Is sorry that CB's paper could not be printed in the recent issue of the R.S.P.T. Discusses problem in analysis. [Note dated [1816-]2-7]: has been waiting for Mr. Deighton's estimate of printing.
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Is sorry that CB's paper could not be printed in the recent issue of the R.S.P.T. Discusses problem in analysis. [Note dated [1816-]2-7]: has been waiting for Mr. Deighton's estimate of printing.
What is he to do with his work on S. F. Lacroix. Regarding the R.S.L. and the printing of CB's paper on functions. Is sending an abridged version of this paper to JH.
Has received parcel and letter. Has not had much time to give attention to the manuscript yet. On the R.S.L. and the printing of long papers. Hopes to have CB's translation of S. F. Lacroix soon. Regarding one of his equations.
Is thinking of applying for the position of Professor of Mathematics at East India College. Has written to William Herschel and others for references. George Peacock is also a candidate. Regarding functional equations.
Regrets he cannot assist CB over the position at East India College. William Herschel has less influence over Sir Joseph Banks than CB thinks. Regarding his paradoxes in functional equations.
Regarding his application for the position of professor at East India College. Gives functional equations for JH's comments.
Sorry he has had all the trouble with CB's translation. Father is ill. Will move shortly to Torquay. Regarding the printing of mathematical notations.
Regarding his translation of S. F. Lacroix. Regarding the notation of functions.
Is sending his paper on functions. Gives some functional equations and their solutions. Will be staying at Torquay until September.
Has had little leisure to write. Been working on S. F. Lacroix. Regarding the appendix to Lacroix. Is going to the Isle of Wight. Hopes to write a work on analytics. Has heard that CB is writing articles for the journal of the Royal Institution. Would like to write articles for an encyclopaedia.
Regarding JH's plans for the third part of S. F. Lacroix. Royal Institution and CB's articles for their journal. Hopes that JH will not write his book on Newton yet. Is hoping to publish a work on the Calculus of Functions. Hopes to meet him when in Devon.
Is glad to hear that he will be coming to Torquay. Regarding his new method of solving functions.
Temporarily at Bridgenorth as his wife's father has died. Must delay his visit to London. Has been interesting his brother-in-law in gas lights.
Leaving Cambridge shortly, probably for good. Will be under his father's directions observing the stars. Has sent the appendix to S. F. Lacroix. Regarding JH's error in the printing of an equation. Gives an equation for CB to comment on.
Has received a copy of their book. Sending a copy of his own paper printed in the R.S.P.T. Has prepared the way for CB's book on examples. Has been examining [John?] Spence's manuscript.
Chemical experiments with EC's blowpipe. Discovered cause of blowpipe explosions. Thank Mrs. Lowry for carbon substance sent to EC. Sent metal of Baryta to W. H. Wollaston. Suspects metallic nature of carbon and diamond.
Suggests changes for JH's paper on Swedish felspar submitted to Geological Society. Confusion between this and other silicates. Compares JH's analysis to that of Wilhelm Hisinger and others.
Discussed JH's proposed felspar paper [see HW's 1816-4-24] with W. H. Wollaston. Suggests using Wollaston's and [recently deceased Smithson] Tennant's unpublished method to test for alkalis and give Tennant credit for it. James Smithson first coined term 'silicate'.
Enjoyed visit of William Herschel and JH. Sorry about accident with coach. Discusses Horne Tooke's search for metaphysics through etymology. Extensive analysis of nature of verbs. Notes [daughter] Joy's response to JH's Masonic sign.
Thanks JH for William Herschel's gift. Wishes Horne Tooke had lived to publish third volume. E. D. Clarke's experiment with oxygen-hydrogen fuel mix to blowpipe was anticipated by Americans. Cites 1803 journal from New York.