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

Table of handwritten notes

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            <s xml:id="echoid-s11482" xml:space="preserve">
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            recipere; </s>
            <s xml:id="echoid-s11483" xml:space="preserve">immo eã vt oppugnet, omnes videtur in Apologia intẽdiſſe ner-
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            uos, oblitus ſui, ꝗ fere eodẽ modo illam defin. </s>
            <s xml:id="echoid-s11484" xml:space="preserve">in quinto lib. </s>
            <s xml:id="echoid-s11485" xml:space="preserve">olim expoſue-
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            rat; </s>
            <s xml:id="echoid-s11486" xml:space="preserve">niſi quod nõ recte inde colligit, angulum cõtactus non eſſe quantitatẽ,
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            propterea quod multiplicatus nullam magnitudinem, vt dicit, poſsit exce-
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            dere. </s>
            <s xml:id="echoid-s11487" xml:space="preserve">Hoc enim (pace eius dixerim) falſum eſt. </s>
            <s xml:id="echoid-s11488" xml:space="preserve">Nam licet angulus conta-
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            ctus multiplicatus angulum rectiiineum non poſsit excedere, excedet ta-
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            men alium angulum contactus. </s>
            <s xml:id="echoid-s11489" xml:space="preserve">Quare ex illa defin. </s>
            <s xml:id="echoid-s11490" xml:space="preserve">ſolum recte colligitur,
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            angulum contactus ad angulum rectilineum non habere proportionem
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            vllam; </s>
            <s xml:id="echoid-s11491" xml:space="preserve">ad angulum vero alium contactus quemcunque proportionem ha-
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            bere. </s>
            <s xml:id="echoid-s11492" xml:space="preserve">Sed ſiue ita intellexerit eam deſin. </s>
            <s xml:id="echoid-s11493" xml:space="preserve">vt ex commentarijs eius in lib. </s>
            <s xml:id="echoid-s11494" xml:space="preserve">5.
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            </s>
            <s xml:id="echoid-s11495" xml:space="preserve">colligi poteſt, ſiue ſecus, vt in Apologia indicare videtur, non multum la-
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            boro: </s>
            <s xml:id="echoid-s11496" xml:space="preserve">Certè ita illam eſſe intelligendam, vt expoſui, nemo, qui verba Eu-
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            clidis diligenter expenderit, negabit. </s>
            <s xml:id="echoid-s11497" xml:space="preserve">Verum enim verò, ſi mihi fidem ha-
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            bere non vult Peletarius, habebit certe, (niſi arrogans haberi volet) aut
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            Proclo grauiſsimo ſcriptori, qui lib. </s>
            <s xml:id="echoid-s11498" xml:space="preserve">2. </s>
            <s xml:id="echoid-s11499" xml:space="preserve">in lib. </s>
            <s xml:id="echoid-s11500" xml:space="preserve">1. </s>
            <s xml:id="echoid-s11501" xml:space="preserve">Eucl, ad definitionem an-
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            guli plani eodem modo definitionem illam intellexit, aut Petro Nonio
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            Luſitano, quem tanti facit, (& </s>
            <s xml:id="echoid-s11502" xml:space="preserve">merito id quidẽ: </s>
            <s xml:id="echoid-s11503" xml:space="preserve">fuit enim acerrimo vir in-
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            genio, & </s>
            <s xml:id="echoid-s11504" xml:space="preserve">nullo hac noſtra ætate in Mathematicis inferior) vt eum vnum
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            pro multis millibus teſtem citet, & </s>
            <s xml:id="echoid-s11505" xml:space="preserve">ſuarũ demõſtrationum approbatorem,
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            qui diſertiſsimis verbis tum in libro de Erratis Orontij, tum in Algebra
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            ſua, illam definitionem explicat, vt a me eſt expoſita: </s>
            <s xml:id="echoid-s11506" xml:space="preserve">quinetiam ibidem
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            aſſerit, ex ea defin. </s>
            <s xml:id="echoid-s11507" xml:space="preserve">colligi, angulum contactus ad angulum rectilineum, & </s>
            <s xml:id="echoid-s11508" xml:space="preserve">
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            lineam finitam ad infinitam nullam habere proportionem; </s>
            <s xml:id="echoid-s11509" xml:space="preserve">vt Petrus No. </s>
            <s xml:id="echoid-s11510" xml:space="preserve">
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            nius, quem teſtem produxerat pro ſe Peletarius, iam pro me teſtimonium
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            dicat. </s>
            <s xml:id="echoid-s11511" xml:space="preserve">Atque ex hiſce duobus locis Petri Nonij facile quiuis intelliget,
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            quam ſine ratione, quanto contradicendi ſtudio mihi inſultet Peletarius,
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            cum ſemel atque iterum odioſe percontatur, vndenam potuerim illi lineã
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            inſinitam deportare. </s>
            <s xml:id="echoid-s11512" xml:space="preserve">In idem enim crimen (ſi crimen eſt, lineam infinitam
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            exempli cauſa nominare) vocat etiam Petrum Nonium teſtem ſuum, at-
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            que adeo omnes philoſophos, quorum eſt illa vox nemini inaudita, præ-
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            terquam Peletario, finiti ad infinitum nullam eſſe proportionem. </s>
            <s xml:id="echoid-s11513" xml:space="preserve">Deſi-
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            nat igitur a me ſciſcitari, vnde lineam infinitam deportauerim: </s>
            <s xml:id="echoid-s11514" xml:space="preserve">Inde enim
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            reſpondebo, vnde eam Petrus Nonius, vnde philoſophi omnes deporta-
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            runt. </s>
            <s xml:id="echoid-s11515" xml:space="preserve">Quid? </s>
            <s xml:id="echoid-s11516" xml:space="preserve">nonne ſophiſma illud Peletarij, ſemper in hoc erro, demon-
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            ſtratio illa, volui dicere, & </s>
            <s xml:id="echoid-s11517" xml:space="preserve">quidem palmaris, qua conatur oſtendere, pro-
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            poſitionem 1. </s>
            <s xml:id="echoid-s11518" xml:space="preserve">lib. </s>
            <s xml:id="echoid-s11519" xml:space="preserve">10. </s>
            <s xml:id="echoid-s11520" xml:space="preserve">cum propoſ. </s>
            <s xml:id="echoid-s11521" xml:space="preserve">16. </s>
            <s xml:id="echoid-s11522" xml:space="preserve">lib. </s>
            <s xml:id="echoid-s11523" xml:space="preserve">3. </s>
            <s xml:id="echoid-s11524" xml:space="preserve">ſtare non poſſe, ſi angulus con-
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            tactus concedatur eſſe quantitas, a Petro Nonio Peletarij cognitore ea-
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            dem prorſus ratione, qua a me ipſo, confutatur? </s>
            <s xml:id="echoid-s11525" xml:space="preserve">Quæ ſi germana demon-
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            ftratio eſt, miror quid ſit, cur eã Nonius Geometriæ ſcientiſsimus, idemq; </s>
            <s xml:id="echoid-s11526" xml:space="preserve">
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            Peletarij approbator, minus probarit: </s>
            <s xml:id="echoid-s11527" xml:space="preserve">Cur nihilo magis demouſtrationes
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            eiuſdem, quibus planum ſacit, (vt putat) angulum contactus quantitatem
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            non eſſe, eundem illum Nonium nihil admodum mouerint? </s>
            <s xml:id="echoid-s11528" xml:space="preserve">Id enim (niſi fal
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            lor) illa Nonij verba [_Si quis ſententiam Peletarij de angulo contactus am-_
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            _plecti velit._</s>
            <s xml:id="echoid-s11529" xml:space="preserve">] declarant. </s>
            <s xml:id="echoid-s11530" xml:space="preserve">Nam ſi demonſtrationes exiſtimaſſet, profecto </s>
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