Newton, Isaac, Philosophia naturalis principia mathematica, 1713

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1inventa inſuper longitudine MP; in tBcapiatur punctum b,
ea lege, ut ſi TA, τCſe mutuo ſecuerint in Y,ſit diſtantia Yb
ad diſtantiam YB,in ratione compoſita ex ratione MPad MN
& ratione ſubduplicata SBad Sb.Et eadem methodo inveNI­
endum erit punctum tertium β, ſi modo operationem tertio repe­
tere lubet.
Sed hac methodo operationes duæ ut plurimum ſuf­
fecerint.
Nam ſi diſtantia Bbperexigua obvenerit; poſtquam
inventa ſunt puncta F, f& G, g,actæ rectæ Ff& Ggſecabunt
TA& τCin punctis quæſitis X& Z.
LIBER
TERTIUS.
Exemplum.
Proponatur Cometa anni 1680. Hujus motum a Flamſtedio
obſervatum Tabula ſequens exhibet.
Tem.appar.Temp. verumLong. SolisLong. CometæLat. Cometæh.′h.′″gr.′″gr.′″gr.′″1680 Dec.124.464.46.0 1.51.23 6.31.218.26.0216.32 1/26.36.5911.6.44 5.7.3821.45.30246.126.17.5214.9.2618.49.1025.23.24265.145.20.4416.9.2228.24.627.0.57297.558.3.219.19.43 13.11.4528.10.5308.28.10.2620.21.917.39.528.11.121681 Jan.55.516.1.3826.22.18 8.49.1026.15.2696.497.0.53 0.29.218.43.1824.12.42105.546.6.101.27.4320.40.5723.44.0136.567.8.554.33.2025.59.3422.17.36257.447.58.4216.45.36 9.35.4817.56.54308.78.21.5321.40.5813.19.3616.40.57Feb.26.206.34.5124.46.5915.13.4816.2.256.507.4.4127.49.5116.59.5215.27.23
His adde Obſervationes quaſdam e noſtris.
Temp. appar.Cometæ Longit.Com. Lat.Febr.258h.30′ 26gr..18′.17″12gr..46′ 7/8278.1527.4.2412.36 1/5Mart.111.027.53.612.24 6/728.028.12.2712.20511.3029.20.5112.3 1/298.30 0.43.411.45 7/8
Hæ Obſervationes Teleſcopio ſeptupedali, & Micrometro filiſ­
Q.E.I. ſoco Teleſcopii locatis peractæ ſunt: quibus inſtrumentis

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