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Divine Proportions: Rational Trigonometry to Universal Geometry is a 2005 book by the mathematician Norman J. Wildberger on a proposed alternative approach to Euclidean geometry and trigonometry, called rational trigonometry. The book advocates replacing the usual basic quantities of trigonometry, Euclidean distance and angle measure, by squared distance…
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geometry trigonometry book wildberger divine proportions rational euclidean angle spread points claims mathematics finite fields part distance formulas also quadrance
| Subject | Predicate | Object | Confidence | Src |
|---|---|---|---|---|
| Divine Proportions: Rational Trigonometry to Universal Geometry | Author | Norman J. Wildberger | 1.00 | infobox |
| Divine Proportions: Rational Trigonometry to Universal Geometry | Genre | Mathematics | 1.00 | infobox |
| Divine Proportions: Rational Trigonometry to Universal Geometry | Publication date | 2005 | 1.00 | infobox |
| Divine Proportions: Rational Trigonometry to Universal Geometry | Publisher | Wild Egg | 1.00 | infobox |
| Divine Proportions: Rational Trigonometry to Universal Geometry | is a | 2005 book by the mathematician Norman J | 0.90 | text |
| finite fields using the same formulas for quadrance | instance of | It also allows analogous concepts to be extended directly from the rational numbers to other number systems | 0.80 | text |
| spread | instance of | It also allows analogous concepts to be extended directly from the rational numbers to other number systems | 0.80 | text |
| Heron's formula for calculating the area of a triangle from its side lengths | instance of | Well known results | 0.80 | text |
| or the inscribed angle theorem in the form that the angles subtended by a chord of a circle from other points on the circle are equal | instance of | Well known results | 0.80 | text |
| are reformulated in terms of quadrance | instance of | Well known results | 0.80 | text |
| spread | instance of | Well known results | 0.80 | text |
| and thereby generalized to arbitrary fields of numbers | instance of | Well known results | 0.80 | text |
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