Sends JH a copy of sailing tables, and asks JH's opinion as to the value of printing them.
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Sends JH a copy of sailing tables, and asks JH's opinion as to the value of printing them.
John Lubbock entitled to bring his proposal before R.A.S., and to the best advice they can give, but the idea of explaining new views on physical astronomy strikes RS as 'objectionable' in principle. No one will understand his presentation. How to proceed with this. RS's work on the standard yard.
Thanks for JH's reply about 'Towson Tables.' Please return copy of JH's letter to FB. Encloses Georg Merz's account. [Telescope] is at Custom House awaiting shipment to Cape of Good Hope. Does JH have plan and estimate yet for dome, so FB can present it to Admiralty? Received JH's 24 Oct. note about Mr. Morris's account.
John Lubbock wishes only to explain his system, so there is no reason why the R.A.S. should not listen to him. Certain conditions must be met. Troubles with the R.A.S.M.N.
Error in Leonhard Euler's value for Bernoulli's 21st number. Promotes HW's method of continued subtraction as a reliable means of proving accuracy of values for higher Bernoulli numbers.
Gratitude for receipt of JH's Cape Results [transmitted via George Bancroft].
Sends Principles of Natural Philosophy from the Swedenborg Association. Published nearly one century earlier, its contents should interest JH. Contains a nebular theory commonly attributed to [P. S.] Laplace.
Has been reading as far as page 36 of the proofs with great pleasure. Regarding choice of words for a phrase. Richard Jones is uninfluenced as yet.
Now commanding the Herefordshire. All navigators must prove their competency. Asks JH for such a certificate.
Congratulations on finishing his paper. Would he check over the proofs. Richard Jones is well, though not well enough to attend at the College chapel. J. E. D. Bethune and John Lefevre are staying with Jones. Bethune starts for India in February.
Destroy all HW's letters claiming errors in Leonhard Euler's values for Bernoulli's numbers. Mr. Hensley of Trinity College found weakness in HW's continued subtraction method. Clarifies symbols HW used to represent P. S. Laplace's expressions of Bernoulli's numbers.
Continues explicating P. S. Laplace's formula for determining Bernoulli's numbers. Concerned that JH sees HW claiming too much for HW's continued subtraction method.
Thanks JH for the gift of the Cape Results, and comments on his impending move to Lausanne.
Has repaired the damage to his equatorial. Observed another of Wilhelm Struve's double stars last evening. Compares some of their star readings.
Some small disagreement about the bill for the refractor [see GM's 1847-10-16].
Is obliged by his note and will accordingly write to Richard Sheepshanks. Spot on the sun was very visible to the naked eye recently. Looks forward to seeing JH.
Verified Leonhard Euler's values for Bernoulli's numbers up to B=25 by method previously outlined and to be stated fully in this letter. Mr. Hensley [of Trinity College] proposes to revise incorrect values given in Penny Cyclopaedia. Computing a Bernoulli number by P. S. Laplace's formula takes three days. HW's method of continued subtraction requires only 24 hours.
Received three bills for £316 from Georg Merz and Sons, but JH's balance is only £19.
Thanks JH for suggestion on his method of Great Circle sailing. Further enquires over some cartographic matters.
Thanks JH for the gift of JH's Cape Results.