Newton, Isaac, Philosophia naturalis principia mathematica, 1713
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                  ſtentia in arcu B eſſet ad reſiſtentiam in arcu A ut AB ad AA;
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                  tempora in arcubus A & B forent æqualia, per Propoſitionem ſu­
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                  periorem. </s>
                  <s>Ideoque reſiſtentia AA in arcu A, vel AB in arcu B,
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                  efficit exceſſum temporis in arcu A ſupra tempus in Medio non
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                  reſiſtente; & reſiſtentia BB efficit exceſſum temporis in arcu B
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                  ſupra tempus in Medio non reſiſtente. </s>
                  <s>Sunt autem exceſſus illi
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                  ut vires efficientes AB & BB quam proxime, id eſt, ut arcus
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                  A & B.
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                    <expan abbr="q.">que</expan>
                  E. D.
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                  DE MOTU
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                  CORPORUM</s>
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                  Corol.
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                  1. Hinc ex oſcillationum temporibus, in Medio reſiſtente,
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                  in arcubus inæqualibus factarum, cognoſci poſſunt tempora oſcilla­
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                  tionum in ejuſdem gravitatis ſpecificæ Medio non reſiſtente. </s>
                  <s>Nam
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                  differentia temporum erit ad exceſſum temporis in arcu minore ſu­
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                  pra tempus in Medio non reſiſtente, ut differentia arcuum ad ar­
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                  cum minorem. </s>
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                  Corol.
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                  2. Oſcillationes breviores ſunt magis Iſochronæ, & bre­
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                  viſſimæ iiſdem temporibus peraguntur ac in Medio non reſiſtente,
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                  quam proxime. </s>
                  <s>Earum vero quæ in majoribus arcubus fiunt, tem­
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                  ra ſunt paulo majora, propterea quod reſiſtentia in deſcenſu cor­
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                  poris qua tempus producitur, major ſit pro ratione longitudinis
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                  in deſcenſu deſcriptæ, quam reſiſtentia in aſcenſu, ſubſequente qua
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                  tempus contrahitur. </s>
                  <s>Sed & tempus oſcillationum tam brevium
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                  quam longarum nonnihil produci videtur per motum Medii. </s>
                  <s>Nam
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                  corporibus tardeſcentibus paulo minus reſiſtitur, pro ratione velo­
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                  citatis, & corporibus acceleratis paulo magis quam iis quæ unifor­
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                  miter progrediuntur: id adeo quia Medium, eo quem a corporibus
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                  accepit motu, in eandem plagam pergendo, in priore caſu magis
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                  agitatur, in poſteriore minus; ac proinde magis vel minus cum
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                  corporibus motis conſpirat. </s>
                  <s>Pendulis igitur in deſcenſu magis re­
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                  ſiſtit, in aſcenſu minus quam pro ratione velocitatis, & ex utraque
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                  cauſa tempus producitur. </s>
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                  PROPOSITIO XXVIII. THEOREMA XXIII.
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                  Si Corpori Funependulo in Cycloide oſcillanti reſiſtitur in ratione
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                  momentorum temporis, erit ejus reſiſtentia ad vim gravitatis
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                  ut exceſſus arcus deſcenſu toto deſcripti ſupra arcum aſcenſu
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                  ſubſequente deſcriptum, ad penduli longitudinem duplicatam.
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                  <s>Deſignet
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                  BC
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                  arcum deſcenſu deſcriptum,
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                  Ca
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                  arcum aſcenſu de­
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                  ſcriptum, &
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                  Aa
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                  differentiam arcuum: & ſtantibus quæ in Propo-</s>
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