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- Artificium abstract "Artificium is an algorithm invented by Jost Bürgi at the end of the 16th century. It can be used to calculate sines at arbitrary precision. Bürgi used it to calculate the Canon Sinuum, a table of 81,000 sines of values between 0 and 45 degrees in steps of 2 arc seconds. Such tables were extremely important for navigation at sea. Johannes Kepler called the Canon Sinuum the most precise known table of sines. Bürgi explained Artificium in his work «Fundamentum Astronomiae» which he presented to Emperor Rudolf II. in 1592.The principles of iterative sine table calculation through Artificium are as follows: cells in a column sum up the values of the two previous cells in the same column. The final cell's value is divided by two, and the next iteration starts. Finally, the values of the last column get normalized. Rather accurate approximations of sines are obtained after few iterations.As recently as 2015, Folkerts et al. showed that this simple process converges indeed towards the true sines. According to Folkerts, this was the first step towards difference calculus.".
- Artificium wikiPageID "49589765".
- Artificium wikiPageLength "1526".
- Artificium wikiPageOutDegree "11".
- Artificium wikiPageRevisionID "707511150".
- Artificium wikiPageWikiLink Algorithm.
- Artificium wikiPageWikiLink Approximation.
- Artificium wikiPageWikiLink Canon_Sinuum.
- Artificium wikiPageWikiLink Column.
- Artificium wikiPageWikiLink Finite_difference.
- Artificium wikiPageWikiLink Fundamentum_Astronomiae.
- Artificium wikiPageWikiLink Johannes_Kepler.
- Artificium wikiPageWikiLink Jost_Bürgi.
- Artificium wikiPageWikiLink Minute_and_second_of_arc.
- Artificium wikiPageWikiLink Navigation.
- Artificium wikiPageWikiLink Sine.
- Artificium wikiPageWikiLinkText "Artificium".
- Artificium wikiPageUsesTemplate Template:Refimprove.
- Artificium wikiPageUsesTemplate Template:Uncategorized.
- Artificium wikiPageUsesTemplate Template:Use_mdy_dates.
- Artificium hypernym Algorithm.
- Artificium type Software.
- Artificium comment "Artificium is an algorithm invented by Jost Bürgi at the end of the 16th century. It can be used to calculate sines at arbitrary precision. Bürgi used it to calculate the Canon Sinuum, a table of 81,000 sines of values between 0 and 45 degrees in steps of 2 arc seconds. Such tables were extremely important for navigation at sea. Johannes Kepler called the Canon Sinuum the most precise known table of sines.".
- Artificium label "Artificium".
- Artificium wasDerivedFrom Artificium?oldid=707511150.
- Artificium isPrimaryTopicOf Artificium.