml:id="echoid-s8203" xml:space="preserve">A D, quidem per hypothe-
              <lb/>
            ſin, cum ſit gnomon ad libitum aſ-
              <lb/>
            ſumptus; </s>
            <s xml:id="echoid-s8204" xml:space="preserve">A G, uero per aliquam
              <lb/>
            menſuram; </s>
            <s xml:id="echoid-s8205" xml:space="preserve">uel certe ex ijs, quæ à
              <lb/>
            nobis demonſtrata ſunt lib. </s>
            <s xml:id="echoid-s8206" xml:space="preserve">5. </s>
            <s xml:id="echoid-s8207" xml:space="preserve">no-
              <lb/>
            ſtrę Gnomonices propos. </s>
            <s xml:id="echoid-s8208" xml:space="preserve">1. </s>
            <s xml:id="echoid-s8209" xml:space="preserve">ubi oſtẽ
              <lb/>
            dimus, quanam ratione proportio
              <lb/>
            ſtyli ad ſuam vmbram rectã cogno-
              <lb/>
            ſcatur ex altitudine Solis cognita:
              <lb/>
            </s>
            <s xml:id="echoid-s8210" xml:space="preserve">Cognoſcetur quoque per doctrinã
              <lb/>
            triangulorum, (vt in noſtri@ trian-
              <lb/>
              <note position="left" xlink:label="note-238-01" xlink:href="note-238-01a" xml:space="preserve">47. primi.</note>
            gulis demonſtrauimus) angulus
              <lb/>
            ADG. </s>
            <s xml:id="echoid-s8211" xml:space="preserve">Quoniam enim latera A D,
              <lb/>
            AG, nota ſunt erunt quoque eorũ
              <lb/>
            quad rata nota; </s>
            <s xml:id="echoid-s8212" xml:space="preserve">quæ cum æqualia ſint quadrato ex D G, notum quoque erit
              <lb/>
            quadratum rectæ D G, atque adeo & </s>
            <s xml:id="echoid-s8213" xml:space="preserve">recta D G, cognita erit. </s>
            <s xml:id="echoid-s8214" xml:space="preserve">Quia uero ſi
              <lb/>
            D G, ſtatuatur ſinus totus, recta A G, ſinus eſt anguli A D G, ut in tractatio-
              <lb/>
            ne ſinuum demonſtrauimus; </s>
            <s xml:id="echoid-s8215" xml:space="preserve">ſi fiat, ut D G, quatenus cognita hactenus eſt, ad
              <lb/>
            ſinum totum, ita A G, quatenus nota eſt in partibus vmbræ, ad aliud cognita
              <lb/>
            fiet A G, quatenus ſinus eſt anguli A D G; </s>
            <s xml:id="echoid-s8216" xml:space="preserve">ideoque ex tabula ſinuum angu-
              <lb/>
            lus A D G, notus erit; </s>
            <s xml:id="echoid-s8217" xml:space="preserve">ac proinde & </s>
            <s xml:id="echoid-s8218" xml:space="preserve">angulus alternus A C B, qui illi æqualis
              <lb/>
            eſt? </s>
            <s xml:id="echoid-s8219" xml:space="preserve">propterea quòd radii EBC, EDC, pene paralleli ſint, ob nimiam paruita-
              <lb/>
              <note position="left" xlink:label="note-238-02" xlink:href="note-238-02a" xml:space="preserve">29. primi.</note>
            tem diſtantiæ Syenes ab Alexandria, ſi cum Sole comparetur: </s>
            <s xml:id="echoid-s8220" xml:space="preserve">Quare & </s>
            <s xml:id="echoid-s8221" xml:space="preserve">arcus
              <lb/>
            A B, angulo C, ſubtenſus notus erit, nempe ſpatium interceptum inter Alexã
              <lb/>
            driam, & </s>
            <s xml:id="echoid-s8222" xml:space="preserve">Syenen. </s>
            <s xml:id="echoid-s8223" xml:space="preserve">Hæc autem ratio Eratoſthenis paulo aliter à Cleomede re-
              <lb/>
            fertur, quàm à Maurolyco. </s>
            <s xml:id="echoid-s8224" xml:space="preserve">Hac ratione deprehendit Eratoſthenes, (ſi uera
              <lb/>
            retulit auctor de ambitu terræ ex ſententia Eratoſthenis) arcum AB, eſſe grad.
              <lb/>
            </s>
            <s xml:id="echoid-s8225" xml:space="preserve">8 {5/6}. </s>
            <s xml:id="echoid-s8226" xml:space="preserve">ſpatiumque itineris comprehendere ſtadia 6183 {1/3}. </s>
            <s xml:id="echoid-s8227" xml:space="preserve">Quare per regulam
              <lb/>
            proportionum collegit, gradibus 360. </s>
            <s xml:id="echoid-s8228" xml:space="preserve">nimirum toti ambitui
              <unsure/>
            terræ, deberi ſta-
              <lb/>
            dia 252000.</s>
            <s xml:id="echoid-s8229" xml:space="preserve"/>
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          <p>
            <s xml:id="echoid-s8230" xml:space="preserve">
              <emph style="sc">Franciscvs</emph>
            Maurolycus Abbas hanc rationem indagandi ambitus
              <lb/>
            terreni excogitauit. </s>
            <s xml:id="echoid-s8231" xml:space="preserve">Sit terræ circuitus B C D, in quo eligatur editiſſimus
              <lb/>
            aliquis mons, (ipſe in Sicilia montem Aetnam ad hoc negotium eligendum
              <lb/>
            cenſuit) cuius altitudo AB, per præcepta menſurandarum altitudinũ nota red
              <lb/>
            datur. </s>
            <s xml:id="echoid-s8232" xml:space="preserve">Deinde ex A, uertice montis per pręcepta metiendarum longitudinum
              <lb/>
            menſurandũ erit totũ illud ſpatiũ pelagi, ſeu terrę, (ubi tamen mõtes nõ ſint)
              <lb/>
            quod inde conſpicitur, ita ut radius uiſualis AC, terrę ſuperficiem contingat
              <lb/>
            in puncto C. </s>
            <s xml:id="echoid-s8233" xml:space="preserve">Sitigitur ſpatiũ uiſum BC, quod etiãſi curuũ ſit, nõ autẽ planũ,
              <lb/>
            a plano tamen ſenſibili differentia non diſcrepat, propterea, quòd arcus BC,
              <lb/>
            admodum exiguus eſt, ſi cum toto ambitu terrę comparetur. </s>
            <s xml:id="echoid-s8234" xml:space="preserve">Quibus rite pera-
              <lb/>
            ctis, ita Geometricã inſtituemus ratiocinationem. </s>
            <s xml:id="echoid-s8235" xml:space="preserve">Intelligo quatuor recta
              <unsure/>
            s li-
              <lb/>
            neas, quarum prima eſt AB, ipſa montis aſſumpti celſitudo; </s>
            <s xml:id="echoid-s8236" xml:space="preserve">Secunda radius vi-
              <lb/>
            ſualis AC; </s>
            <s xml:id="echoid-s8237" xml:space="preserve">Tertia AD, quę conſtat ex celſitudi
              <unsure/>
            ne montis, terręque diametro;
              <lb/>
            </s>
            <s xml:id="echoid-s8238" xml:space="preserve">Quarta deniq; </s>
            <s xml:id="echoid-s8239" xml:space="preserve">BC, interuallũ conſpectũ, poterit enim citra errorem pro </s>
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