3-15-35. George Howard Darwin to H. Poincaré

Oct. 12.01

Newnham Grange–Cambridge

Dear Monsieur Poincaré

I have no doubt you are substantially right,11Poincaré had recently charged Darwin with error (§ 3-15-34). and I cannot now recall the argument which made me think as I did. Is not it at least partially true? At any rate I have made the first calculation of my coeffts (other than 𝔎3) for y=75, κ=sin815 and find

𝔎31 =.130 𝐊31 =.224 𝔎32 =.460 𝐊32 =.465 𝔎33 =.604 𝐊33 =.614

I shall go on and compute for κ=sin814 – for the Jacobian is κ=sin814.4. In this way I have an independent calculation & verification.

I have found an error in my calculation of 𝐊31 for y=6950, κ=sin7356. It shd be .299 & not .236. This does not disturb the order in which the K’s are arranged.

If it would be of any help to you I will send you my compn of the critical Jacobian.

Having struggled so much with arithmetic and realised its extreme difficulty, it is a comfort to me to hear you confess yourself a bad calculator.22See Poincaré to Darwin (§ 3-15-34).

Yours sincerely,

G. H. Darwin

ALS 2p. Collection particulière, Paris 75017.

Time-stamp: "18.09.2016 01:36"