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

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            <s xml:id="echoid-s11266" xml:space="preserve">
              <pb o="344" file="356" n="356" rhead=""/>
            rius, vt dictę propoſitiones Euclidis ſine demonſtratione admittantur, cõ-
              <lb/>
            mẽtatus eſt, ſed quę omnino falſa ſunt: </s>
            <s xml:id="echoid-s11267" xml:space="preserve">vt magnopere mirandũ ſit, potuiſſe
              <lb/>
            eũ propoſitiones a Geometria prorſus alienas tam incõſiderate proferre.
              <lb/>
            </s>
            <s xml:id="echoid-s11268" xml:space="preserve">Scilicet verum eſt, quod philoſophi aſſerunt; </s>
            <s xml:id="echoid-s11269" xml:space="preserve">Dato vno abſurdo, cætera
              <lb/>
            conſequũtur. </s>
            <s xml:id="echoid-s11270" xml:space="preserve">Aſſumpſerat enim Peletarius propoſ. </s>
            <s xml:id="echoid-s11271" xml:space="preserve">4. </s>
            <s xml:id="echoid-s11272" xml:space="preserve">& </s>
            <s xml:id="echoid-s11273" xml:space="preserve">8. </s>
            <s xml:id="echoid-s11274" xml:space="preserve">lib. </s>
            <s xml:id="echoid-s11275" xml:space="preserve">1. </s>
            <s xml:id="echoid-s11276" xml:space="preserve">pro prin
              <lb/>
            cipijs: </s>
            <s xml:id="echoid-s11277" xml:space="preserve">quod quidem falſum eſt, atq; </s>
            <s xml:id="echoid-s11278" xml:space="preserve">abſurdum. </s>
            <s xml:id="echoid-s11279" xml:space="preserve">Vnde ad eas abſurditates
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            neceſſario deuenit, quas etiam illi, qui vix adhuc principia Geometriæ
              <lb/>
            attigerunt, vel facile vitare potuiſſent. </s>
            <s xml:id="echoid-s11280" xml:space="preserve">Nam quis non videt, Rhombum,
              <lb/>
            & </s>
            <s xml:id="echoid-s11281" xml:space="preserve">Quadratum, etiamſi latera habeant & </s>
            <s xml:id="echoid-s11282" xml:space="preserve">quantitate, & </s>
            <s xml:id="echoid-s11283" xml:space="preserve">numero æqualia,
              <lb/>
            poſſe tamen inter ſe valde eſſe inæqualia? </s>
            <s xml:id="echoid-s11284" xml:space="preserve">Id quod in Pentagonis quoque
              <lb/>
            æquilateris, & </s>
            <s xml:id="echoid-s11285" xml:space="preserve">in alijs figuris pluriũ laterum æqualium cerni poteſt: </s>
            <s xml:id="echoid-s11286" xml:space="preserve">quod
              <lb/>
            non eſt huius loci pluribus verbis explicare. </s>
            <s xml:id="echoid-s11287" xml:space="preserve">Cum ergo in omnibus figu-
              <lb/>
            ris multilateris inæqualitas reperiatur, licet latera habeant & </s>
            <s xml:id="echoid-s11288" xml:space="preserve">quantitate,
              <lb/>
            & </s>
            <s xml:id="echoid-s11289" xml:space="preserve">numero æqualia, demonſtrandum fuit neceſſario Euclidi, æqualitatem
              <lb/>
            triangulorum colligi ex laterum ęqualitate, quandoquidem in alijs figuris
              <lb/>
            ea non colligitur. </s>
            <s xml:id="echoid-s11290" xml:space="preserve">Quare neq; </s>
            <s xml:id="echoid-s11291" xml:space="preserve">propoſitio 4. </s>
            <s xml:id="echoid-s11292" xml:space="preserve">Definitio, neq; </s>
            <s xml:id="echoid-s11293" xml:space="preserve">propoſitio 8. </s>
            <s xml:id="echoid-s11294" xml:space="preserve">
              <lb/>
            principium erit; </s>
            <s xml:id="echoid-s11295" xml:space="preserve">ac proinde omnes propoſitiones, quæ illis nituntur, quæ
              <lb/>
            innumerabiles propemodum ſunt, corruant neceſſe eſt, niſi demonſtra-
              <lb/>
            tiones Euclidis recipiãtur in illis propoſitionibus, cum alio modo demon
              <lb/>
              <note position="left" xlink:label="note-356-01" xlink:href="note-356-01a" xml:space="preserve">Petitut
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              principiũ à
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              Peletario
                <lb/>
              in propoſ.
                <lb/>
              4. lib. 1.
                <lb/>
              Eucl.</note>
            ſtrari non poſsint. </s>
            <s xml:id="echoid-s11296" xml:space="preserve">Demonſtratio enim noua propof. </s>
            <s xml:id="echoid-s11297" xml:space="preserve">4. </s>
            <s xml:id="echoid-s11298" xml:space="preserve">quam Peletarius
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            confinxit, nihil aliud eſt, quam (vt cum Logicis loquamur) petitio prin-
              <lb/>
            cipij. </s>
            <s xml:id="echoid-s11299" xml:space="preserve">Id quod perſpicuum erit cuilibet, qui eam diligentius conſiderare
              <lb/>
            voluerit. </s>
            <s xml:id="echoid-s11300" xml:space="preserve">Nam in ea ſolum cõſtruitur vnum triangulum poſteriori ex duo-
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            bus datis æquale, immo idem, atq; </s>
            <s xml:id="echoid-s11301" xml:space="preserve">hoc ipſum quidem ineptiſsime, cum
              <lb/>
            ad id præſtandum circulos deſcribat Peletarius, quibus tamen in demon-
              <lb/>
            ſtratione non vtitur, quod vitioſum omnino eſt in Geometria: </s>
            <s xml:id="echoid-s11302" xml:space="preserve">Deinde
              <lb/>
            infert, triangulum hoc conſtructum, quod a poſteriori ex duobus propo-
              <lb/>
            ſitis non differt, priori eſſe æquale, ſine vlla demonſtratione; </s>
            <s xml:id="echoid-s11303" xml:space="preserve">certum au-
              <lb/>
            tem eſt, hoc ab initio propoſitum fuiſſe, vt demonſtretur. </s>
            <s xml:id="echoid-s11304" xml:space="preserve">Quocirca ma-
              <lb/>
            nifeſte principium petit, cum eadem facilitate ſtatim in principio conclu
              <lb/>
            dere potuiſſet, etiamſi nullam adhibuiſſet conſtructionem, triangula pro-
              <lb/>
            poſita eſſe æqualia; </s>
            <s xml:id="echoid-s11305" xml:space="preserve">quippe cum conſtructio illa ad rem non faciat. </s>
            <s xml:id="echoid-s11306" xml:space="preserve">Idem
              <lb/>
            dico de demonſtratione propof. </s>
            <s xml:id="echoid-s11307" xml:space="preserve">24. </s>
            <s xml:id="echoid-s11308" xml:space="preserve">lib. </s>
            <s xml:id="echoid-s11309" xml:space="preserve">3. </s>
            <s xml:id="echoid-s11310" xml:space="preserve">quam etiam nouam confinxit:
              <lb/>
            </s>
            <s xml:id="echoid-s11311" xml:space="preserve">quod eorum iudicio, ad quorum manus eius commentarij peruenerunt, re-
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            linquo. </s>
            <s xml:id="echoid-s11312" xml:space="preserve">Prætereo alia loca innumerabilia, in quibus abutitur propoſitio-
              <lb/>
            nibus Euclidis in demonſtrando, vt quòd plerunq; </s>
            <s xml:id="echoid-s11313" xml:space="preserve">ſecundam propoſ. </s>
            <s xml:id="echoid-s11314" xml:space="preserve">lib. </s>
            <s xml:id="echoid-s11315" xml:space="preserve">
              <lb/>
            1. </s>
            <s xml:id="echoid-s11316" xml:space="preserve">inſcite pro tertia aſſumat, &</s>
            <s xml:id="echoid-s11317" xml:space="preserve">c. </s>
            <s xml:id="echoid-s11318" xml:space="preserve">Neq; </s>
            <s xml:id="echoid-s11319" xml:space="preserve">enim mihi in animo nunc eſt, eius
              <lb/>
            commentarios examinare, ſed ſolum calumnias, quas frequentes in ſua
              <lb/>
            Apologia adhibuit, a me depellere. </s>
            <s xml:id="echoid-s11320" xml:space="preserve">Quæ cum ita ſint, quod ille falsò de
              <lb/>
            me, verè ego de illo dicere poſſem, rubere me, (vt eius verbis vtar) Eu-
              <lb/>
            clidi interpretem contigiſſe, quinõ iam Theonem, aut Campanũ emẽdet,
              <lb/>
            ſed ipſum Euclidem ſine cauſa reprehendat; </s>
            <s xml:id="echoid-s11321" xml:space="preserve">quippe cum ego Euclidem
              <lb/>
            (vti par eſt) a calumnijs ipſius defendam, omneſque inſidias, ac fallacias,
              <lb/>
            quas contra eum inſtruxerat, detegam ac refellam. </s>
            <s xml:id="echoid-s11322" xml:space="preserve">Liquet igitur, me </s>
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