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

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[Item 1.]
[2.] CHRISTIANI HUGENII AZULICHEM, Dum viveret Zelhemi Toparchæ, OPERA VARIA. Volumen Secundum.
[3.] Lugduni Batavorum, Apud JANSSONIOS VANDER A@, Bibliopolas. MDCCXXIV.
[4.] MAX-PLANCK-INSTITUT FOR WISSENSCHAFTSGESCHICHTE Bibliothek
[5.] CHRISTIANI HUGENII OPERA GEOMETRICA. Tomus Secundus.
[6.] Tomi ſecundi contenta.
[7.] CHRISTIANI HUGENII, Const. F. THEOREMATA DE QUADRATURA HYPERBOLES, ELLIPSIS ET CIRCULI, EX DATO PORTIONUM GRAVITATIS CENTRO. Quibus ſubjuncta eſt Ε’ξέ{τα}{σι}ς Cyclometriæ Cl. Viri Gregorii à S. Vincentio, editæ Anno CIɔ Iɔcxlvii.
[8.] AD LECTOREM.
[9.] CHRISTIANI HUGENII, Const. F. THEOREMATA DE QUADRATURA HYPERBOLES, ELLIPSIS, ET CIRCULI, EX DATO PORTIONUM GRAVITATIS CENTRO Theorema I.
[10.] Theorema II.
[11.] Theorema III.
[12.] Theorema IV.
[13.] Lemma.
[14.] Theorema V.
[15.] Theorema VI.
[16.] Theorema VII.
[17.] Theorema VIII.
[18.] ἘΞἘΤΑΣΙΣ CYCLOMETRIÆ CLARISSIMI VIRI, GREGORII à S. VINCENTIO, S. J. Editæ Anno D. cIↄ Iↄc XLVII.
[19.] FINIS.
[20.] CHRISTIANI HUGENII, Const. F. AD C. V. FRAN. XAVERIUM AINSCOM. S.I. EPISTOLA, Qua diluuntur ea quibus Ε’ξε{τα}{σι}ς Cyclometriæ Gregorii à Sto. Vincentio impugnata fuit.
[21.] CHRISTIANI HUGENII, Const. F. AD C. V. FRAN. XAVERIUM AINSCOM. S. I. EPISTOLA. Cl. Viro D°. XAVERIO AINSCOM CHRISTIANUS HUGENIUS S. D.
[22.] CHRISTIANI HUGENII, Const. F. DE CIRCULI MAGNITUDINE INVENTA. ACCEDUNT EJUSDEM Problematum quorundam illuſtrium Conſtructiones.
[23.] PRÆFATIO.
[24.] CHRISTIANI HUGENII, Const. f. DE CIRCULI MAGNITUDINE INVENTA. Theorema I. Propositio I.
[25.] Theor. II. Prop. II.
[26.] Theor. III. Prop. III.
[27.] Theor. IV. Prop. IV.
[28.] Theor. V. Prop. V.
[29.] Theor. VI. Prop. VI.
[30.] Theor. VII. Prop. VII.
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            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
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            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
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            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
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            meliore fortunâ uſus ſis, ſi me inquirere oporteat, talentum
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            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>
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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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