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

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            <s xml:id="echoid-s885" xml:space="preserve">
              <pb o="344" file="0052" n="56" rhead="CHRIST. HUGENII AD XAVERIUM"/>
            rum qui vobis de reperta Quadratura gratulantur. </s>
            <s xml:id="echoid-s886" xml:space="preserve">E ſocie-
              <lb/>
            tate veſtra Vir eximius A. </s>
            <s xml:id="echoid-s887" xml:space="preserve">Tacquetus, accurate ſibi lectam
              <lb/>
            eſſe m@ltumque prohari Exetaſin noſtram reſcripſit, & </s>
            <s xml:id="echoid-s888" xml:space="preserve">recte
              <lb/>
            me urgere autorem Quadraturæ, ut exhibeat, quoties ratio
              <lb/>
            prima contineat ſecundam & </s>
            <s xml:id="echoid-s889" xml:space="preserve">ſecunda tertiam, idque niſipræ-
              <lb/>
            ſtet, tertiam incognitam explicaturum nunquam, ac proinde
              <lb/>
            non daturum quadraturam, quæ à notitia tertiæ illius ratio-
              <lb/>
            nis dependet. </s>
            <s xml:id="echoid-s890" xml:space="preserve">Alter item apud vos eſt Clariſſimus Gutſcho-
              <lb/>
            vius, quem paſſim profiteri ſcio magnos P. </s>
            <s xml:id="echoid-s891" xml:space="preserve">Gregorii cona-
              <lb/>
            tus noſtrâ operâ penitus concidiſſe. </s>
            <s xml:id="echoid-s892" xml:space="preserve">Neque aliter ſentit Vir
              <lb/>
            undiquaque Doctiſſimus & </s>
            <s xml:id="echoid-s893" xml:space="preserve">in Academia Oxonienſi Mathe-
              <lb/>
            matum Profeſſor J. </s>
            <s xml:id="echoid-s894" xml:space="preserve">Walliſius, idque publice teſtatum fecit
              <lb/>
            in edito nuper ſubtiliſſimo opere de Infinitorum Arithmeti-
              <lb/>
            ca. </s>
            <s xml:id="echoid-s895" xml:space="preserve">Poſſemque & </s>
            <s xml:id="echoid-s896" xml:space="preserve">alios complures referre quorum pro me fa-
              <lb/>
            cit calculus, ni perſuaſum haberem in re Geometrica ratio-
              <lb/>
            nibus magis quam autoritate agendum. </s>
            <s xml:id="echoid-s897" xml:space="preserve">Neque enim dubito
              <lb/>
            quin dicturus ſis, eodem mecum errore ductos qui mihi ap-
              <lb/>
            plaudunt, ipſos quoque nihilo rectius penetraſſe ſenſa au-
              <lb/>
            toris tui. </s>
            <s xml:id="echoid-s898" xml:space="preserve">Quare id agam potius, ut procul à me ſimul atque
              <lb/>
            illis hanc, ſive inſcitiæ, ſive oſcitantiæ culpam amoliar. </s>
            <s xml:id="echoid-s899" xml:space="preserve">Prius
              <lb/>
            autem ad alia quoque nonnulla quæ mihi objicis reſponden-
              <lb/>
            dum opinor. </s>
            <s xml:id="echoid-s900" xml:space="preserve">Variis allatis conjecturis veriſimile reddere co-
              <lb/>
            natus eram, ex quatuor quadraturis eam à vobis præferri quæ
              <lb/>
            prima ponitur. </s>
            <s xml:id="echoid-s901" xml:space="preserve">Hoc ita refutas, ut, quod ego præcipuum
              <lb/>
            argumentum dixeram, diſſimules prætereáſque. </s>
            <s xml:id="echoid-s902" xml:space="preserve">Verum per
              <lb/>
            me licet ut quo loco vobis viſum erit primam quadraturam
              <lb/>
            habeatis. </s>
            <s xml:id="echoid-s903" xml:space="preserve">Ego me abunde præſtitiſſe arbitrabor ſi hancabſur-
              <lb/>
            dam eſſe evincam: </s>
            <s xml:id="echoid-s904" xml:space="preserve">cuique hoc planum fecero, eum non pu-
              <lb/>
            to reliquarum trium confutationem expetiturum, imo, ſi
              <lb/>
            offeratur, ne lecturum quidem. </s>
            <s xml:id="echoid-s905" xml:space="preserve">Etenim quod iiſdem omnes
              <lb/>
            principiis innitantur, Proportionalitatum nimirum doctrinæ
              <lb/>
            atque ei quæ eſt de ductibus plani in planum, tam certum eſt,
              <lb/>
            ut negari nulla ratione poſſit. </s>
            <s xml:id="echoid-s906" xml:space="preserve">Negas tu tamen hoc, crebro-
              <lb/>
            que inculcas, in prima hac quadratura, proportionalitatum
              <lb/>
            conſideratione, non uti autorem tuum. </s>
            <s xml:id="echoid-s907" xml:space="preserve">Sed miror qua fron-
              <lb/>
            te; </s>
            <s xml:id="echoid-s908" xml:space="preserve">cum non ignores utique propoſitionem 12. </s>
            <s xml:id="echoid-s909" xml:space="preserve">39. </s>
            <s xml:id="echoid-s910" xml:space="preserve">& </s>
            <s xml:id="echoid-s911" xml:space="preserve">40.
              <lb/>
            </s>
            <s xml:id="echoid-s912" xml:space="preserve">libri 10. </s>
            <s xml:id="echoid-s913" xml:space="preserve">ex 8
              <emph style="super">va</emph>
            . </s>
            <s xml:id="echoid-s914" xml:space="preserve">ejuſdem libri demonſtrari, hanc vero per 114.</s>
            <s xml:id="echoid-s915" xml:space="preserve"/>
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