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

Table of contents

< >
[131.] CHRISTIANI HUGENII OPERA ASTRONOMICA. Tomus Tertius.
Page: 260
[132.] Tomi tertii contenta.
Page: 261
[133.] CHRISTIANI HUGENII DE SATURNILUNA OBSERVATIO NOVA. Tom. III. Ttt
Page: 262
[134.] CHRISTIANI HUGENII DE SATURNI LUNA OBSERVATIO NOVA.
Page: 264 (523)
[135.] Tom. III. Vvv.
Page: 264 (523)
[136.] CHRISTIANI HUGENII ZULICHEMII, CONST. F. SYSTEMA SATURNIUM, SIVE DE CAUSIS MIRANDORUM SATURNI PHÆNOMENON; ET COMITE EJUS PLANETA NOVO.
Page: 268
[137.] SERENISSIMO PRINCIPI LEOPOLDO AB HETRURIA Chriſtianus Hugenius S.D.
Page: 270 (529)
[138.] Tom. III. Xxx
Page: 272 (531)
[139.] NICOLAUS HEINSIUS, D. F. AD AUCTOREM SYSTEMATIS.
Page: 273 (532)
[140.] CHRISTIANI HUGENII Zulichemii, Cθnst. F. SYSTEMA SATURNIUM.
Page: 276 (535)
[141.] Tabul@ motus æqualis Lunæ Saturniæ in orbita ſua reſpectu fixarum.
Page: 299 (552)
[142.] In Menſibus anni @uli@-ni ineuntibus.
Page: 299 (552)
[143.] FINIS.
Page: 348 (595)
[144.] Eustachii De Divinis Septempedani BREVIS ANNOTATIO IN SYSTEMA SATURNIUM CHRISTIANI HUGENII. A D SERENISSIMUM PRINCIPEM LEOPOLDUM Magni Ducis HETRVRIÆ Fratrem.
Page: 350
[145.] Eustachii De Divinis Septempedani BREVIS ANNOTATIO IN SYSTEMA SATURNIUM CRISTIANI HUGENII. SERENISSIME PRINCEPS
Page: 352 (599)
[146.] FINIS.
Page: 371 (618)
[147.] Christiani Hugenii Zulichemii BREVIS ASSERTIO SYSTEMATIS SATURNII S U I, Ad Serenissimum Principem LEOPOLDUM AB HETRURIA.
Page: 372
[148.] Christiani Hugenii Zulichemii BREVIS ASSERTIO SYSTEMATIS SATURNII S U I, Ad Serenissimum Principem LEOPOLDUM AB HETRURIA. SERENISSIME PRINCEPS,
Page: 374 (621)
[149.] CHRISTIANI HUGENII DE SATURNI ANNULO OBSERVATIONES.
Page: 394
[150.] CHRISTIANI HUGENII DE SATURNI ANNULO OBSERVATIONES. I. Obſervationes in Saturnum Pariſiis habitæ in Bi-bliotheca Regia.
Page: 396 (637)
[151.] II. Excerpta ex literis D. Hugenii, Academiæ regiæ ſcien-tiarum ſocii, ad auctorem Diarii Eruditorum de figura Planetæ Saturni.
Page: 397 (638)
[152.] FINIS.
Page: 399 (640)
[153.] CHRISTIANI HUGENII ΚΟΣΜΟΘΕΩΡΟΣ, SIVE De Terris Cœleſtibus, earumque ornatu, CONJECTURÆ AD CONTANTINUM HUGENIUM, Fratrem: CULIELMO III. MAGNÆ BRITANNIÆ REGI, A SECRETIS.
Page: 400
[154.] Horat. Epiſt. 6. lib. 1.
Page: 401
[155.] BENEVOLO LECTORI SALUTEM.
Page: 402 (643)
[156.] CHRISTIANI HUGENII COSMOTHEOROS, SIVE De Terris Cœleſtibus, earumque ornatu, Conjecturæ. AD CONSTANTINUM HUGENIUM, Fratrem. LIBER I.
Page: 404 (645)
[157.] CHRISTIANI HUGENII COSMOTHEOROS, SIVE De Terris Cœleſtibus, earumque ornatu, Conjecturæ. AD CONSTANTINUM HUGENIUM, Fratrem. LIBER II.
Page: 450 (691)
[158.] FINIS.
Page: 486 (722)
[159.] CHRISTIANI HUGENII OPERA MISCELLANEA. Tomus Quartus.
Page: 487
[160.] Tomi quarti contenta.
Page: 488
< >
page |< < (433) of 568 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div169" type="section" level="1" n="79">
          <p>
            <s xml:id="echoid-s3239" xml:space="preserve">
              <pb o="433" file="0151" n="160" rhead="ET HYPERBOLÆ QUADRATURA."/>
            tione, diviſione, & </s>
            <s xml:id="echoid-s3240" xml:space="preserve">radicum extractione trianguli A B P & </s>
            <s xml:id="echoid-s3241" xml:space="preserve">
              <lb/>
            trapezii A B F P: </s>
            <s xml:id="echoid-s3242" xml:space="preserve">triangulum autem A B P & </s>
            <s xml:id="echoid-s3243" xml:space="preserve">trapezium
              <lb/>
            A B F P ſupponimus eſſe quantitates inter ſe analyticas; </s>
            <s xml:id="echoid-s3244" xml:space="preserve">& </s>
            <s xml:id="echoid-s3245" xml:space="preserve">
              <lb/>
            proinde ſector A B I P illis analytica eſſe non poteſt, hoc
              <lb/>
            eſt ex quantitatum ipſis A B P, A B F P analyticarum addi-
              <lb/>
            tione, ſubductione, multiplicatione, diviſione & </s>
            <s xml:id="echoid-s3246" xml:space="preserve">radicum
              <lb/>
            extractione componi non poteſt; </s>
            <s xml:id="echoid-s3247" xml:space="preserve">& </s>
            <s xml:id="echoid-s3248" xml:space="preserve">proinde ex hoc capite
              <lb/>
            nulla poteſt exhiberi ratio inter triangulum A B P & </s>
            <s xml:id="echoid-s3249" xml:space="preserve">ſecto-
              <lb/>
            rem A B I P, cum evidens ſit illam non eſſe analyticam. </s>
            <s xml:id="echoid-s3250" xml:space="preserve">ſed
              <lb/>
            dicet fortè aliquis rationem inter triangulum A B P & </s>
            <s xml:id="echoid-s3251" xml:space="preserve">ſecto-
              <lb/>
            rem A B I P omnifariam variari poſſe; </s>
            <s xml:id="echoid-s3252" xml:space="preserve">& </s>
            <s xml:id="echoid-s3253" xml:space="preserve">proinde poſſe eſſe
              <lb/>
            inter ſe in ratione qualibet data ſive analytica ſive etiam com-
              <lb/>
            menſurabili: </s>
            <s xml:id="echoid-s3254" xml:space="preserve">reſpondeo hoc eſſe veriſſimum, ſed in hoc ca-
              <lb/>
            ſu ratio inter triangulum A B P & </s>
            <s xml:id="echoid-s3255" xml:space="preserve">trapezium A B F P non
              <lb/>
            erit analytica; </s>
            <s xml:id="echoid-s3256" xml:space="preserve">& </s>
            <s xml:id="echoid-s3257" xml:space="preserve">proinde ex dato circulo ellipſe vel hyper-
              <lb/>
            bola nunquam dabitur in analyticis triangulum A B P, quod
              <lb/>
            ex prædictis clariſſimè patet. </s>
            <s xml:id="echoid-s3258" xml:space="preserve">etiamſi ex prædicto capite non
              <lb/>
            poſſimus comprehendere rationem inter triangulum A B P & </s>
            <s xml:id="echoid-s3259" xml:space="preserve">
              <lb/>
            ſectorem A B I P, poſſumus tamen ejus aliquam habere cogni-
              <lb/>
            tionem, ex eo quod ſector A B I P ſit terminatio ſeriei con-
              <lb/>
            vergentis datæ; </s>
            <s xml:id="echoid-s3260" xml:space="preserve">& </s>
            <s xml:id="echoid-s3261" xml:space="preserve">ex hac conſideratione poſſibile eſt inve-
              <lb/>
            nire quantitatem datæ commenſurabilem cujus differentia à
              <lb/>
            ſectore A B I P minor fuerit quacunque quantitate propoſi-
              <lb/>
            ta, ad hoc enim ſemper recurrendum eſt, cum de quantita-
              <lb/>
            tibus quibuscunque incommenſurabilibus tractant practici,
              <lb/>
            & </s>
            <s xml:id="echoid-s3262" xml:space="preserve">in hac noſtra approximatione praxis non erit operoſior
              <lb/>
            quam in multis aliis etiam quantitatum analyticarum appro-
              <lb/>
            ximationibus, immo multo brevior, facilior & </s>
            <s xml:id="echoid-s3263" xml:space="preserve">paratior erit
              <lb/>
            illis Vietæ ſectionibus angularibus, quæ tamen ſummæ ma-
              <lb/>
            theſeos utilitati in praxem reducuntur. </s>
            <s xml:id="echoid-s3264" xml:space="preserve">non video ergo qua-
              <lb/>
            re circuli quadratura diutius æſtimetur ignorari: </s>
            <s xml:id="echoid-s3265" xml:space="preserve">cum enim
              <lb/>
            demonſtratum ſit rationem circuli ad diametri quadratum
              <lb/>
            non eſſe analyticam, vanum certè erit & </s>
            <s xml:id="echoid-s3266" xml:space="preserve">ineptum illam ſicut
              <lb/>
            talem impoſterum quærere: </s>
            <s xml:id="echoid-s3267" xml:space="preserve">at rejectis quantitatibus analyti-
              <lb/>
            cis, vix credo ullam poſſe eſſe notiorem hisce noſtrarum ſe-
              <lb/>
            rierum convergentium terminationibus, ſicut ex ſequentibus
              <lb/>
            pleniſſimè apparebit.</s>
            <s xml:id="echoid-s3268" xml:space="preserve"/>
          </p>
        </div>
      </text>
    </echo>
Impressum