Newton, Isaac, Philosophia naturalis principia mathematica, 1713

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                  <s>
                    <pb xlink:href="039/01/116.jpg" pagenum="88"/>
                    <arrow.to.target n="note64"/>
                  dum Trajectoria deſcribebatur, demitte normalem
                    <emph type="italics"/>
                  OH
                    <emph.end type="italics"/>
                  Circulo oc­
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                  currentem in
                    <emph type="italics"/>
                  K
                    <emph.end type="italics"/>
                  &
                    <emph type="italics"/>
                  L.
                    <emph.end type="italics"/>
                  Et ubi crura illa altera
                    <emph type="italics"/>
                  CK, BK
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                  concur­
                    <lb/>
                  runt ad punctum illud
                    <emph type="italics"/>
                  K
                    <emph.end type="italics"/>
                  quod Regulæ propius eſt, crura prima
                    <lb/>
                    <emph type="italics"/>
                  CP, BP
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                  parallela erunt axi majori, & perpendicularia minori;
                    <lb/>
                  & contrarium eveniet ſi crura eadem concurrunt ad punctum remo­
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                  tius
                    <emph type="italics"/>
                  L.
                    <emph.end type="italics"/>
                  Unde ſi detur Trajectoriæ centrum, dabuntur axes. </s>
                  <s>Hiſce
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                  autem datis, umbilici ſunt in promptu. </s>
                </p>
                <p type="margin">
                  <s>
                    <margin.target id="note64"/>
                  DE MOTU
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                  CORPORUM</s>
                </p>
                <p type="main">
                  <s>Axium vero quadrata ſunt ad invicem ut
                    <emph type="italics"/>
                  KH
                    <emph.end type="italics"/>
                  ad
                    <emph type="italics"/>
                  LH,
                    <emph.end type="italics"/>
                  & inde
                    <lb/>
                  facile eſt Trajectoriam
                    <lb/>
                    <figure id="id.039.01.116.1.jpg" xlink:href="039/01/116/1.jpg" number="62"/>
                    <lb/>
                  ſpecie datam per data
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                  quatuor puncta deſcri­
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                  bere. </s>
                  <s>Nam ſi duo ex
                    <lb/>
                  punctis datis conſtitu­
                    <lb/>
                  antur poli
                    <emph type="italics"/>
                  C, B,
                    <emph.end type="italics"/>
                  tertium
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                  dabit angulos mobiles
                    <lb/>
                    <emph type="italics"/>
                  PCK, PBK
                    <emph.end type="italics"/>
                  ; his au­
                    <lb/>
                  tem datis deſcribi poteſt
                    <lb/>
                  Circulus
                    <emph type="italics"/>
                  IBKGC.
                    <emph.end type="italics"/>
                    <lb/>
                  Tum ob datam ſpecie
                    <lb/>
                  Trajectoriam, dabitur
                    <lb/>
                  ratio
                    <emph type="italics"/>
                  OH
                    <emph.end type="italics"/>
                  ad
                    <emph type="italics"/>
                  OK,
                    <emph.end type="italics"/>
                  ad­
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                  eoQ.E.I.ſa
                    <emph type="italics"/>
                  OH.
                    <emph.end type="italics"/>
                  Cen­
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                  tro
                    <emph type="italics"/>
                  O
                    <emph.end type="italics"/>
                  & intervallo
                    <emph type="italics"/>
                  OH
                    <emph.end type="italics"/>
                    <lb/>
                  deſcribe alium circulum,
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                  & recta quæ tangit hunc circulum, & tranſit per concurſum crurum
                    <lb/>
                    <emph type="italics"/>
                  CK, BK,
                    <emph.end type="italics"/>
                  ubi crura prima
                    <emph type="italics"/>
                  CP, BP
                    <emph.end type="italics"/>
                  concurrunt ad quartum da­
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                  tum punctum erit Regula illa
                    <emph type="italics"/>
                  MN
                    <emph.end type="italics"/>
                  cujus ope Trajectoria deſcri­
                    <lb/>
                  betur. </s>
                  <s>Unde etiam viciſſim Trapezium ſpecie datum (ſi caſus qui­
                    <lb/>
                  dam impoſſibiles excipiantur) in data quavis Sectione Conica in­
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                  ſcribi poteſt. </s>
                </p>
                <p type="main">
                  <s>Sunt & alia Lemmata quorum ope Trajectoriæ ſpecie datæ,
                    <lb/>
                  datis punctis & tangentibus, deſcribi poſſunt. </s>
                  <s>Ejus generis
                    <lb/>
                  eſt quod, ſi recta linea per punctum quodvis poſitione datum
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                  ducatur, quæ datam Coniſectionem in punctis duobus interſe­
                    <lb/>
                  cet, & interſectionum intervallum biſecetur, punctum biſectionis
                    <lb/>
                  tanget aliam Coniſectionem ejuſdem ſpeciei cum priore, atque
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                  axes habentem prioris axibus parallelos. </s>
                  <s>Sed propero ad magis
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                  utilia. </s>
                </p>
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