Huygens, Christiaan, Christiani Hugenii opera varia; Bd. 2: Opera geometrica. Opera astronomica. Varia de optica

Table of handwritten notes

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            <s xml:id="echoid-s1048" xml:space="preserve">
              <pb o="349" file="0057" n="61" rhead="EPISTOLA."/>
            aliâ aſſumptâ formâ quantum libet arctè ſeſe conſtringentibus e-
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            laberetur. </s>
            <s xml:id="echoid-s1049" xml:space="preserve">Verum age, inſpiciamus jam quo rem deducas, poſt-
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            eaquam verbi continere novam ſignificationem elicuiſti, eâque
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            vetera theoremata tam ſcitè interpolaſti. </s>
            <s xml:id="echoid-s1050" xml:space="preserve">In Corollario propo-
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            ſitionis 40. </s>
            <s xml:id="echoid-s1051" xml:space="preserve">lib. </s>
            <s xml:id="echoid-s1052" xml:space="preserve">10. </s>
            <s xml:id="echoid-s1053" xml:space="preserve">quò tam ſæpe provocas, id unum egiſſe vi-
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            deris, unas ex aliis difficultates nectendo, ut ſi quis argumen-
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            tationis tuæ tenorem conſectari cupiat, is defeſſus abſiſtat pri-
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            uſquam ad finem pervenerit. </s>
            <s xml:id="echoid-s1054" xml:space="preserve">Ego ad eum uſque locum te ſecu-
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            tus ſum, ubi ſpatia Y & </s>
            <s xml:id="echoid-s1055" xml:space="preserve">Z aſſumi jubes: </s>
            <s xml:id="echoid-s1056" xml:space="preserve">Inde non ulterius pro-
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            cedendum putavi. </s>
            <s xml:id="echoid-s1057" xml:space="preserve">Adeo enim manifeſto vitio atque ἀγεωμετρησίἀ
              <lb/>
            ibi laborat conſtructio tua, ut tibimet ipſi exploratum id eſſe du-
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            bitare nequeam: </s>
            <s xml:id="echoid-s1058" xml:space="preserve">ſed quoniam alia evadendi ratio non occurre-
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            bat, ſperaſti, credo, in tanta obſcuritate nemini illud facile
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            animadverſum iri. </s>
            <s xml:id="echoid-s1059" xml:space="preserve">Dein, inquis, aſſumantur duo plana Hyper-
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            bolica Y & </s>
            <s xml:id="echoid-s1060" xml:space="preserve">Z, rectis alteri aſymptotorum parallelis incluſa. </s>
            <s xml:id="echoid-s1061" xml:space="preserve">Nullâ
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            aliâ præcautione aſſumuntur quam quod rectis alteri aſympto-
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            torum parallelis includi ea neceſſe ſit. </s>
            <s xml:id="echoid-s1062" xml:space="preserve">De magnitudine utriuſ-
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            que aut ratione quam inter ſe ſervare debeant nihil præcipis. </s>
            <s xml:id="echoid-s1063" xml:space="preserve">I-
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            gitur quamlibet magnum aut parvum unum quodque eorum
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            abſcindi poterit. </s>
            <s xml:id="echoid-s1064" xml:space="preserve">Mox tamen rationem ſpatii Y ad Z cum aliis
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            rationibus comparare inſtituis, quas prius ſecundum certam de-
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            terminationem aſſumpſiſti, tibique hoc demonſtrandum propo-
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            nis, Rationem totalem planorum X ad T tam eſſe multiplicem ra-
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            tionis totalis planorum Y ad Z, quàm ratio totalis ſolidorum G H
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            ad I K multiplicata eſt rationis totalis ſolidi L M ad N O. </s>
            <s xml:id="echoid-s1065" xml:space="preserve">Quid-
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            nam, quæſo, abſurdius, quam de quantitate ejus rationis ali-
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            quid enunciare, quæ prorſus in certa ſit ac vaga? </s>
            <s xml:id="echoid-s1066" xml:space="preserve">Equidem ex
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            hoc ſolo ſatis liquere puto, quam fruſtra primæ Quadraturæ
              <lb/>
            ſuppetias ferre tentaveris, cum in eo quod præcipuè tibi ex-
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            plicandum erat, tam inſigniter delinquas. </s>
            <s xml:id="echoid-s1067" xml:space="preserve">In tribus reliquis an
              <lb/>
            meliore fortunâ uſus ſis, ſi me inquirere oporteat, talentum
              <lb/>
            non meream. </s>
            <s xml:id="echoid-s1068" xml:space="preserve">Id tamen ſcito perpetuum adverſus vos argumen-
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            tum fore, quod rationem peripheriæ ad diametrum quam ſin-
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            gulis quadraturis datam eſſe profitemini, ipſi tamen exhibere
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            non poteſtis; </s>
            <s xml:id="echoid-s1069" xml:space="preserve">non autor ipſe Quadraturæ, non tot ejus diſci-
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            puli, qui tot jam annis in id incumbunt, ut paucioribus Ilium
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            expugnatum ſit. </s>
            <s xml:id="echoid-s1070" xml:space="preserve">Datam eſſe rationem, Euclides definivit, </s>
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