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.
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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.