Newton, Isaac, Philosophia naturalis principia mathematica, 1713

Table of figures

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                  <s>
                    <pb xlink:href="039/01/319.jpg" pagenum="291"/>
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                  pluſquam duplicata. </s>
                  <s>Ejus rei cauſam inveſtigando, in hanc in­
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                    <arrow.to.target n="note267"/>
                  cidi, quod Arca nimis anguſta eſſet pro magnitudine Globi pen­
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                  duli, & motum aquæ cedentis præ anguſtia ſua nimis impedie­
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                  bat. </s>
                  <s>Nam ſi Globus pendulus, cujus diameter erat digiti u­
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                  nius, immergeretur; reſiſtentia augebatur in duplicata ratione ve­
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                  locitatis quam proxime. </s>
                  <s>Id tentabam conſtruendo pendulum ex
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                  Globis duobus, quorum inferior & minor oſcillaretur in aqua, ſu­
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                  perior & major proxime ſupra aquam filo affixus eſſet, & in Aere
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                  oſcillando, adjuvaret motum penduli eumQ.E.D.uturniorem redde­
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                  ret. </s>
                  <s>Experimenta autem hoc modo inſtituta ſe habebant ut in Ta­
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                  bula ſequente deſcribitur.
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                  </s>
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                <table>
                  <row>
                    <cell>
                      <emph type="italics"/>
                    Arcus deſcenſu primo deſcriptus
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                    </cell>
                    <cell>16</cell>
                    <cell>8</cell>
                    <cell>4</cell>
                    <cell>2</cell>
                    <cell>1</cell>
                    <cell>1/2</cell>
                    <cell>1/4</cell>
                  </row>
                  <row>
                    <cell>
                      <emph type="italics"/>
                    Arcus aſcenſu ultimo deſcriptus
                      <emph.end type="italics"/>
                    </cell>
                    <cell>12</cell>
                    <cell>6</cell>
                    <cell>3</cell>
                    <cell>1 1/2</cell>
                    <cell>1/4</cell>
                    <cell>1/8</cell>
                    <cell>(1/16)</cell>
                  </row>
                  <row>
                    <cell>
                      <emph type="italics"/>
                    Arcuum diff. motui amiſſo proport.
                      <emph.end type="italics"/>
                    </cell>
                    <cell>4</cell>
                    <cell>2</cell>
                    <cell>1</cell>
                    <cell>1/2</cell>
                    <cell>1/4</cell>
                    <cell>1/8</cell>
                    <cell>(1/16)</cell>
                  </row>
                  <row>
                    <cell>
                      <emph type="italics"/>
                    Numerus Oſcillationum
                      <emph.end type="italics"/>
                    </cell>
                    <cell>3 1/8</cell>
                    <cell>6 1/2</cell>
                    <cell>(12 1/12)</cell>
                    <cell>21 1/5</cell>
                    <cell>34</cell>
                    <cell>53</cell>
                    <cell>62 1/5</cell>
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                <p type="margin">
                  <s>
                    <margin.target id="note267"/>
                  LIBER
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                  SECUNDUS.</s>
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                <p type="main">
                  <s>Conferendo reſiſtentias Mediorum inter ſe, effeci etiam ut pen­
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                  dula ferrea oſcillarentur in argento vivo. </s>
                  <s>Longitudo fili ferrei erat
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                  pedum quaſi trium, & diameter Globi penduli quaſi tertia pars di­
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                  giti. </s>
                  <s>Ad filum autem proxime ſupra Mercurium affixus erat Glo­
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                  bus alius plumbeus ſatis magnus ad motum penduli diutius conti­
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                  nuandum. </s>
                  <s>Tum vaſculum, quod capiebat quaſi libras tres argenti
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                  vivi, implebam vicibus alternis argento vivo & aqua communi, ut
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                  pendulo in Fluido utroque ſucceſſive oſcillante, invenirem propor­
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                  tionem reſiſtentiarum: & prodiit reſiſtentia argenti vivi ad reſi­
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                  ſtentiam aquæ, ut 13 vel 14 ad 1 circiter: id eſt, ut denſitas argen­
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                  ti vivi ad denſitatem aquæ. Ubi Globum pendulum paulo majo­
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                  rem adhibebam, puta cujus diameter eſſet quaſi 1/3 vel 2/3 partes di­
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                  giti, prodibat reſiſtentia argenti vivi in ea ratione ad reſiſtentiam
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                  aquæ quam habet numerus 12 vel 10 ad 1 circiter. </s>
                  <s>Sed experi­
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                  mento priori magis fidendum eſt, propterea quod in his ultimis
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                  Vas nimis anguſtum fuit pro magnitudine Globi immerſi. </s>
                  <s>Am­
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                  pliato Globo, deberet etiam Vas ampliari. </s>
                  <s>Conſtitueram quidem
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                  hujuſmodi experimenta in vaſis majoribus & in liquoribus tum
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                  Metallorum fuſorum, tum aliis quibuſdam tam calidis quam fri­
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                  gidis repetere: ſed omnia experiri non vacat, & ex jam deſcriptis
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                  ſatis liquet reſiſtentiam corporum celeriter motorum denſitati Flu­
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                  idorum in quibus moventur proportionalem eſſe quam proxime.
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                  Non dico accurate. </s>
                  <s>Nam Fluida tenaciora, pari denſitate, procul-</s>
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