Newton, Isaac, Philosophia naturalis principia mathematica, 1713

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                  <s>
                    <pb xlink:href="039/01/455.jpg" pagenum="427"/>
                  tudo Aquæ ſub Æquatore ſuperet ejus altitudinem ſub Polis men­
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                    <arrow.to.target n="note456"/>
                  ſura pedum Pariſienſium 85820; vis Solaris de qua egimus, cum
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                  ſit ad vim gravitatis ut 1 ad 12868200, atque adeo ad vim illam
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                  centrifugam ut 289 ad 12868200 ſeu 1 ad 44527, efficiet ut al­
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                  titudo Aquæ in regionibus ſub Sole & Soli oppoſitis, ſuperet alti­
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                  tudinem ejus in locis quæ 90 gradibus diſtant a Sole, menſura
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                  tantum pedis unius Pariſienſis & digitorum undecim cum octava
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                  parte digiti. </s>
                  <s>Eſt enim hæc menſura ad menſuram pedum 85820
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                  ut 1 ad 44527. </s>
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                  LIBER
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                  TERTIUS.</s>
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                <p type="main">
                  <s>
                    <emph type="center"/>
                  PROPOSITIO XXXVII. PROBLEMA XVIII.
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                  </s>
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                <p type="main">
                  <s>
                    <emph type="center"/>
                    <emph type="italics"/>
                  Invenire vim Lunæ ad Mare movendum.
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                    <emph.end type="center"/>
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                <p type="main">
                  <s>Vis Lunæ ad Mare movendum colligendà eſt ex ejus propor­
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                  tione ad vim Solis, & hæc proportio colligenda eſt ex propor­
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                  tione motuum Maris, qui ab his viribus oriuntur. </s>
                  <s>Ante oſtium
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                  fluvii
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                  Avonæ
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                  ad lapidem tertium infra
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                  Briſtoliam,
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                  tempore verno
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                  & autumnali totus Aquæ aſcenſus in Conjunctione & Oppoſitione
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                  Luminarium (obſervante
                    <emph type="italics"/>
                  Samuele Sturmio
                    <emph.end type="italics"/>
                  ) eſt pedum plus mi­
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                  nus 45, in Quadraturis autem eſt pedum tantum 25. Altitudo
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                  prior ex ſumma virium, poſterior ex earundem differentia oritur. </s>
                  <s>
                    <lb/>
                  Solis igitur & Lunæ in Æquatore verſantium & mediocriter a
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                  Terra diſtantium ſunto vires S & L, & erit L+S ad L-S ut
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                  45 ad 25, ſeu 9 ad 5. </s>
                </p>
                <p type="main">
                  <s>In portu
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                  Plymuthi
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                  Æſtus maris (ex obſervatione
                    <emph type="italics"/>
                  Samuelis Cole­
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                  preſſi
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                  ) ad pedes plus minus ſexdecim altitudine mediocri attolli­
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                  tur, ac tempore verno & autumnali altitudo Æſtus in Syzygiis ſu­
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                  perare poteſt altitudinem ejus in Quadraturis, pedibus plus ſeptem
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                  vel octo. </s>
                  <s>Si maxima harum altitudinum differentia ſit pedum no­
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                  vem, erit L+S ad L-S ut 20 1/2 ad 11 1/2 ſeu 41 ad 23. Quæ
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                  proportio ſatis congruit cum priore. </s>
                  <s>Ob magnitudinem Æſtus in
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                  portu
                    <emph type="italics"/>
                  Biſtoliæ,
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                  obſervationibus
                    <emph type="italics"/>
                  Sturmii
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                  magis fidendum eſſe vi­
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                  detur, ideoQ.E.D.nec aliquid certius conſtiterit, proportionem 9
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                  ad 5 uſurpabimus. </s>
                </p>
                <p type="main">
                  <s>Cæterum ob aquarum reciprocos motus, Æſtus maximi non in­
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                  cidunt in ipſas Luminarium Syzygias, ſed ſunt tertii a Syzygiis
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                  ut dictum fuit, ſeu proxime ſequuntur tertium Lunæ poſt Syzy­
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                  gias appulſum ad meridianum loci, vel potius (ut a
                    <emph type="italics"/>
                  Sturmio
                    <emph.end type="italics"/>
                  no­
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                  tatur) ſunt tertii poſt diem novilunii vel plenilunii, ſeu poſt ho-</s>
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