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Describes JH's public Latin examination in algebra yesterday. James Grahame and sister were dangerously ill, but Grahame returned to Cambridge. [Addendum:] Newspaper clipping naming students (including JH) who received B.A. degrees at Cambridge on 16 Jan. 1813.
Two weeks of examinations begin tomorrow. Experiments writing with glass pen. Describes glassmaker's methods. Suggests application to micrometers.
Although nominated for the Analytical Society by Edward Bromhead, JB declines membership. Praises the society as 'highly calculated to the promotion of mathematical literature.'
Is now a clerk for [London and Edinburgh] shipping company. Does not know if he should mention his employment to Mr. Watts.
Angry at self and whole world except JW. Has been drunk and travelling. Met brilliant but 'not beautiful' woman. Wonders why he left Cambridge; requests news and offers advice.
Asks JH to come to Slough to visit Alexander Herschel before he leaves.
Sends William and Mary Somerville to visit Herschel family. Describes and praises the couple. Hopes observatory at Edinburgh will be completed soon.
Requests JH obtain a paper by Joseph Banks for William Herschel.
Sending an equation in calculus for him to give opinion.
Answer to CB's equation. Bring something to discuss at the forthcoming meeting of the Analytical Society.
Further comments on his original query [see CB's 1812-6-20] regarding the equation in calculus.
Further comment on the calculus equation sent by CB.
Sending details of some new theorems he has come across.
Sends on part of letter for CB to complete and forward.
About the mathematical formulation for the summation of any series.
Giving equations.
Regarding equational problems.