Newton, Isaac, Philosophia naturalis principia mathematica, 1713

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                    <pb xlink:href="039/01/406.jpg" pagenum="378"/>
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                    <arrow.to.target n="note384"/>
                  aſcenſu ſuo ad æquatorem diametros adaugebit, axem vero de­
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                  ſcenſu ſuo ad polos diminuet. </s>
                  <s>Sic Jovis diameter (conſentienti­
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                  bus Aſtronomorum obſervationibus) brevior deprehenditur inter
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                  polos quam ab oriente in occidentem. </s>
                  <s>Eodem argumento, niſi
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                  Terra noſtra paulo altior eſſet ſub æquatore quam ad polos, Ma­
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                  ria ad polos ſubſiderent, & juxta æquatorem aſcendendo, ibi om­
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                  nia inundarent.
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                  PROPOSITIO XIX. PROBLEMA III.
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                    <emph type="italics"/>
                  Invenire proportionem axis Planetæ ad diametros eidem
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                  perpendiculares.
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                  <s>
                    <margin.target id="note384"/>
                  DE MUNDI
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                  SYSTEMATE</s>
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                <p type="main">
                  <s>
                    <emph type="italics"/>
                  Picartus
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                  menſurando arcum gradus unius & 22′. 55″ inter
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                    <emph type="italics"/>
                  Ambianum
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                  &
                    <emph type="italics"/>
                  Malvoiſinam,
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                  invenit arcum gradus unius eſſe hexa­
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                  pedarum Pariſienſium 57060. Unde ambitus Terræ eſt pedum
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                  Pariſienſium 123249600, ut ſupra. </s>
                  <s>Sed cum error quadringente­
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                  ſimæ partis digiti, tam in fabrica inſtrumentorum quam in ap­
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                  plicatione eorum ad obſervationes capiendas, ſit inſenſibilis, &
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                  in Sectore decempedali quo
                    <emph type="italics"/>
                  Galli
                    <emph.end type="italics"/>
                  obſervarunt Latitudines loco­
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                  rum reſpondeat minutis quatuor ſecundis, & in ſingulis obſerva­
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                  tionibus incidere poſſit tam ad centrum Sectoris quam ad ejus
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                  circumferentiam, & errores in minoribus ar­
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                  cubus ſint majoris momenti:
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                  ideo
                    <emph type="italics"/>
                  Caſſinus
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                  juſſu Regio menſuram Terræ per majora loco­
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                  rum intervalla aggreſſus eſt, & ſubinde per
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                  diſtantiam inter Obſervatorium Regium
                    <emph type="italics"/>
                  Pariſienſe
                    <emph.end type="italics"/>
                  & villam
                    <emph type="italics"/>
                  Coli­
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                  oure
                    <emph.end type="italics"/>
                  in
                    <emph type="italics"/>
                  Rouſſillon
                    <emph.end type="italics"/>
                  & Latitudinum differentiam 6
                    <emph type="sup"/>
                  gr.
                    <emph.end type="sup"/>
                  18′, ſuppo­
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                  nendo quod figura Terræ ſit Sphærica, invenit gradum unum eſſe
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                  hexapedarum 57292, prope ut
                    <emph type="italics"/>
                  Norwoodus
                    <emph.end type="italics"/>
                  noſter antea invenerat.
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                  Hic enim circa annum 1635, menſurando diſtantiam pedum Lon­
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                  dinenſium 905751 inter
                    <emph type="italics"/>
                  Londinum
                    <emph.end type="italics"/>
                  &
                    <emph type="italics"/>
                  Eboracum,
                    <emph.end type="italics"/>
                  & obſervando
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                  differentiam Latitudinum 2
                    <emph type="sup"/>
                  gr.
                    <emph.end type="sup"/>
                  28′, collegit menſuram gradus unius
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                  eſſe pedum Londinenſium 367196, id eſt, hexapedarum Pariſien­
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                  ſium 57300. Ob magnitudinem intervalli a
                    <emph type="italics"/>
                  Caſſino
                    <emph.end type="italics"/>
                  monſurati, pro
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                  menſura gradus unius in medio intervalli illius, id eſt, inter La­
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                  titudines 45
                    <emph type="sup"/>
                  gr.
                    <emph.end type="sup"/>
                  & 46
                    <emph type="sup"/>
                  gr.
                    <emph.end type="sup"/>
                  uſurpabo hexapedas 57292. Unde, ſi
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                  Terra ſit Sphærica, ſemidiameter ejus erit pedum Pariſienſium
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                  19695539.
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                  </s>
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