Search results
Results from the WOW.Com Content Network
Napier's first auxiliary table, a geometric progression computed by successive subtraction Napier's second auxiliary table. The final value should be 9995001.224804 [1]: p. 32 Napier's third "Radical" table. Napier relies on several insights to compute his table of logarithms. To achieve high accuracy he starts with a large base of 10,000,000.
The method of logarithms was publicly propounded for the first time by John Napier in 1614, in his book entitled Mirifici Logarithmorum Canonis Descriptio (Description of the Wonderful Canon of Logarithms). [1] The book contains fifty-seven pages of explanatory matter and ninety pages of tables of trigonometric functions and their natural ...
Ch. III The book also has a discussion of theorems in spherical trigonometry, usually known as Napier's Rules of Circular Parts. Modern English translations of both Napier's books on logarithms and their description can be found on the web, as well as a discussion of Napier's bones and Promptuary (another early calculating device). [11]
The 19 degree pages from Napier's 1614 table of logarithms of trigonometric functions Mirifici Logarithmorum Canonis Descriptio. The term Napierian logarithm or Naperian logarithm, named after John Napier, is often used to mean the natural logarithm. Napier did not introduce this natural logarithmic function, although it is named after him.
Napier's bones is a manually operated calculating device created by John Napier of Merchiston, Scotland for the calculation of products and quotients of numbers. The method was based on lattice multiplication , and also called rabdology , a word invented by Napier.
Napier's formulation was awkward to work with, but the book fired Briggs' imagination – in his lectures at Gresham College he proposed the idea of base 10 logarithms in which the logarithm of 10 would be 1; and soon afterwards he wrote to the inventor on the subject. Briggs was active in many areas, and his advice in astronomy, surveying ...
Their Napier’s circles contain circular shifts of parts (, /, /, /,) Pentagramma mirificum ( Latin for "miraculous pentagram") is a star polygon on a sphere , composed of five great circle arcs , all of whose internal angles are right angles .
A page from Henry Briggs' 1617 Logarithmorum Chilias Prima showing the base-10 (common) logarithm of the integers 0 to 67 to fourteen decimal places. Part of a 20th-century table of common logarithms in the reference book Abramowitz and Stegun. A page from a table of logarithms of trigonometric functions from the 2002 American Practical Navigator.