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Answers questions raised by AH in his 1850-1-19 [letter contains notes made by AH].
Explaining his own idea of probability. [This appears to be the original, which was never sent as Lord Jeffrey died 1850-1-25.]
Regrets he is unable to support his project for the church as he has many more worthy commitments.
[John Russell] Hind is being considered for the post of astronomer at Trivandrum in India.
Margaret Herschel will avail herself of the offer [see AP's 1850-6-9]; inquires what is happening to the letters from AP's father that JH had given to AP.
Thanks for birthday gift. Health of friends.
JH's new duties at Royal Mint. JH and Margaret staying with [Elizabeth] Baily while searching for residence in London. JH's son William to be examined at Haileybury College in Jan. 1851. Son John is [attending Clapham grammar school] with Charles Pritchard.
Sorry about misunderstanding between WB and Edward Sabine at Kew Committee. Suggests WB write statement to clear things up.
Thanks for congratulations, but JH is not yet appointed [Master of Mint]. Sorry to hear that JH inherits painful disputes. Plans to rely on WB's long experience [as superintendent of Die department].
[A. J.] Ellis was correct; JH used earlier version of proof by [C. F.] Gauss in Theoria Motus Corporum Coelestium [1809] and was not aware of newer proof. But Ellis's objection to JH's proof applies only to properties of space.
JH is traveling in Europe and unable to attend meeting of Cambridge University Commissioners on 16 or 22 Oct.
Requests permission to post £20,000 of JH's funds as security bond for JH's position as Master of Mint, rather than calling on JH's friends to act as surety. Will JH also need to pay 'Office Fee,' which Royal Commission of 1849 recommended be abolished?