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  2. Lester's theorem - Wikipedia

    en.wikipedia.org/wiki/Lester's_theorem

    In 2000, Bernard Gibert proposed a generalization of the Lester Theorem involving the Kiepert hyperbola of a triangle. His result can be stated as follows: Every circle with a diameter that is a chord of the Kiepert hyperbola and perpendicular to the triangle's Euler line passes through the Fermat points.

  3. Heron's formula - Wikipedia

    en.wikipedia.org/wiki/Heron's_formula

    There are many ways to prove Heron's formula, for example using trigonometry as below, or the incenter and one excircle of the triangle, [7] or as a special case of De Gua's theorem (for the particular case of acute triangles), [8] or as a special case of Brahmagupta's formula (for the case of a degenerate cyclic quadrilateral).

  4. Generalized trigonometry - Wikipedia

    en.wikipedia.org/wiki/Generalized_trigonometry

    Generalizations of trigonometric functions are often developed by starting with one of the above methods and adapting it to a situation other than the real numbers of Euclidean geometry. Generally, trigonometry can be the study of triples of points in any kind of geometry or space .

  5. Law of cosines - Wikipedia

    en.wikipedia.org/wiki/Law_of_cosines

    Fig. 1 – A triangle. The angles α (or A), β (or B), and γ (or C) are respectively opposite the sides a, b, and c.. In trigonometry, the law of cosines (also known as the cosine formula or cosine rule) relates the lengths of the sides of a triangle to the cosine of one of its angles.

  6. Pappus's area theorem - Wikipedia

    en.wikipedia.org/wiki/Pappus's_area_theorem

    Pappus's area theorem describes the relationship between the areas of three parallelograms attached to three sides of an arbitrary triangle. The theorem, which can also be thought of as a generalization of the Pythagorean theorem, is named after the Greek mathematician Pappus of Alexandria (4th century AD), who discovered it.

  7. Download, install, or uninstall AOL Desktop Gold

    help.aol.com/articles/aol-desktop-downloading...

    Learn how to download and install or uninstall the Desktop Gold software and if your computer meets the system requirements.

  8. Generalization - Wikipedia

    en.wikipedia.org/wiki/Generalization

    A polygon is a generalization of a 3-sided triangle, a 4-sided quadrilateral, and so on to n sides. A hypercube is a generalization of a 2-dimensional square, a 3-dimensional cube, and so on to n dimensions. A quadric, such as a hypersphere, ellipsoid, paraboloid, or hyperboloid, is a generalization of a conic section to higher dimensions.

  9. Beta - Main

    beta.aol.com

    AOL's premier all-in-one software is back in beta with an ALL NEW version and we want your help to test it. Join our beta by visiting the AOL Desktop beta page to learn more about this beta and how to get involved.