Newton, Isaac, Philosophia naturalis principia mathematica, 1713

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                    <pb xlink:href="039/01/371.jpg" pagenum="343"/>
                  (per Prop. </s>
                  <s>XLI. & XLII.) conſiſtere nequit. </s>
                  <s>Soni vero propterea
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                    <arrow.to.target n="note351"/>
                  quod a corporibus tremulis oriantur, nihil aliud ſunt quam aeris
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                  pulſus propagati, per Prop. </s>
                  <s>XLIII. </s>
                  <s>Confirmatur id ex tremoribus
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                  quos excitant in corporibus objectis, ſi modo vehementes ſint &
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                  graves, quales ſunt ſoni Tympanorum. </s>
                  <s>Nam tremores celeriores
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                  & breviores difficilius excitantur. </s>
                  <s>Sed & ſonos quoſvis, in chor­
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                  das corporibus ſonoris uniſonas impactos, exeſtare tremores notiſ­
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                  ſimum eſt. </s>
                  <s>Confirmatur etiam ex velocitate ſonorum. </s>
                  <s>Nam cum
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                  pondera ſpecifica Aquæ pluvialis & Argenti vivi ſint ad invicem
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                  ut 1 ad 13 2/3 circiter, & ubi Mercurius in
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                  Barometro
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                  altitudinem
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                  attingit digitorum
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                  Anglieorum
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                  30, pondus ſpecificum Aeris &
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                  aquæ pluvialis ſint ad invicem ut 1 ad 870 circiter: erunt pon­
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                  dera ſpecifica aeris & argenti vivi ut 1 ad 11890. Proinde cum
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                  altitudo argenti vivi ſit 30 digitorum, altitudo aeris uniformis,
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                  cujus pondus aerem noſtrum ſubjectum comprimere poſſet, erit
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                  356700 digitorum, ſeu pedum
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                  Anglieorum
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                  29725. Eſtque hæc
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                  altitudo illa ipſa quam in conſtructione ſuperioris Problematis no­
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                  minavimus A. </s>
                  <s>Circuli radio 29725 pedum deſcripti circumferen­
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                  tia eſt pedum 186768. Et cum Pendulum digitos 39 1/5 longum,
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                  oſcillationem ex itu & reditu compoſitam, tempore minutorum
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                  duorum ſecundorum, uti notum eſt, abſolvat; Pendulum pedes
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                  29725, ſeu digitos 356700 longum, oſcillationem conſimilem tem­
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                  pore minutorum ſecundorum 190 3/4 abſolvere debebit. </s>
                  <s>Eo igitur
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                  tempore ſonus progrediendo conſiciet pedes 186768, adeoque
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                  tempore minuti unius ſecundi pedes 979. </s>
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                  <s>
                    <margin.target id="note351"/>
                  LIBER
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                  SECUNDUS.</s>
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                  <s>Cæterum in hoc computo nulla habetur ratio craſſitudinis ſoli­
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                  darum particularum aeris, per quam ſonus utique propagatur in
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                  inſtanti. </s>
                  <s>Cum pondus aeris ſit ad pondus aquæ ut 1 ad 870, &
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                  ſales ſint fere duplo denſiores quam aqua; ſi particulæ aeris po­
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                  nantur eſſe ejuſdem circiter denſitatis cum particulis vel aquæ
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                  vel ſalium, & raritas aeris oriatur ab intervallis particularum:
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                  diameter particulæ aeris erit ad intervallum inter centra parti­
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                  cularum, ut 1 ad 9 vel 10 circiter, & ad intervallum inter par­
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                  ticulas ut 1 ad 8 vel 9. Proinde ad pedes 979 quos ſonus tem­
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                  pore minuti unius ſecundi juxta calculum ſuperiorem conficiet,
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                  addere licet pedes (979/9) ſeu 109 circiter, ob craſſitudinem particu­
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                  larum aeris: & ſie ſonus tempore minuti unius ſecundi conficiet
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                  pedes 1088 circiter. </s>
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                  <s>His adde quod vapores in aere latentes, cum ſint alterius ela­
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                  teris & alterius toni, vix aut ne vix quidem participant motum
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                  aeris veri quo ſoni propagantur. </s>
                  <s>His autem quieſcentibus, mo-</s>
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