# Catalogue Entry: NATP00221

## Newton's Waste Book (Part 2)

Source: MS Add. 4004, ff. 15v-50r, Cambridge University Library, Cambridge, UK

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[9] October 1664

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[22] For the first equation of the first sort

[23] For the 2d

[24] For the 3d

[25] For the 4th

[26] For the 5t

[27] For the 6t &c

[28] For the first Equation of the seacond Sort

[29] For the seacond

[30] For the 3d.

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[33] November 1664

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[39] November 1664

[40] A

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[49] B

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[51] This line is a streight one the equation being divisible by $b=y=0$

[52] Endeavor not to find the quantity d in these cases, but suppose it given[Editorial Note 1]

[Editorial Note 1] There is a line connecting the end of this note to the following one

[53] Or else C

[54] December

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[62] F

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[66] December 1664

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[69] Theorema

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[71] December 1664.

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[83] Feb 1664

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[86] Another way.

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[88] December 1664

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[94] Of compound force.

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[101] May 20th 1665

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[103] Observation 1st

[104] Observacion 2d

[105] An universall theorem for tangents to crooked lines, when $y\perp x$.

[106] See Des Cartes his Geometry. booke 2d, pag 42, 46, 47. Or thus, $\begin{array}{ccccccccc}{x}^{3}& -& bxx& -& cdx& +& dyx& +& bcd\\ 2& & 1& & 0& & 0& & -1& \end{array}$ { $\frac{2xxy-bxy}{-dx}\phantom{\rule{0.5em}{0ex}}\frac{+bcdy}{dxx}=v$ }. And $\frac{bcy}{xx}+\frac{by}{d}-\frac{2xy}{d}=v$ .

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[108] An universall theorem for drawing tangents to crooked lines when x & y intersect at any determined angle

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[110] A=

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[Editorial Note 2] The rest of the page is damaged.