Newton, Isaac, Philosophia naturalis principia mathematica, 1713

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                <p type="main">
                  <s>
                    <pb xlink:href="039/01/375.jpg" pagenum="347"/>
                  tionum tempora ut ipſorum ſemidiametri, & perſeveret fluidi pars
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                    <arrow.to.target n="note355"/>
                  unaquæQ.E.I. motu ſuo: erunt partium ſingularum tempora peri­
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                  odica ut ipſarum diſtantiæ ab axe cylindrorum. </s>
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                  LIBER
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                  SECUNDUS.</s>
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                <p type="main">
                  <s>
                    <emph type="italics"/>
                  Corol.
                    <emph.end type="italics"/>
                  3. Si cylindro & fluido ad hunc modum motis addatur
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                  vel auferatur communis quilibet motus angularis; quoniam hoc
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                  novo motu non mutatur attritus mutuus partium fluidi, non mu­
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                  tabuntur motus partium inter ſe. </s>
                  <s>Nam tranſlationes partium ab
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                  invicem pendent ab attritu. </s>
                  <s>Pars quælibet in eo perſeverabit
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                  motu, qui, attritu utrinQ.E.I. contrarias partes facto, non magis
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                  acceleratur quam retardatur. </s>
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                <p type="main">
                  <s>
                    <emph type="italics"/>
                  Corol.
                    <emph.end type="italics"/>
                  4. Unde ſi toti cylindrorum & fluidi Syſtemati auferatur
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                  motus omnis angularis cylindri exterioris, habebitur motus fluidi
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                  in cylindro quieſcente. </s>
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                <p type="main">
                  <s>
                    <emph type="italics"/>
                  Corol.
                    <emph.end type="italics"/>
                  5. Igitur ſi fluido & cylindro exteriore quieſcentibus, re­
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                  volvatur cylindrus interior uniformiter; communicabitur motus
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                  circularis fluido, & paulatim per totum fluidum propagabitur;
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                  nec prius deſinet augeri quam fluidi partes ſingulæ motum Corol­
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                  lario quarto definitum acquirant. </s>
                </p>
                <p type="main">
                  <s>
                    <emph type="italics"/>
                  Corol.
                    <emph.end type="italics"/>
                  6. Et quoniam fluidum conatur motum ſuum adhuc latius
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                  propagare, hujus impetu circumagetur etiam cylindrus exterior
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                  niſi violenter detentus; & accelerabitur ejus motus quoad uſque
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                  tempora periodica cylindri utriuſque æquentur inter ſe. </s>
                  <s>Quod ſi
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                  cylindrus exterior violenter detineatur, conabitur is motum fluidi
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                  retardare; & niſi cylindrus interior vi aliqua extrinſecus impreſſa
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                  motum illum conſervet, efficiet ut idem paulatim ceſſet. </s>
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                <p type="main">
                  <s>Quæ omnia in Aqua profunda ſtagnante experiri licet. </s>
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                <p type="main">
                  <s>
                    <emph type="center"/>
                  PROPOSITIO LII. THEOREMA XL.
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                  </s>
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                  <s>
                    <emph type="italics"/>
                  Si Sphæra ſolida, in Fluido uniformi & infinito, circa axem poſi­
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                  tione datum uniformi cum motu revolvatur, & ab hujus im­
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                  pulſu ſolo agatur Fluidum in orbem; perſeveret autem Fluidi
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                  pars unaquæque uniformiter in motu ſuo: dico quod tem­
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                  pora periodica partium Fluidi erunt ut quadrata diſtantiarum
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                  à centro Sphæræ.
                    <emph.end type="italics"/>
                  </s>
                </p>
                <p type="main">
                  <s>
                    <emph type="italics"/>
                  Cas.
                    <emph.end type="italics"/>
                  1. Sit
                    <emph type="italics"/>
                  AFL
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                  Sphæra uniformiter circa axem
                    <emph type="italics"/>
                  S
                    <emph.end type="italics"/>
                  in orbem
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                  acta, & circulis concentricis
                    <emph type="italics"/>
                  BGM, CHN, DIO, EKP,
                    <emph.end type="italics"/>
                  &c. </s>
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        </body>
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