| RefNo | MS/82/3 |
| Level | Item |
| Title | Letter from Brook Taylor to [John Keill] |
| Date | 11 September 1712 |
| Description | Addressed to Squires Coffeehouse in Fullers rents.
Sends him the Latin version of his essay on refractions for the Royal Society; has shortened the demonstration of the density of the air using a barometric experiment. Asks Keill's opinion on his theorem of quadrature [later known as Taylor series] which he describes here as a generalisation of [Jacob] Bernouilli's serie. Discusses the advantage of his method, as producing several series. Will show in person to Keill the whole process.
States that his current work relates to fluxions although he has not brought his "thoughts into some order". Notes that Sir Is[aac] N[ewton] "has thoroughly digested that matter, as appears most plainly by what he has published tho' he has not communicated half what he knows". Thinks that [Abraham de] Moive did not understand fully the extraction of roots for fluxional equations and proposes his own solution, includes equations.
Has written to his bookseller, [Robert] Knaplock, to ask for Keill's treatises against [Gottfried] Leibniz and the extracts of letters by the R.S. but could not obtain them, so asking Keill to inform the booksletter of "where they may be had".
Asks for Keill's opinion of what he sent to [John] Machin related to [Johannes] Kepler's theorem. |
| Extent | 4pp. |
| Format | Manuscript |
| PhysicalDescription | Ink on paper |
| AccessStatus | Open |
Fellows associated with this archive
| Code | PersonName | Dates |
| NA6093 | Taylor; Brook (1685 - 1731) | 1685 - 1731 |
| NA5348 | Keill; John (1671 - 1721); mathematician; natural philosopher | 1671 - 1721 |