Newton, Isaac, Philosophia naturalis principia mathematica, 1713

Table of figures

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                  ctionibus diſtinguet Radium
                    <emph type="italics"/>
                  AS
                    <emph.end type="italics"/>
                  in partes
                    <emph type="italics"/>
                  AS, BS, CS, DS,
                    <emph.end type="italics"/>
                  &c.
                    <lb/>
                    <arrow.to.target n="note233"/>
                  continue proportionales. </s>
                  <s>Revolutionum vero tempora erunt ut
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                    <figure id="id.039.01.285.1.jpg" xlink:href="039/01/285/1.jpg" number="167"/>
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                  perimetri Orbitarum
                    <emph type="italics"/>
                  AEB, BFC, CGD,
                    <emph.end type="italics"/>
                  &c. </s>
                  <s>directe, & veloci­
                    <lb/>
                  tates in principiis
                    <emph type="italics"/>
                  A, B, C,
                    <emph.end type="italics"/>
                  inverſe; id eſt, ut
                    <emph type="italics"/>
                  AS
                    <emph.end type="italics"/>
                    <emph type="sup"/>
                  1/2
                    <emph.end type="sup"/>
                  ,
                    <emph type="italics"/>
                  BS
                    <emph.end type="italics"/>
                    <emph type="sup"/>
                  1/2
                    <emph.end type="sup"/>
                  ,
                    <emph type="italics"/>
                  CS
                    <emph.end type="italics"/>
                    <emph type="sup"/>
                  1/2
                    <emph.end type="sup"/>
                  . </s>
                  <s>At­
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                  que tempus totum, quo corpus perveniet ad centrum, erit ad tem­
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                  pus revolutionis primæ, ut ſumma omnium continue proportiona­
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                  lium
                    <emph type="italics"/>
                  AS
                    <emph.end type="italics"/>
                    <emph type="sup"/>
                  1/2
                    <emph.end type="sup"/>
                  ,
                    <emph type="italics"/>
                  BS
                    <emph.end type="italics"/>
                    <emph type="sup"/>
                  1/2
                    <emph.end type="sup"/>
                  ,
                    <emph type="italics"/>
                  CS
                    <emph.end type="italics"/>
                    <emph type="sup"/>
                  1/2
                    <emph.end type="sup"/>
                  pergentium in infinitum, ad terminum pri­
                    <lb/>
                  mum
                    <emph type="italics"/>
                  AS
                    <emph.end type="italics"/>
                    <emph type="sup"/>
                  1/2
                    <emph.end type="sup"/>
                  ; id eſt, ut terminus ille primus
                    <emph type="italics"/>
                  AS
                    <emph.end type="italics"/>
                    <emph type="sup"/>
                  1/2
                    <emph.end type="sup"/>
                  ad differentiam du­
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                  orum primorum
                    <emph type="italics"/>
                  AS
                    <emph.end type="italics"/>
                    <emph type="sup"/>
                  1/2
                    <emph.end type="sup"/>
                  -
                    <emph type="italics"/>
                  BS
                    <emph.end type="italics"/>
                    <emph type="sup"/>
                  1/2
                    <emph.end type="sup"/>
                  , ſive ut 2/3
                    <emph type="italics"/>
                  AS
                    <emph.end type="italics"/>
                  ad
                    <emph type="italics"/>
                  AB
                    <emph.end type="italics"/>
                  quam proxime. </s>
                  <s>
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                  Unde tempus illud totum expedite invenitur. </s>
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                <p type="margin">
                  <s>
                    <margin.target id="note233"/>
                  LIBER
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                  SECUNDUS.</s>
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                <p type="main">
                  <s>
                    <emph type="italics"/>
                  Corol.
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                  8. Ex his etiam præter propter colligere licet motus cor­
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                  porum in Mediis, quorum denſitas aut uniformis eſt, aut aliam
                    <lb/>
                  quamcunque legem aſſignatam obſervat. </s>
                  <s>Centro
                    <emph type="italics"/>
                  S,
                    <emph.end type="italics"/>
                  intervallis con­
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                  tinue proportionalibus
                    <emph type="italics"/>
                  SA, SB, SC,
                    <emph.end type="italics"/>
                  &c. </s>
                  <s>deſcribe Circulos quot­
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                  cunque, & ſtatue tempus revolutionum inter perimetros duorum
                    <lb/>
                  quorumvis ex his Circulis, in Medio de quo egimus, eſſe ad tempus
                    <lb/>
                  revolutionum inter eoſdem in Medio propoſito, ut Medii propo­
                    <lb/>
                  ſiti denſitas mediocris inter hos Circulos ad Medii, de quo egimus,
                    <lb/>
                  denſitatem mediocrem inter eoſdem quam proxime: Sed & in ea­
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                  dem quoque ratione eſſe Secantem anguli quo Spiralis præfinita,
                    <lb/>
                  in Medio de quo egimus, ſecat radium
                    <emph type="italics"/>
                  AS,
                    <emph.end type="italics"/>
                  ad Secantem anguli </s>
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