Musschenbroek, Petrus van, Physicae experimentales, et geometricae de magnete, tuborum capillarium vitreorumque speculorum attractione, magnitudine terrae, cohaerentia corporum firmorum dissertationes: ut et ephemerides meteorologicae ultraiectinae

Table of contents

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[311.] Problema. XIX. Triangulum E S F, Leida, Gouda, Rotterodamum.
[312.] Problema XX. Triangulum E S V. Leida, Vltrajectum, Gouda.
[313.] Problema XXI. Triangulum E R V, connectens Trajectum, Leidam, Dordracum.
[314.] Problema. XXII. Triangulum E M V. Leida, Oudewatera, Vltrajectum.
[315.] Problema XXIII. Triangulum E M S. Leidam, Oudewateram & Gou-dam connectens.
[316.] Problema XXIV. In Triangulo A E I Haga, Leida, Harlemum.
[317.] Problema XXV. Tab. XV. fig. 15. Diſtantia inter Harlemum & Leidam alio modo quæſita in Triangulo I A E.
[318.] Problema XXVI. Tab. XVI. Triangulum O E V, Amſtelodamum, Leida, Vltrajectum.
[319.] Problema XXVII. Triangulum E I V, Leida, Harlemum, Vltra-jectum.
[320.] Problema XXVIII. Triangulum E I O, Leida, Harlemum, Amſtelo-damum.
[321.] Problema XXIX. Triangulum I O ?, Harlemum, Amſtelodamum Alcmaria.
[322.] Problema XXX. Triangulum E O ? Leida, Amſtelodamum, Alcmaria.
[323.] Problema XXXI. Triangulum M V L, Oude-Watera, Vltrajectum, Bommelia.
[324.] Problema XXXII. Trangulum R V L, Dordracum, Trajectum, Bommelia.
[325.] Problema XXXIII. Triangulum E V L. Leida, Trajectum, Bommelia.
[326.] Problema XXXIV. Triangulum ? E L, Alcmaria, Leida, Bommelia.
[327.] Problema XXXV. Triangulum R L V. Dordracum, Bommelia, Breda.
[328.] Problema XXXVI. Triangulum R S F. Dordracum, Gouda, Rotterodamum.
[329.] Problema XXXVII. Triangulum R T F, Dordracum, Willemſtadium, Rotterodamum.
[330.] Problema XXXVIII. Triangulum R T V. Dordracum, Willemſtadium, Breda.
[331.] Problema XXXIX. Triangulum T V Q Willemſtadium, Breda, Bergaad Somum.
[332.] Problema XL. Triangulum R V Q Dordracum, Breda, Berga ad Somum.
[333.] Problema XLI. Triangulum V L Q Breda, Bommelia, Berga ad Somum.
[334.] Problema XLII. Triangulum E I ?, Leida, Harlemum, Alcmaria.
[335.] Problema XLIII. Triangulum E V ?. Leida, Trajectum, Alcmaria.
[336.] Problema XLIV. Triangulum V L ?. Trajectum, Bommelia, Alcmaria.
[337.] Problema XLV. Triangulum Q L ?. Berga ad Somum, Bommelia, Alcmaria.
[338.] Problema XLVI.
[339.] FINIS.
[340.] INTRODUCTIO AD COHÆ RENTIAM CORPORUM FIRMORUM.
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              <pb o="420" file="0434" n="434" rhead="DISSERTATIO DE MAGNITUDINE TERRÆ."/>
            metræ Galliarum in Tractatu vocato. </s>
            <s xml:id="echoid-s9390" xml:space="preserve">Suite des Memoires de l’ Acad.
              <lb/>
            </s>
            <s xml:id="echoid-s9391" xml:space="preserve">Roy. </s>
            <s xml:id="echoid-s9392" xml:space="preserve">A°. </s>
            <s xml:id="echoid-s9393" xml:space="preserve">1718. </s>
            <s xml:id="echoid-s9394" xml:space="preserve">dederunt: </s>
            <s xml:id="echoid-s9395" xml:space="preserve">Hi in parte I. </s>
            <s xml:id="echoid-s9396" xml:space="preserve">Cap. </s>
            <s xml:id="echoid-s9397" xml:space="preserve">
              <emph style="sc">XIII</emph>
            uni Gradui ad-
              <lb/>
            ſcribunt 57097 Hexapedas Pariſinas. </s>
            <s xml:id="echoid-s9398" xml:space="preserve">Eſt pes Rhenolandicus minor
              <lb/>
            Pariſino, & </s>
            <s xml:id="echoid-s9399" xml:space="preserve">quidem ſecundum Picardum in divers Ouvrages des
              <lb/>
            Meſſieurs de l’ Acad. </s>
            <s xml:id="echoid-s9400" xml:space="preserve">Roy. </s>
            <s xml:id="echoid-s9401" xml:space="preserve">eſſet pes Rhenolandicus ad Pariſinum, uti
              <lb/>
            696 ad 720. </s>
            <s xml:id="echoid-s9402" xml:space="preserve">ſive 138 ad 144, vel ſecundum alios uti 139 ad 144 unde fo-
              <lb/>
            rent 29514, 2, 3. </s>
            <s xml:id="echoid-s9403" xml:space="preserve">perticæ Rhenolandicæ æquales hexapedis Pariſinis
              <lb/>
            57033. </s>
            <s xml:id="echoid-s9404" xml:space="preserve">0, 8. </s>
            <s xml:id="echoid-s9405" xml:space="preserve">& </s>
            <s xml:id="echoid-s9406" xml:space="preserve">Magnitudo Gradus unius terreſtris, a nobis deter-
              <lb/>
            minata, foret 64 hexapedis minor, quam Geometræ Galli
              <lb/>
            poſuerunt: </s>
            <s xml:id="echoid-s9407" xml:space="preserve">Accuratiſſimus Picardus determinaverat Magnitudinem
              <lb/>
            37 hexapedis minorem, nempe 57060. </s>
            <s xml:id="echoid-s9408" xml:space="preserve">hexapedarum, a cujus menſu-
              <lb/>
            ra ſuperatur iterum noſtra quantitate tantum 27 hexapedarum; </s>
            <s xml:id="echoid-s9409" xml:space="preserve">quæ
              <lb/>
            profecto admodum parva eſt diſcrepantia: </s>
            <s xml:id="echoid-s9410" xml:space="preserve">Unde concludere licebit
              <lb/>
            ex hoc conſenſu qualicunque, hodiernos Geometras non multum â
              <lb/>
            veritate aberrare; </s>
            <s xml:id="echoid-s9411" xml:space="preserve">nam abſolute hanc illamve eſſe veram Magnitu-
              <lb/>
            dinem nemo in Geometriâ practicâ verſatus affirmare audebit: </s>
            <s xml:id="echoid-s9412" xml:space="preserve">Cum
              <lb/>
            angulorum minuta ſecunda non niſi difficillime diſtinguere quea-
              <lb/>
            mus, & </s>
            <s xml:id="echoid-s9413" xml:space="preserve">ipſa Inſtrumenta, quibus utimur, utcunque accurate fabre-
              <lb/>
            facta, ſemper ab hominibus modo compoſita ſint, nec ad deſidera-
              <lb/>
            ram perfectionem unquam reducta fuerint, aut reduci poſſint, uti
              <lb/>
            ſummi artifices mecum confiteri tenebuntur: </s>
            <s xml:id="echoid-s9414" xml:space="preserve">præteribo plurima a-
              <lb/>
            lia, candorem Celeberrimorum Geometrarum Gallorum memoraſ-
              <lb/>
            ſe ſufficiet, qui definita Magnitudine Gradus Terræ, eaque compa-
              <lb/>
            rata cum Picardiana addunt: </s>
            <s xml:id="echoid-s9415" xml:space="preserve">Differentiam 37 Hexapedarum non
              <lb/>
            eſſe adeo notabilem, quin poſſit adſcribi erroribus illapſis partim in
              <lb/>
            ſuas, partim in Picardi obſervationes; </s>
            <s xml:id="echoid-s9416" xml:space="preserve">quia hic Autor fatetur, non
              <lb/>
            obſtante quâ cunque curâ adhibita, ſe non reſpondere poſſe de duo-
              <lb/>
            bus Minutis ſecundis, & </s>
            <s xml:id="echoid-s9417" xml:space="preserve">idcirco de quantitate circiter 32 hexape-
              <lb/>
            darum in quâlibet obſervatione: </s>
            <s xml:id="echoid-s9418" xml:space="preserve">Poſtquam tam propinquum con-
              <lb/>
            ſenſum inter calculum Picardi, aliorum Gallorum Geometrarum,
              <lb/>
            noſtrumque deprehenderam, in animum induxi eum cum publico
              <lb/>
            communicare, ne aliquid gloriæ Snellii, cui primæ baſeos menſu-
              <lb/>
            ram, & </s>
            <s xml:id="echoid-s9419" xml:space="preserve">aliquantum hujus ſupputationis debemus. </s>
            <s xml:id="echoid-s9420" xml:space="preserve">decedat: </s>
            <s xml:id="echoid-s9421" xml:space="preserve">integrum
              <lb/>
            interea ſit unicuique Picardianam, Gallicanam, aut hanc Snel-
              <lb/>
            lianam eligere menſuram, quæcunque enim eligetur, veritati pro-
              <lb/>
            xima erit.</s>
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        <div xml:id="echoid-div339" type="section" level="1" n="339">
          <head xml:id="echoid-head445" xml:space="preserve">FINIS.</head>
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