TALBOT9187

T 43. Sackville S^t W.
Tuesday February 5^th

My dear Father.

Salmon’s conic sections, ¹ and M^r C R M Talbot ² on the Newtons lines of the 3^rd order ³ are at Lacock and I think in your library. and probably in the book case betw opposite the windows. My mathematics have hardly come to a presentable result. – I have not many mathematical books with me, but I have been attacking several subjects – I hope soon to have something to show. – A simple property of a trapezium which I suppose is well know is this.

[drawing of trapezium]

If you bisect the sides and diagonals of a trapezium, and join eg. fh.I.J. as shown in the figure three lines pass through one point. –

[three more figures, labelled (1), (2), (3)]

This admits of this statement

By the way these lines are all bisect each other. This is another statement. If a figure be [illegible deletion] formed by 4 lines in one plane whether, such figure hav have a reentering angle as figure (2). or whether 2 sides cross as figure. the (3). Ten if you bisect alternate sides and give their centres, these 2 straight lines always bisect each other.

Have you Tates ⁴ work on quaternion? and is it difficult?

Please thank Monnie ⁵ for her letter which I have yet to answer.

Your affect son
Charles –

[envelope:]
W. H. Fox Talbot, Esq
13 Great Stuart Street
Edinburgh