Newton, Isaac, Philosophia naturalis principia mathematica, 1713

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                  LIBER
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                  SECUNDUS.</s>
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                  PROPOSITIO XXII. THEOREMA XVII.
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                  Sit Fluidi cujuſdam denſitas compreſſioni proportionalis, & partes
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                  ejus a gravitate quadratis diſtantiarum ſuarum a centro reci­
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                  proce proportionali deorſum trabantur: dico quod, ſi diſtantiæ
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                  ſumantur in progreſſione Muſica, denſitates Fluidi in bis di­
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                  ſtantiis erunt in progreſſione Geometrica.
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                <p type="main">
                  <s>Deſignet
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                  S
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                  centrum, &
                    <emph type="italics"/>
                  SA, SB, SC, SD, SE
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                  diſtantias in pro­
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                  greſſione Geometrica. </s>
                  <s>Erigantur perpendicula
                    <emph type="italics"/>
                  AH, BI, CK,
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                  &c. </s>
                  <s>
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                  quæ ſint ut Fluidi denſitates in locis
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                  A, B, C, D, E,
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                  &c. </s>
                  <s>& ipſius
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                  gravitates ſpecificæ in iiſdem locis erunt
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                  (AH/SAq), (BI/SBq), (CK/SCq),
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                  &c. </s>
                  <s>Fin­
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                  ge has gravitates uniformiter continuari, primam ab
                    <emph type="italics"/>
                  A
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                  ad
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                  B,
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                  ſe­
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                  cundam a
                    <emph type="italics"/>
                  B
                    <emph.end type="italics"/>
                  ad
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                  C,
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                  tertiam a
                    <emph type="italics"/>
                  C
                    <emph.end type="italics"/>
                  ad
                    <emph type="italics"/>
                  D,
                    <emph.end type="italics"/>
                  &c. </s>
                  <s>Et hæ ductæ in altitu­
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                  dines
                    <emph type="italics"/>
                  AB, BC, CD, DE,
                    <emph.end type="italics"/>
                  &c. </s>
                  <s>vel, quod perinde eſt, in diſtantias
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                    <emph type="italics"/>
                  SA, SB, SC,
                    <emph.end type="italics"/>
                  &c. </s>
                  <s>altitudinibus illis proportionales, conficient ex­
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                  ponentes preſſionum
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                  (AH/SA), (BI/SB), (CK/SC),
                    <emph.end type="italics"/>
                  &c. </s>
                  <s>Quare cum denſitates
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                  ſint ut harum preſſionum ſummæ, differentiæ denſitatum
                    <emph type="italics"/>
                  AH-BI,
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                  BI-CK,
                    <emph.end type="italics"/>
                  &c. </s>
                  <s>erunt ut ſummarum differentiæ
                    <emph type="italics"/>
                  (AH/SA), (BI/SB), (CK/SC),
                    <emph.end type="italics"/>
                  &c. </s>
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