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Chemical news: decomposition of 'sulphuret of carbon' by J. J. Berzelius and Alexander Marcet. Analysis of 'azotane' and discovery of 'iode' by Humphry Davy. Congratulations on results of CB's examination.
Feigned reproach for CB's return to 'the Analytics.' Inquires about CB's 'Devonshire Ghost at Chudleigh.' Results of JH's chemistry experiments. Derides scientists who promote theory of 'akasch' as the one and only form of matter. Met Alexander Marcet in Greenwich.
Gratitude for CB's friendship. Chemical supplies and instruments. Describes synthesis of 'Sulphurane' [S2Cl2] and other experiments. Theories of combustion and acids. [Letter continued on 1813-9-21:] JH avidly studying law, against father's wishes.
CB has founded 'a calculus totally new and immensely powerful.'
Working in law office of [F. W.?] Sanders. Attended R.S.L. last night. T. W. Hornbuckle offered JH position as subtutor at St. John's College, but JH declined. Describes paper on minerals that JH submitted through E. D. Clarke to Geological Society. Charles Babbage just made creative mathematical discovery.
Finds no experimental evidence connecting index of capillary action to index of refraction.
Congratulates JH on the formation of the [Analytical] Society, which will let Britain 'take the lead' in mathematics. Discusses analysis of a radical.
Describes an oil lamp that makes efficient use of all the oil placed in it.
Obliquely, wishes luck and offers advice on exams. Asks for news of Cambridge scandals. Is entering law school. Encloses mathematical formula for which they had earlier searched.
Has had the bill for the printing of their memoir. Ways of raising money to pay for the printing. Comments on one of CB's equations. Will be entering Lincoln's Inn in a week's time.
Regarding the proposed method of raising funds to pay for printing of the memoir. Justifies his equation queried by JH. Would he purchase certain chemicals for him.