Catalogue Entry: NATP00222

Newton's Waste Book (Part 3)

Author: Isaac Newton

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

[Normalized Text] [Diplomatic Text] [Manuscript Images]

[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] Figure

[2] November 8th 1665.

[3] Figure

[4] Figure

[5] Figure

[6] Figure

[7] Figure

[8] Figure

[9] Figure

[10] Figure

[11] Figure

[12] Figure

[13] Figure

[14] Figure

[15] Figure

[16] Figure

[17] Figure

[18] Figure

[19] Figure

[20] Figure

[21] May. 1665.

[22] Figure

[23] Figure

[24] November the 13th

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

[26] Figure

[27] Figure

[28] Of tangents to Geometricall lines.

[29] Figure

[30] Figure

[31] Of tangents to Mechanicall lines.

[32] Of the crookednesse of Geometricall lines.

[33] Figure

[34] May 30th 1665

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

[36] Figure

[37] Figure

[38] The construction of sollid — & Linear Problems

[39] Figure

[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.
Figure

[44] How sollid ones.
Figure

[45] Figure

[46] Figure

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

[48] Figure

[49] Figure

[50] Figure

[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}.

[52] Figure

[53] Figure

[54] Figure

[55] Figure

[56] Figure

[57] Figure

[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.

[59] Figure

[60] Figure

[61] Figure

[62] Figure

[63] Figure

[64] Figure

[65] Figure

[66] Figure

[67] Figure

[68] Figure

[69] Figure

[70] Figure

[71] Figure

[72] Figure

[73] Figure

[74] Figure

[75] Figure

[76] Figure

[77] Figure

[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 115 pars distantiæ primæ et {Sedæ} Arietis id, est {5}′ 12″ seu 9315. Situs autem erat cometa in medio inter stellas B et C.

[82] ‡ Hookius facit distntiam duabus minutis

[83] Figure

[84] I Gradus Problematum:

[85] Figure

[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.

[99] Figure

[100] Figure

[101] Figure

[102] Figure

[103] Figure

[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] Figure

[111] Figure

[112] a 8. Dat.

[113] b 5 Dat

[114] a 8 Dat

[115] Figure

[116] Figure

[117] a 30 Dat

[118] Figure

[119] Figure

[120] Figure

[121] Figure

[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

© 2020 The Newton Project

Professor Rob Iliffe
Director, AHRC Newton Papers Project

Scott Mandelbrote,
Fellow & Perne librarian, Peterhouse, Cambridge

Faculty of History, George Street, Oxford, OX1 2RL - newtonproject@history.ox.ac.uk

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