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  2. Divine Proportions: Rational Trigonometry to Universal Geometry

    en.wikipedia.org/wiki/Divine_Proportions:...

    Divine Proportions does not assume much in the way of mathematical background in its readers, but its many long formulas, frequent consideration of finite fields, and (after part I) emphasis on mathematical rigour are likely to be obstacles to a popular mathematics audience. Instead, it is mainly written for mathematics teachers and researchers.

  3. Talk:Divine Proportions: Rational Trigonometry to Universal ...

    en.wikipedia.org/wiki/Talk:Divine_Proportions:...

    Having attending several of Norman Wildeberger's talks, the rationale behind rational trigonometry is that the concept of an angle belongs to a circle (ie, Euler's formula), and that the concept of spread is far more natural for a triangle (c.f. Thales' theorem). Angles and distance also break down in fields other than the real numbers, whereas ...

  4. Tangent half-angle substitution - Wikipedia

    en.wikipedia.org/wiki/Tangent_half-angle...

    Instead of +∞ and −∞, we have only one ∞, at both ends of the real line. That is often appropriate when dealing with rational functions and with trigonometric functions. (This is the one-point compactification of the line.) As x varies, the point (cos x, sin x) winds repeatedly around the unit circle centered at (0, 0). The point

  5. Talk:Norman Wildberger - Wikipedia

    en.wikipedia.org/wiki/Talk:Norman_Wildberger

    I just created this article, because Wildberger clearly needed an article, as he has made an important contribution to mathematics with his new subject known as "rational trigonometry."Dratman 01:56, 17 September 2011 (UTC) I think there have been changes since the Wikipedia:Articles for deletion/Norman J. Wildberger discussion. Wildberger is ...

  6. Rule of twelfths - Wikipedia

    en.wikipedia.org/wiki/Rule_of_twelfths

    The rule states that over the first period the quantity increases by 1/12. Then in the second period by 2/12, in the third by 3/12, in the fourth by 3/12, fifth by 2/12 and at the end of the sixth period reaches its maximum with an increase of 1/12.

  7. Mortgage and refinance rates for Nov. 12, 2024: Average ... - AOL

    www.aol.com/finance/mortgage-and-refinance-rates...

    See today's average mortgage rates for a 30-year fixed mortgage, 15-year fixed, jumbo loans, refinance rates and more — including up-to-date rate news.

  8. “Bachelorette” star Ali Fedotowsky says Ellen DeGeneres made ...

    www.aol.com/lifestyle/bachelorette-star-ali...

    The Bachelorette alums Ali Fedotowsky and Kaitlyn Bristowe reunited as the former recalled a prior rocky encounter with comedian Ellen DeGeneres. Fedotowsky appeared on a recent episode of ...

  9. Rational function - Wikipedia

    en.wikipedia.org/wiki/Rational_function

    In mathematics, a rational function is any function that can be defined by a rational fraction, which is an algebraic fraction such that both the numerator and the denominator are polynomials. The coefficients of the polynomials need not be rational numbers ; they may be taken in any field K .