Thanks for JH's kind comments on TA's paper on ozone.
Thanks for JH's kind comments on TA's paper on ozone.
Was elected yesterday to the Registrarship of London University, and thanks JH for his support.
Sends law of coefficients, for developing summation theorem.
[Form letter] Offers to send Commercium epistolicum J. Collins et aliorum... (1856), by J. B. Biot and Francisque Lefort, a critical edition of works by mathematician John Collins.
Coefficients of differences of odd powers of zero observe same law as those of even powers. Example of table of coefficients of differences of 015. Table took 15 minutes to compute by HW's process of summation. Notes error in table for 012 sent earlier.
Compliments HW's expression for the formula for coefficients of differences of the odd powers of zero. JH busy, but hopes soon to develop demonstration.
Glad for JH's renewed interest in mathematics. At 72, HW expects to do no more. Reviewed JH's letter of 14 May [1856]. Fears JH misunderstood meaning of symbol HW employed. Quotes explanation from HW's paper on self-repeating series.
Reflects on relations between differences of same power of zero. Reviews procedure developed for determining terms and law of coefficients. JH's critique expanded role for these, but HW disagrees with JH's latest comments.
Complaining about the recent wet weather.
Has procured an actinometer and would like details of the scale.
Would he answer some of his queries when he has leisure? Queries on the law of beats for unison sounds. Met JH's daughter on Monday, who gave a fair account of JH and his recent work.
Some more information on the use of the actinometer [see JH's 1856-4-24 & GA's 1856-6-3]; some news of JH's wife, Margaret.
Lectures AH on the 'examination paper of life' after AH had complained that he was disgusted by a college examination.
Wants to make a new musical instrument on the principle of resonance; JH also suggests some improvements in the construction of the organ.
Has long held the view that a pipe underneath the strings of a piano would increase the resonance. Had not conceived such an instrument as JH suggested. Why are 3rds and 6ths more agreeable to the ear than 4ths and 5ths?
Regrets letter read the night before at the R.A.S. of JH's wish to resign and hopes JH's health allows him to come occasionally and be a nominal member. Discusses Piazzi Smyth's preparations for voyage to Teneriffe.
Celebration planned for arrival of MH and IH. Son John is home from Addiscombe. JH's health. News of Hawkhurst. Regards to Mr. and Mrs. Greig.
Sending him a copy of her Familiar Astronomy and inviting his comments on this work. His works are well known in America.
Comments on a proposed grant to publish T. R. Robinson's Armagh observations.
Writes to clarify his understanding of the word 'fluorescence.' Asks JH to review a paper on color-blindness.