# Catalogue Entry: NATP00222

## Newton's Waste Book (Part 3)

Source: MS Add. 4004, ff. 50v-198v, Cambridge University Library, Cambridge, UK

[Editorial Note 1] Newton numbered the first two paragraphs to indicate their order within the text. These paragraphs have been moved in our transcription according to Newton's numbering.

[1]

[2] November 8th 1665.

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[21] May. 1665.

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[24] November the 13th

[25] {To} find the velocitys of bodys by the lines they de{scr}ibe.

[26]

[27]

[28] Of tangents to Geometricall lines.

[29]

[30]

[31] Of tangents to Mechanicall lines.

[32] Of the crookednesse of Geometricall lines.

[33]

[34] May 30th 1665

[35] The resolution of plaine problems by the Circle.

[36]

[37]

[38] The construction of sollid — & Linear Problems

[39]

[40] A Generall rule wherby any Probleme may bee resolved.

[41] By what lines a Problem may bee resolved.

[42] In how many points two lines may intersect.

[43] How by the Parabola plaine problems are resolved.

[44] How sollid ones.

[45]

[46]

[47] Constructions performed by a Parabola of the 2d kind. x=y3

[48]

[49]

[50]

[Editorial Note 2] Written upside down at the bottom of the page.

[51] † juxta proxima præce{illeg}us, erit VF−2gT {ad} VF+2TV {ut} sinus refrationis ad sinum inciden{tiæ}.

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[58] {illeg} equall, otherwise {illeg} they differ by {illeg} 5 let the differen{ce} of the numbers be {illeg} R & the {illeg} tenth part of their Summ S.

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[78] {illeg} Jan: 6. 5hor. 34′

[79] {Decem} 1st Epist. 2)

[80] ✝ 9?

[81] Nota. distantia Cometæ {illeg} stella B Feb 7 juxta Hookium fuit $\frac{1}{15}$ pars distantiæ primæ et {Sedæ} Arietis id, est {5}′ 12″ seu $\frac{93}{15}$. Situs autem erat cometa in medio inter stellas B et C.

[82] ‡ Hookius facit distntiam duabus minutis

[83]

[85]

[86] II Quantitates positivæ et subductitiæ cum earum notis

[87] III Quantitates im{p}ossibiles.

[88] IV Quibus lineijs problemata solvuntur{.}

[89] V Ordines Linearum.

[90] Modus exprimendi lineas

[91] Locus linearis puncti vagi.

[92] Curvarum proprietates generales.

[93] Tangentes ad Curvas descriptas ducere.

[94] De cruribus infinitis et Asymptotis curvarum.

[95] Quomodo curare in species distinguendæ

[96] De curvarum tangentibus

[97] Notarum quarundam explicatio.

[98] Fluxiones quantitatum.

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[104] Exempla prima

[105] The contents of this note are only visible in the diplomatic transcript because they were deleted on the original manuscript

[Editorial Note 3] This edit was later made to the text on f. 130r by Newton.

[106] Exemplum in {lineis} tertij ordi{s}.

[107] Species Linearum ejusdem Generis.

[108] Exemplum in lineis secundi ac tertij ordinis.

[109] The contents of this note are only visible in the diplomatic transcript because they were deleted on the original manuscript

[110]

[111]

[112] a 8. Dat.

[113] b 5 Dat

[114] a 8 Dat

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[117] a 30 Dat

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[Editorial Note 4] The following paragraph is written upsidedown at the bottom of the page

[Editorial Note 5] The following paragraph is written upsidedown at the bottom of the page