Newton, Isaac, Philosophia naturalis principia mathematica, 1713

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                  <s>
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                    <arrow.to.target n="note276"/>
                  axis ſui verſus
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                  D
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                  progredientium fruſtorum minime reſiſtatur: bi­
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                  ſeca altitudinem
                    <emph type="italics"/>
                  OD
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                  in
                    <emph type="italics"/>
                  Q
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                  & produc
                    <emph type="italics"/>
                  OQ
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                  ad
                    <emph type="italics"/>
                  S
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                  ut ſit
                    <emph type="italics"/>
                  QS
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                  æqua­
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                  lis
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                  QC,
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                  & erit
                    <emph type="italics"/>
                  S
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                  vertex Coni cujus fruſtum quæritur.
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                  </s>
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                <p type="margin">
                  <s>
                    <margin.target id="note276"/>
                  DE MOTU
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                  CORPORUM</s>
                </p>
                <p type="main">
                  <s>Unde obiter, cum angulus
                    <emph type="italics"/>
                  CSB
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                  ſemper ſit acutus, conſequens
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                  eſt, quod ſi ſolidum
                    <emph type="italics"/>
                  ADBE
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                  convolutione figuræ Ellipticæ vel
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                  Ovalis
                    <emph type="italics"/>
                  ADBE
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                  circa axem
                    <emph type="italics"/>
                  AB
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                  facta generetur, & tangatur figura
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                  generans à rectis tribus
                    <emph type="italics"/>
                  FG, GH, HI
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                  in punctis
                    <emph type="italics"/>
                  F, B
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                  &
                    <emph type="italics"/>
                  I,
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                  ea
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                  lege ut
                    <emph type="italics"/>
                  GH
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                  ſit perpendicularis ad axem in puncto contactus
                    <emph type="italics"/>
                  B,
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                    <lb/>
                  &
                    <emph type="italics"/>
                  FG, HI
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                  cum eadem
                    <emph type="italics"/>
                  GH
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                  contineant angulos
                    <emph type="italics"/>
                  FGB, BHI
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                    <lb/>
                  graduum 135: ſolidum, quod convolutione figuræ
                    <emph type="italics"/>
                  ADFGHIE
                    <emph.end type="italics"/>
                    <lb/>
                  circa axem eundem
                    <emph type="italics"/>
                  CB
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                  generatur, minus reſiſtitur quam ſolidum
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                  prius; ſi modo utrumque ſecundum plagam axis ſui
                    <emph type="italics"/>
                  AB
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                  progre­
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                  diatur, & utriuſque terminus
                    <emph type="italics"/>
                  B
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                  præcedat. </s>
                  <s>Quam quidem propoſi­
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                  tionem in conſtruendis Navibus non inutilem futuram eſſe cenſeo.
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                  </s>
                </p>
                <p type="main">
                  <s>Quod ſi Figura
                    <emph type="italics"/>
                  DNFG
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                    <lb/>
                  ejuſmodi ſit curva ut, ſi ab
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                    <figure id="id.039.01.328.1.jpg" xlink:href="039/01/328/1.jpg" number="183"/>
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                  ejus puncto quovis
                    <emph type="italics"/>
                  N
                    <emph.end type="italics"/>
                  ad
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                  axem
                    <emph type="italics"/>
                  AB
                    <emph.end type="italics"/>
                  demittatur per­
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                  pendiculum
                    <emph type="italics"/>
                  NM,
                    <emph.end type="italics"/>
                  & à pun­
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                  cto dato
                    <emph type="italics"/>
                  G
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                  ducatur recta
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                    <emph type="italics"/>
                  GR
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                  quæ parallela ſit rectæ
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                  figuram tangenti in
                    <emph type="italics"/>
                  N,
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                  &
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                  axem productum ſecet in
                    <lb/>
                    <emph type="italics"/>
                  R,
                    <emph.end type="italics"/>
                  fuerit
                    <emph type="italics"/>
                  MN
                    <emph.end type="italics"/>
                  ad
                    <emph type="italics"/>
                  GR
                    <emph.end type="italics"/>
                  ut
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                    <emph type="italics"/>
                  GR cub
                    <emph.end type="italics"/>
                  ad 4
                    <emph type="italics"/>
                  BRXGBq
                    <emph.end type="italics"/>
                  :
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                  Solidum quod figuræ hujus revolutione circa axem
                    <emph type="italics"/>
                  AB
                    <emph.end type="italics"/>
                  facta de­
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                  ſcribitur, in Medio raro prædicto ab
                    <emph type="italics"/>
                  A
                    <emph.end type="italics"/>
                  verſus
                    <emph type="italics"/>
                  B
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                  movendo, minus
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                  reſiſtetur quam aliud quodvis eadem longitudine & latitudine de­
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                  ſcriptum Solidum circulare.
                    <lb/>
                    <emph type="center"/>
                  PROPOSITIO XXXV. PROBLEMA VII.
                    <emph.end type="center"/>
                    <lb/>
                  </s>
                </p>
                <p type="main">
                  <s>
                    <emph type="italics"/>
                  Si Medium rarum ex particulis quam minimis quieſcentibus æqua­
                    <lb/>
                  libus & ad æquales ab invicem diſtantias libere diſpoſitis con­
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                  ſtet: invenire reſiſtentiam Globi in hoc Medio uniformitor pro­
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                  gredientis.
                    <emph.end type="italics"/>
                    <lb/>
                  </s>
                </p>
                <p type="main">
                  <s>
                    <emph type="italics"/>
                  Cas.
                    <emph.end type="italics"/>
                  1. Cylindrus eadem diametro & altitudine deſcriptus pro­
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                  gredi intelligatur eadem velocitate ſecundum longitudinem axis
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                  ſui in eodem Medio. </s>
                  <s>Et ponamus quod particulæ Medii in quas </s>
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