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Sends paper on fluxions written for Edinburgh Encyclopaedia. Uses new formulas, dispensing with binomial theorem. Brings logarithmic and exponential formulae within power of common algebraic processes.
Discusses plans for proposed visit by Smith, [Thomas William] Coke, and Dr Parr to Allerton in September. Intends to write further on 'Scitamineae' plants; asks Smith to provide details of plant they examined in [Edward] Rudge's "Plants of Guiana" and [Etienne Ventenat's] "Jardin de Malmaison" and provides rough ink sketch and comments on appearance. Will not comment on the "astonishing events we have lived to see in the political world". Has not seen Smith's mother in Liverpool yet.
Introduces [George Wilson] Meadley [(1774-1818), biographer]. Believes he has found new species of 'Malva' and 'Lotus'.
Has been confined for nine months [on account of his angina pectoria]. Philosophical reflections on friendship; life; Smith's botanical achievements; recent history, including fall of the Bourbons and rise of Napoleon; notions of power and glory; and his own approaching death, inspired by death of [Samuel] Whitbread [(1764-1815) politician, who killed himself by cutting his throat on 6 July 1815].