Found JH's resolution of a biquadratic ingenious. AR used René Descartes's method of resolution, but found it less elegant. Discusses resolution of higher order quadratics.
Found JH's resolution of a biquadratic ingenious. AR used René Descartes's method of resolution, but found it less elegant. Discusses resolution of higher order quadratics.
Discusses the comet that 'attracts the attention of all.' Speculates that the train of comets arises from the impulse of solar rays. Discusses shape and composition of comets.
Is now a clerk for [London and Edinburgh] shipping company. Does not know if he should mention his employment to Mr. Watts.
Dr. [Charles] Burney offered him a position at his academy. He will, however, remain at the shipping company.
Congratulates JH on his progress in mathematics. Discusses forces of attraction and his employment at the shipping company.
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.
Mr. Townley cannot get B.A. degree without attending one year at University and taking usual examinations. London papers greatly magnified disturbances. Things are peaceful now, but vigorous measures are needed to suppress 'dangerous Meetings.' Expects to enjoy Beckwiths' visit.
Expects JH for dinner Friday. JH's old friend Ianetta learned that she is descended from Scotland's Queen Annabella.
Learned that JH has been ill since returning from Slough. Please visit soon.
Would like to become an F.R.S. Charles Babbage has procured a form and BG would be pleased if JH would subscribe his name. Hopes he is well.
Has seen William Artaud, who will be pleased to paint William Herschel's picture. Will undertake it in the new year as he is rather pressed for time at the moment. Hears that J. C. Ross and W. E. Parry have returned from the North.
Sending an equation in calculus for him to give opinion.
Further comments on his original query [see CB's 1812-6-20] regarding the equation in calculus.
Sending details of some new theorems he has come across.
Answers to JH's questions on equations. Regarding the printing of his memoirs. Recent meeting of the Analytical Society.
Comments regarding the preface to their memoir. Further comments on JH's equations.
Memoir is being printed. Gives some more strange theorems for JH's comments.
Is sending copy of part of the memoir requested by JH. Gives a further theorem for JH's consideration.
Is sending the first 12 pages of JH's memoir. Is glad to hear that he has material for a further memoir. Gives equations for JH's comments.