# Transcription

## 3-15-26. George Howard Darwin to H. Poincaré

Aug. 25.01

Newnham Grange–Cambridge

Dear Monsieur Poincaré,

Since I last wrote I have continued to work at my subject & have met with unexpected success. The most troublesome integrals disappear automatically and a number of others can be obtained rigorously without elliptic integrals. I have now arranged the work in a very convenient form & have started a professional computer at the integrals. The work will not be very long. It would be tedious though not difficult to express them all in $E$ and $F$.

I find also that, by proper interpretation of the symbols and change of third harmonic to second, this result is applicable to this initial Jacobian considered as a deformation of an ellipsoid of revolution. I expect to have the result in a day or two, and if it is correct it seems to me absolutely impossible that I can be wrong in the problem of the pear.

It has been a very troublesome piece of analysis. I found it convenient to join part of my $E_{2}$ to $E_{1}$, then to join the other part to $E_{3}$; to join $E_{5}$ with part of $E_{4}$. The remaining part of $E_{4}$ is deducible by means of $E_{3}$. All this was not discovered until I had made many trials & failures.

I look forward to your letter with much interest.

Yours sincerely,

G. H. Darwin

ALS 3p. Collection particulière, Paris 75017.

# Métadonnées

#### Titre (dcterms:title)

George Howard Darwin à Henri Poincaré, 25 août 1901

#### Incipit (ahpo:incipit)

Since I last wrote I have continued to work at my subject ...

1901-08-25

#### Type (ahpo:documentType)

fr Lettre autographe signée

26

#### Droits (ahpo:rightsHolder)

Archives Henri Poincaré

3

en

Gharnati Ph.D.

# Citer ce document

« George Howard Darwin à Henri Poincaré, 25 août 1901 ». La Correspondance Entre Henri Poincaré, Les Astronomes Et Les géodésiens. Archives Henri Poincaré, s. d, Archives Henri Poincaré, s. d, La correspondance d'Henri Poincaré, consulté le 8 février 2023, http://henripoincare.fr/s/correspondance/item/10402