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Admires her manuscript [Mechanism of the Heavens]. Wishes [P. S.] Laplace would have lived to see it. Notes a problem with the principle of virtual velocity.
Sends 40 pages of her manuscript [Mechanism of the Heavens] along with suggestions for improvement. Suggests clarifying the principles of the first chapter and a fuller explanation of various other principles.
Sends new translation of [P. S. Laplace's] Mécanique céleste. Says her revision [of MS's Mechanism of the Heavens] has been effective. Still doubts the derivation of the fundamental equation. Discusses force, resistance, and reaction with regard to this equation.
Says manuscript [Mechanism of the Heavens] cannot be improved materially except perhaps on one or two small points. Will look at it again when it is together in a whole. Announces birth of JH's daughter [Caroline] that morning.
Will bring her manuscript [Mechanism of the Heavens]. Apologizes for holding it so long. Critiques various passages concerning permanent rotation and equations of stability. Sends condolences on Dr. Somerville's loss.