Huygens, Christiaan, Christiani Hugenii opera varia; Bd. 1: Opera mechanica

Table of contents

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[161.] IX.
Page: 314 (209)
[162.] X.
Page: 314 (209)
[163.] XI.
Page: 315 (210)
[164.] XII.
Page: 315 (210)
[165.] FINIS.
Page: 316 (211)
[166.] EXCERPTA EX LITERIS DATIS LONDINI {13/23} JANUARII MDCLXV.
Page: 316 (211)
[167.] EXCERPTA EX LITERIS HAGÆ CO-MITUM, DIE XXVI. FEBRUAR MDCLXV. DATIS.
Page: 318 (213)
[168.] DE HUGENIANA CENTRI OSCILLATIONIS DETERMINATIONE CONTROVERSIA.
Page: 320
[169.] DE HUGENIANA CENTRI OSCILLATIONIS DETERMINATIONE CONTROVERSIA. I. Obſervationes Abbatis Catelani in propoſitio-nem, quæ fundamentum eſt 4æ. partis tra-ctatus de Pendulis, Hugenii.
Page: 322
[170.] II. Domini Abbatis Catelani Examen Ma-thematicum Centri Oſcillationis.
Page: 324 (219)
[171.] MONITUM.
Page: 327 (222)
[172.] III. Excerpta ex literis Domini Hugenii, quibus re-ſpondet obſervationi Abbatis Catelani in 4am. pro-poſitionem Tractatus de centris Oſcillationis.
Page: 327 (222)
[173.] IV. Exceptio Abbatis Catelani ad reſponſionem Hugenii.
Page: 330 (225)
[174.] V. Objectio Abbatis Catelani contra motum Pendulorum in Cycloidibus.
Page: 332 (227)
[175.] VI. Reſponſio ad objectiones Hugenii adverſus me-thodum Abbatis Catelani de determinan-do Centro Oſcillationis.
Page: 333 (228)
[176.] VII. Excerpta ex litteris D. Bernoullii datis Baſileæ ad Autorem Diarii Pariſienſis, de Controverſia, inter Abbatem Catelanum & Hugenium, de Centro Oſcillationis.
Page: 335 (230)
[177.] VIII. Excerpta ex literis Dni. Hugenii ad Auctores Diarii Pariſienſis, datis Hagæ 8. Funii 1684. quæ continent ejus reſponſionem ad exceptio-nem Dni. Abbatis Catelani, de cen-tro Oſcillationis.
Page: 337 (232)
[178.] IX. Reſponſio Dni. Abbatis Catelani ad literas Dni. Bernoulli de Controverſia ſua cum Dno. Hu-genio de centro Oſcillationis .
Page: 340 (235)
[179.] X. Dn. Bernouillii narratio controverſiæ inter Dn. Hugenium & Abbatem Catelanum agitatæ de Centro Oſcillationis, quæ loco Anim-adverſionis eſſe poterit in Reſpon-ſionem Dn. Catelani. Excerpta ex Litteris Dn. Bernoullii Lipſiam miſſis.
Page: 342 (237)
[180.] XI. Litteræ Dni Marchionis de l’Hôpital ad Dum Huge-nium, in quibus contendit, ſeregulam hujus Au-ctoris de Centro oſcillationis penduli compoſiti demonſtrare per cauſam Phyſicam, & re-ſpondere ſimul Dno Bernoulli.
Page: 347 (242)
[181.] XII. Obſervationes Dni Hugenii in liter as præcedentes & in relationem Dni Bernoulli, cujus in iis fit mentio.
Page: 351 (246)
[182.] FINIS.
Page: 353 (248)
[183.] MACHINÆ QUÆDAM, ET VARIA CIRCA MECHANICAM.
Page: 357
[184.] MACHINÆ QUÆDAM, ET VARIA CIRCA MECHANICAM. I. Excerpta ex Literis Domini Hugenii, novam quan-dam Inventionem Horologiorum exactiſſino-rum ac portatilium concernentibus.
Page: 359
[185.] II. Nova Libella, Teleſcopio inſtructa, propriam ſecum ferens probationem, & quæ in unica ſtatione verificatur, & rectificatur.
Page: 360 (254)
[186.] Rectificationis Libellæ Demonſtratio.
Page: 364 (258)
[187.] III. Aſtroſcopia Compendiaria, Tubi Optici molimine liberata.
Page: 367 (261)
[188.] AUCTARIUM.
Page: 385 (273)
[189.] IV. Excerpta ex literis Dni Hugenii de novâ methodo conſtruendi Barometrum.
Page: 388 (276)
[190.] V. Nova vis movens mediante pulvere nitrato & aëre.
Page: 395 (280)
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            ducantur autem ab omnibus datis punctis, ad pun-
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                <emph style="sc">Decentro</emph>
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                <emph style="sc">OSCILLA-</emph>
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                <emph style="sc">TIONIS</emph>
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            ctum aliquod in circuli illius circumferentia lineæ
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            rectæ erit ſumma quadratorum ab omnibus ſem-
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            per eidem plano æqualis.</s>
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            <s xml:id="echoid-s3119" xml:space="preserve">Sint data puncta A B C D: </s>
            <s xml:id="echoid-s3120" xml:space="preserve">centrumque gravitatis eorum,
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              <note position="left" xlink:label="note-0200-02" xlink:href="note-0200-02a" xml:space="preserve">TAB. XX.
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              Fig. 5.</note>
            ſive magnitudinum æqualium ab ipſis ſuſpenſarum, ſit E;
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            <s xml:id="echoid-s3121" xml:space="preserve">& </s>
            <s xml:id="echoid-s3122" xml:space="preserve">centro E deſcribatur circulus quilibet F f, in cujus cir-
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            cumferentia ſumpto puncto aliquo, ut F, ducantur ad id,
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            à datis punctis, rectæ A F, B F, C F, D F. </s>
            <s xml:id="echoid-s3123" xml:space="preserve">Dico earum
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            omnium quadrata, ſimul ſumpta, æqualia eſſe plano cuidam
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            dato, ſemperque eidem, ubicunque in circumferentia pun-
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            ctum F ſumptum fuerit.</s>
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            <s xml:id="echoid-s3125" xml:space="preserve">Ducantur enim rectæ G H, G K, angulum rectum con-
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            ſtituentes, & </s>
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            ſita ad eandem partem. </s>
            <s xml:id="echoid-s3127" xml:space="preserve">Et à ſingulis in utramque harum
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            perpendiculares agantur A L, A K; </s>
            <s xml:id="echoid-s3128" xml:space="preserve">B M, B O; </s>
            <s xml:id="echoid-s3129" xml:space="preserve">C N,
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            C P; </s>
            <s xml:id="echoid-s3130" xml:space="preserve">D H, D Q. </s>
            <s xml:id="echoid-s3131" xml:space="preserve">A centro autem gravitatis E, & </s>
            <s xml:id="echoid-s3132" xml:space="preserve">à pun-
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            cto F, in alterutram duarum, G H vel G K, perpendi-
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            culares E R, F S. </s>
            <s xml:id="echoid-s3133" xml:space="preserve">Et item, à datis punctis, in ipſam
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            F S perpendiculares A V, B X, C Y, D Z. </s>
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            pendicularis in ipſam E R. </s>
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          A L = a # A K = e # radius # E F = z
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          B M = b # B O = f # # G S = x
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          C N = c # C P = g
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          D H = d # D Q = h
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            <s xml:id="echoid-s3136" xml:space="preserve">Quia autem E eſt centrum gravitatis punctorum A, B, C, D;
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            <s xml:id="echoid-s3137" xml:space="preserve">ſi addantur in unum perpendiculares A L, B M, C N, D H,
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            compoſitaque ex omnibus dividatur in tot partes, quot ſunt
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            data puncta; </s>
            <s xml:id="echoid-s3138" xml:space="preserve">earum partium uni æqualis erit E R . </s>
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              <note symbol="*" position="left" xlink:label="note-0200-04" xlink:href="note-0200-04a" xml:space="preserve">Prop. 2.
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            terque, divisâ in totidem partes ſummâ perpendicularium
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            A K, B O, C P, D Q, earum uni æqualis erit perpendi-
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            cularis, ducta ex E in rectam G K, ſive ipſa R G . </s>
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              <note symbol="*" position="left" xlink:label="note-0200-05" xlink:href="note-0200-05a" xml:space="preserve">Prop. 2.
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            que, ſi ſumma omnium A L, B M, C N, D H, ſive
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            a + b + c + d vocetur l: </s>
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            C P, D Q ſive e + f + g + h, vocetur m: </s>
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