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

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          <p>
            <s xml:id="echoid-s11728" xml:space="preserve">
              <pb o="354" file="366" n="366" rhead=""/>
            per intelligatur. </s>
            <s xml:id="echoid-s11729" xml:space="preserve">Huiuſmodi diuiſiones ſexcentas adducere poſſem: </s>
            <s xml:id="echoid-s11730" xml:space="preserve">ſed ſa-
              <lb/>
            tis eſt, me prudenti lectori inſtitutum meum in diuiſione Proportionis ex-
              <lb/>
            poſuiſſe, & </s>
            <s xml:id="echoid-s11731" xml:space="preserve">cur duplicem illam diuiſionem ſubdiuiſioni aliorum prætule-
              <lb/>
            rim. </s>
            <s xml:id="echoid-s11732" xml:space="preserve">Quòd ſi tam acres, & </s>
            <s xml:id="echoid-s11733" xml:space="preserve">ſeueri iudices ſingulorum verborum aut impro-
              <lb/>
            prietatum, quæ per incogitantiam interdum excidunt, eſſe velimus, næ
              <lb/>
            ſcriptorum nullus aliquo vitio carebit, neque ipſe quidem Peletarius, vt
              <lb/>
            partim ex ijs, quæ dicta ſunt, conſtat, partim etiam ex alijs eius demonſtra-
              <lb/>
            tionibus apparere poteſt: </s>
            <s xml:id="echoid-s11734" xml:space="preserve">quas ſi liberet ad certam illam Dialecticorum
              <lb/>
            normam exquirere, profecto reprehendendi materia non deeſſet. </s>
            <s xml:id="echoid-s11735" xml:space="preserve">Verum
              <lb/>
            non eſt hoc noſtri conſilij, refellendi ſtudio vitia aliena ſcrutari, ſed vbi ſe-
              <lb/>
            ſe occaſio obtulerit, meam (qualiſcunque eſt) de aliorum ſententijs ſenten-
              <lb/>
            tiam exponere: </s>
            <s xml:id="echoid-s11736" xml:space="preserve">Solum ab eo peto, (quoniam ſe tam acutum Dialecticum
              <lb/>
            iactat, vt alios contemnere videatur; </s>
            <s xml:id="echoid-s11737" xml:space="preserve">quanquàm ex ſuperiore ſyllogiſmo,
              <lb/>
            quem in me conuertit, liquido conſtat, quam ſit Dialecticæ peritus) ex qua
              <lb/>
            Logica hanc argumentationem hauſerit; </s>
            <s xml:id="echoid-s11738" xml:space="preserve">Omnes anguli contactus ſunt mi-
              <lb/>
              <note position="left" xlink:label="note-366-01" xlink:href="note-366-01a" xml:space="preserve">Argumẽta
                <lb/>
              tiones Pele
                <lb/>
              tarij ſophj
                <lb/>
              ſticæ.</note>
            nores quolibet angulo acuto rectilineo: </s>
            <s xml:id="echoid-s11739" xml:space="preserve">ergo omnes inter ſe ſunt æquales.
              <lb/>
            </s>
            <s xml:id="echoid-s11740" xml:space="preserve">Itemque hanc; </s>
            <s xml:id="echoid-s11741" xml:space="preserve">Anguli ſemicirculorum, quò a maioribus circulis fiunt, eò
              <lb/>
            ſunt maiores: </s>
            <s xml:id="echoid-s11742" xml:space="preserve">igitur tandem ad aliquem perueniemus, qui recto rectilineo
              <lb/>
            maior ſit; </s>
            <s xml:id="echoid-s11743" xml:space="preserve">in qua quidem ad Cardanum ſcribit, nullum eſſe paralogiſmum. </s>
            <s xml:id="echoid-s11744" xml:space="preserve">
              <lb/>
            Ego ſane vehementer miror, qua ratione in tam apertas hallucinationes,
              <lb/>
            & </s>
            <s xml:id="echoid-s11745" xml:space="preserve">viro Geometra omnino indignas, incidere potuerit. </s>
            <s xml:id="echoid-s11746" xml:space="preserve">Sed argumentatio-
              <lb/>
            nes eiuſmodi ſatis ſuperque in ſcholio propoſ. </s>
            <s xml:id="echoid-s11747" xml:space="preserve">16. </s>
            <s xml:id="echoid-s11748" xml:space="preserve">lib. </s>
            <s xml:id="echoid-s11749" xml:space="preserve">3. </s>
            <s xml:id="echoid-s11750" xml:space="preserve">a me ſunt confu-
              <lb/>
            tatæ, adductis contra ipſas euidentiſsimis inſtantijs. </s>
            <s xml:id="echoid-s11751" xml:space="preserve">Deinde quòd me per-
              <lb/>
            ſtringit, quaſi parũ intellexerim, quæ ſit proportio rationalis, & </s>
            <s xml:id="echoid-s11752" xml:space="preserve">quæ irra-
              <lb/>
            tionalis, non multum laboro. </s>
            <s xml:id="echoid-s11753" xml:space="preserve">Conſtat enim eum ſtudio mihi detrahendi
              <lb/>
            id dixiſſe; </s>
            <s xml:id="echoid-s11754" xml:space="preserve">cum has proportiones vbique ex ſententia grauiſsimorum ſcri-
              <lb/>
            ptorum definierim: </s>
            <s xml:id="echoid-s11755" xml:space="preserve">neque vero ipſe, vllum peccatũ a me ea in re eſſe com-
              <lb/>
            miſſum, poterit oſtendere. </s>
            <s xml:id="echoid-s11756" xml:space="preserve">Certe commentarius meus in lib. </s>
            <s xml:id="echoid-s11757" xml:space="preserve">10. </s>
            <s xml:id="echoid-s11758" xml:space="preserve">Eucl. </s>
            <s xml:id="echoid-s11759" xml:space="preserve">abun-
              <lb/>
            de declarat, numillas intellexerim, nec ne. </s>
            <s xml:id="echoid-s11760" xml:space="preserve">Denique quòd criminatur, me
              <lb/>
            in deſinitionibus lib. </s>
            <s xml:id="echoid-s11761" xml:space="preserve">5. </s>
            <s xml:id="echoid-s11762" xml:space="preserve">proportionis nomen confundere cum Rationis no-
              <lb/>
            mine, nullo modo verum eſt. </s>
            <s xml:id="echoid-s11763" xml:space="preserve">Perſpicuis enim verbis docui in defin. </s>
            <s xml:id="echoid-s11764" xml:space="preserve">4. </s>
            <s xml:id="echoid-s11765" xml:space="preserve">lib. </s>
            <s xml:id="echoid-s11766" xml:space="preserve">
              <lb/>
            5. </s>
            <s xml:id="echoid-s11767" xml:space="preserve">me in commentario comparationem duarum quantitatum Proportio-
              <lb/>
            nem cum pluribus Geometris appellaturum, habitudinem autem propor-
              <lb/>
            tionum, Proportionalitatem; </s>
            <s xml:id="echoid-s11768" xml:space="preserve">licet in textu cum interprete illam dicam Ra
              <lb/>
            tionem, hanc vero, Proportionem. </s>
            <s xml:id="echoid-s11769" xml:space="preserve">Neque enim quicquam in textu Eucli-
              <lb/>
            dis volui immutare. </s>
            <s xml:id="echoid-s11770" xml:space="preserve">Itaque nulla in meis verbis poteſt eſſe ambiguitas.</s>
            <s xml:id="echoid-s11771" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s11772" xml:space="preserve">EX HIS, quæ diximus, ſatis (vt opinior) apparet, doctiſsimos illos vi
              <lb/>
            ros, de quibus initio memini, non ſine cauſa Apologiam Peletarij inanem,
              <lb/>
            ac reſponſionis indignam iudicaſſe. </s>
            <s xml:id="echoid-s11773" xml:space="preserve">Ego tamen, ne contemnere hominem
              <lb/>
            viderer, quem ſemper laudandum eſſe duxi, occaſione inuitatus reſponden
              <lb/>
            dum amice putaui. </s>
            <s xml:id="echoid-s11774" xml:space="preserve">Exiſtimet ille, angulum contactus quantitatem non eſ-
              <lb/>
            ſe, atque adeo angulum ſemicirculi recto rectilineo eſſe æqualem, ego cer-
              <lb/>
            te contrariam ſententiam tuebor, donec aliud mihi demonſtratum ab ali-
              <lb/>
            quo fuerit; </s>
            <s xml:id="echoid-s11775" xml:space="preserve">rationes enim Peletarij fallaces ſunt, nihilque continent in </s>
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