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

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          <p>
            <s xml:id="echoid-s11200" xml:space="preserve">
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            lib. </s>
            <s xml:id="echoid-s11201" xml:space="preserve">1. </s>
            <s xml:id="echoid-s11202" xml:space="preserve">quæ problemata ſunt. </s>
            <s xml:id="echoid-s11203" xml:space="preserve">Hic certe Peletarium iure carpere potuiſ-
              <lb/>
            ſem, ſi id mihi fuiſſet propoſitum, vt falſo criminatur; </s>
            <s xml:id="echoid-s11204" xml:space="preserve">maxime in eo, quòd
              <lb/>
            eadem ratione vſui fore exiſtimauit ſuperpoſitionem in demoſtrãdis pro-
              <lb/>
            blematibus, ac theorematibus. </s>
            <s xml:id="echoid-s11205" xml:space="preserve">Nam non ſatis intellexiſſe videtur, quo
              <lb/>
            pacto Geometræ ſuperpoſitionem illam vſurpent. </s>
            <s xml:id="echoid-s11206" xml:space="preserve">Neq; </s>
            <s xml:id="echoid-s11207" xml:space="preserve">enim volunt, re
              <lb/>
            ipſa faciendam eſſe figurarum ſuperpoſitionem, (hoc enim mechanicum
              <lb/>
              <note position="right" xlink:label="note-355-01" xlink:href="note-355-01a" xml:space="preserve">Superpoſi-
                <lb/>
              tio figura-
                <lb/>
              rum apud
                <lb/>
              Geometras
                <lb/>
              quo modo
                <lb/>
              intelliga--
                <lb/>
              tur, & cur
                <lb/>
              ea locum
                <lb/>
              habeat in
                <lb/>
              theorema-
                <lb/>
              tibus, non
                <lb/>
              autem in
                <lb/>
              problema-
                <lb/>
              tibus.</note>
            quid eſſet) ſed cogitatione tantum, ac mente, quod opus eſt rationis atq;
              <lb/>
            </s>
            <s xml:id="echoid-s11208" xml:space="preserve">intellectus. </s>
            <s xml:id="echoid-s11209" xml:space="preserve">Itaque in theorematibus quidem locum habebit genus hoc
              <lb/>
            argumentaudi, in problematibus vero non. </s>
            <s xml:id="echoid-s11210" xml:space="preserve">Namq; </s>
            <s xml:id="echoid-s11211" xml:space="preserve">in theorematibus,
              <lb/>
            propter magnitudinum æqualitatem, inæqualitatemve, quæ, vt nota, po-
              <lb/>
            nitur, facile intellectus cuiuſuis ſine vlla hęſitatione comprehendit, vnam
              <lb/>
            vel non excedere alteram, vel excedere, ſi animo concipiatur vna alteri
              <lb/>
            eſſe ſuperpoſita, quamuis re ipſa non fiat illa ſuperpoſitio, vt in propoſ. </s>
            <s xml:id="echoid-s11212" xml:space="preserve">4. </s>
            <s xml:id="echoid-s11213" xml:space="preserve">
              <lb/>
            lib. </s>
            <s xml:id="echoid-s11214" xml:space="preserve">1. </s>
            <s xml:id="echoid-s11215" xml:space="preserve">factum eſt: </s>
            <s xml:id="echoid-s11216" xml:space="preserve">At in problematibus, in quibus magnitudinẽ quis alte-
              <lb/>
            ri æqualem conſtruere iubetur, licet mente cogitet magnitudinem propo
              <lb/>
            ſitam ttansferri in alium locum, non tamen propterea quicquam efficiet,
              <lb/>
            cum reipſa tranſlatio nulla facta ſit: </s>
            <s xml:id="echoid-s11217" xml:space="preserve">Vt mirum ſit, Peletarium ſibi perſua-
              <lb/>
            dere potuiſſe, propoſ. </s>
            <s xml:id="echoid-s11218" xml:space="preserve">2. </s>
            <s xml:id="echoid-s11219" xml:space="preserve">& </s>
            <s xml:id="echoid-s11220" xml:space="preserve">3. </s>
            <s xml:id="echoid-s11221" xml:space="preserve">lib. </s>
            <s xml:id="echoid-s11222" xml:space="preserve">1. </s>
            <s xml:id="echoid-s11223" xml:space="preserve">& </s>
            <s xml:id="echoid-s11224" xml:space="preserve">alias pene omnes per ſuperpoſitio-
              <lb/>
            nem, ſiue tranſlationem linearum, figurarumve poſſe demonſtrari, ſi hoc
              <lb/>
            modo argumentandi in Geometria vti liceret. </s>
            <s xml:id="echoid-s11225" xml:space="preserve">Et certe hac in re non ſo-
              <lb/>
            lum Euclidem in crimen vocat Peletarius, verum etiam Archimedem,
              <lb/>
            quo, omnium iudicio, acutior in demonſtrando, & </s>
            <s xml:id="echoid-s11226" xml:space="preserve">ſubtilior fuit nemo,
              <lb/>
            eiuſque commentatorem grauiſsimum, eumque doctiſsimum Eutocium
              <lb/>
            Aſcalonitam, qui eodem argumentandi genere vtuntur in æqueponderan
              <lb/>
            tibus, immo vero & </s>
            <s xml:id="echoid-s11227" xml:space="preserve">omnes Geometras redarguat neceſſe eſt, qui non ra-
              <lb/>
            ro hoc argumenti genus adhibent. </s>
            <s xml:id="echoid-s11228" xml:space="preserve">Sed videamus, quò tandem egregius
              <lb/>
            hic noſter Geometra, qui omnes alios Geometras reprehendit, ſit deuo-
              <lb/>
            lutus. </s>
            <s xml:id="echoid-s11229" xml:space="preserve">Viderat Peletarius, (neq; </s>
            <s xml:id="echoid-s11230" xml:space="preserve">enim rem adeo manifeſtam videre non po
              <lb/>
            terat) ſi hunc modum argumentandi è medio tollat, vniuerſam ſe Geo-
              <lb/>
            metriam funditus euertere, cum plurimæ, eæque præcipuæ propoſitiones
              <lb/>
            in Geometria demonſtrentur ex propoſ. </s>
            <s xml:id="echoid-s11231" xml:space="preserve">4. </s>
            <s xml:id="echoid-s11232" xml:space="preserve">& </s>
            <s xml:id="echoid-s11233" xml:space="preserve">8. </s>
            <s xml:id="echoid-s11234" xml:space="preserve">lib. </s>
            <s xml:id="echoid-s11235" xml:space="preserve">1. </s>
            <s xml:id="echoid-s11236" xml:space="preserve">& </s>
            <s xml:id="echoid-s11237" xml:space="preserve">ex 24. </s>
            <s xml:id="echoid-s11238" xml:space="preserve">lib. </s>
            <s xml:id="echoid-s11239" xml:space="preserve">3. </s>
            <s xml:id="echoid-s11240" xml:space="preserve">
              <lb/>
            quæ quidem alio modo demonſtrari nequeunt, quam per dictam figura-
              <lb/>
            rum ſuperpoſitionem, non quidem re ipſa exiſtentem, ſed cogitatione
              <lb/>
            duntaxat, vt dixi, comprehenſam. </s>
            <s xml:id="echoid-s11241" xml:space="preserve">Quò igitur ſe verteret? </s>
            <s xml:id="echoid-s11242" xml:space="preserve">quid ageret? </s>
            <s xml:id="echoid-s11243" xml:space="preserve">
              <lb/>
            Excogitauit ſane rem magis à Geometria alienam, quam eſt ſuperpoſitio
              <lb/>
              <note position="right" xlink:label="note-355-02" xlink:href="note-355-02a" xml:space="preserve">Abſurda sẽ
                <lb/>
              tentia Pele
                <lb/>
              tarij de pro
                <lb/>
              pof. 4. & 8.
                <lb/>
              lib. 1. Eucl.</note>
            illa figurarum. </s>
            <s xml:id="echoid-s11244" xml:space="preserve">Coactus enim eſt aſſerere, propoſitionem 4. </s>
            <s xml:id="echoid-s11245" xml:space="preserve">lib. </s>
            <s xml:id="echoid-s11246" xml:space="preserve">1. </s>
            <s xml:id="echoid-s11247" xml:space="preserve">eſſe de-
              <lb/>
            finitionem angulorum ęqualium, (& </s>
            <s xml:id="echoid-s11248" xml:space="preserve">quis vnquam talem audiuit definitio-
              <lb/>
            nem?) </s>
            <s xml:id="echoid-s11249" xml:space="preserve">atq; </s>
            <s xml:id="echoid-s11250" xml:space="preserve">adeo concedendam eam eſſe ſine demonſtratione: </s>
            <s xml:id="echoid-s11251" xml:space="preserve">propoſi-
              <lb/>
            tionem vero 8. </s>
            <s xml:id="echoid-s11252" xml:space="preserve">eiuſdem lib. </s>
            <s xml:id="echoid-s11253" xml:space="preserve">principium eſſe per ſe quoq; </s>
            <s xml:id="echoid-s11254" xml:space="preserve">notum. </s>
            <s xml:id="echoid-s11255" xml:space="preserve">Quod
              <lb/>
            vt credibile magis efficiat, ita ſcribit in propoſitionem 4. </s>
            <s xml:id="echoid-s11256" xml:space="preserve">lib. </s>
            <s xml:id="echoid-s11257" xml:space="preserve">1. </s>
            <s xml:id="echoid-s11258" xml:space="preserve">[_Etenim_
              <lb/>
            _nulla euidentiori Specie æqualitas figurarum dignoſcitur, quam ex laterum_
              <lb/>
            _æqualitate._</s>
            <s xml:id="echoid-s11259" xml:space="preserve">] Idemque quaſi confirmat, & </s>
            <s xml:id="echoid-s11260" xml:space="preserve">repetit in propoſitionem 8. </s>
            <s xml:id="echoid-s11261" xml:space="preserve">eiuſ-
              <lb/>
            dem lib. </s>
            <s xml:id="echoid-s11262" xml:space="preserve">dum ita loquitur. </s>
            <s xml:id="echoid-s11263" xml:space="preserve">[_Quis enim negauerit, duas ſuperficies eſſe æqua-_
              <lb/>
            _les, quarum latera & </s>
            <s xml:id="echoid-s11264" xml:space="preserve">quantitate, & </s>
            <s xml:id="echoid-s11265" xml:space="preserve">numero ſunt æqualia?_</s>
            <s xml:id="echoid-s11266" xml:space="preserve">] Hæc Peleta-</s>
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