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

Table of figures

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[61] Fig. 5.G L B H D O A E C K
[62] Fig. 7.K F A C D B E H G
[63] Pag. 404.TAB. XLII.Fig. 1.K F M A C D B L E N G
[64] Fig. 3.G R D B H F E N A X C M P Q K
[65] Fig. 2.K A F c S C L E B T G D R d
[66] Fig. 4.K e G P E m B D f R F S H M C A N L Q n
[67] Fig. 5.B C R E G A F M Q D O
[68] Fig. 6.B C H G E A M Q P K D
[69] Fig. 7.B C E G A M P Q K H D
[Figure 70]
[71] Pag. 450.TAB.XLIII.Fig. 4.B A F R P C D E G H I K S L M N O
[72] Fig. 1.F G I K D L E S T O C N H M V R B Q P A
[73] Fig. 2.F G I K D L E S T O C N V R B Q P A
[74] Fig. 5.A C B D E
[75] Fig. 3.A F G I K D L S T E O C N H M V R B Q P
[Figure 76]
[Figure 77]
[Figure 78]
[Figure 79]
[Figure 80]
[Figure 81]
[Figure 82]
[83] TAB. XLIV.Fig. 2.D H A B E F G
[84] Fig. 1.E G N L O I Q P D K M H F A
[85] Fig. 3.B E F A D G C
[86] I. CasusFig. 4.Y Q R C A B M L I K V C O S X
[87] II. CasusFig. 5.R C Y Q A B I L M K V O X S C
[88] III. CasusFig. 6.Q C D Y K L I N M S V B X C A G O
[89] Fig. 7.IV. CasusQ D C A B S L N X M I V Y K C G O
[Figure 90]
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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-
              <lb/>
            laberetur. </s>
            <s xml:id="echoid-s1049" xml:space="preserve">Verum age, inſpiciamus jam quo rem deducas, poſt-
              <lb/>
            eaquam verbi continere novam ſignificationem elicuiſti, eâque
              <lb/>
            vetera theoremata tam ſcitè interpolaſti. </s>
            <s xml:id="echoid-s1050" xml:space="preserve">In Corollario propo-
              <lb/>
            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-
              <lb/>
            deris, unas ex aliis difficultates nectendo, ut ſi quis argumen-
              <lb/>
            tationis tuæ tenorem conſectari cupiat, is defeſſus abſiſtat pri-
              <lb/>
            uſquam ad finem pervenerit. </s>
            <s xml:id="echoid-s1054" xml:space="preserve">Ego ad eum uſque locum te ſecu-
              <lb/>
            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-
              <lb/>
            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-
              <lb/>
            bitare nequeam: </s>
            <s xml:id="echoid-s1058" xml:space="preserve">ſed quoniam alia evadendi ratio non occurre-
              <lb/>
            bat, ſperaſti, credo, in tanta obſcuritate nemini illud facile
              <lb/>
            animadverſum iri. </s>
            <s xml:id="echoid-s1059" xml:space="preserve">Dein, inquis, aſſumantur duo plana Hyper-
              <lb/>
            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
              <lb/>
            aliâ præcautione aſſumuntur quam quod rectis alteri aſympto-
              <lb/>
            torum parallelis includi ea neceſſe ſit. </s>
            <s xml:id="echoid-s1062" xml:space="preserve">De magnitudine utriuſ-
              <lb/>
            que aut ratione quam inter ſe ſervare debeant nihil præcipis. </s>
            <s xml:id="echoid-s1063" xml:space="preserve">I-
              <lb/>
            gitur quamlibet magnum aut parvum unum quodque eorum
              <lb/>
            abſcindi poterit. </s>
            <s xml:id="echoid-s1064" xml:space="preserve">Mox tamen rationem ſpatii Y ad Z cum aliis
              <lb/>
            rationibus comparare inſtituis, quas prius ſecundum certam de-
              <lb/>
            terminationem aſſumpſiſti, tibique hoc demonſtrandum propo-
              <lb/>
            nis, Rationem totalem planorum X ad T tam eſſe multiplicem ra-
              <lb/>
            tionis totalis planorum Y ad Z, quàm ratio totalis ſolidorum G H
              <lb/>
            ad I K multiplicata eſt rationis totalis ſolidi L M ad N O. </s>
            <s xml:id="echoid-s1065" xml:space="preserve">Quid-
              <lb/>
            nam, quæſo, abſurdius, quam de quantitate ejus rationis ali-
              <lb/>
            quid enunciare, quæ prorſus in certa ſit ac vaga? </s>
            <s xml:id="echoid-s1066" xml:space="preserve">Equidem ex
              <lb/>
            hoc ſolo ſatis liquere puto, quam fruſtra primæ Quadraturæ
              <lb/>
            ſuppetias ferre tentaveris, cum in eo quod præcipuè tibi ex-
              <lb/>
            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-
              <lb/>
            tum fore, quod rationem peripheriæ ad diametrum quam ſin-
              <lb/>
            gulis quadraturis datam eſſe profitemini, ipſi tamen exhibere
              <lb/>
            non poteſtis; </s>
            <s xml:id="echoid-s1069" xml:space="preserve">non autor ipſe Quadraturæ, non tot ejus diſci-
              <lb/>
            puli, qui tot jam annis in id incumbunt, ut paucioribus Ilium
              <lb/>
            expugnatum ſit. </s>
            <s xml:id="echoid-s1070" xml:space="preserve">Datam eſſe rationem, Euclides definivit, </s>
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