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  2. Solution of triangles - Wikipedia

    en.wikipedia.org/wiki/Solution_of_triangles

    For the spherical case, one can first compute the length of side from the point at α to the ship (i.e. the side opposite to β) via the ASA formula ⁡ = ⁡ ⁡ ⁡ (+) + ⁡ ⁡ (), and insert this into the AAS formula for the right subtriangle that contains the angle α and the sides b and d: ⁡ = ⁡ ⁡ = ⁡ + ⁡ ⁡. (The planar ...

  3. Seesaw theorem - Wikipedia

    en.wikipedia.org/wiki/Seesaw_theorem

    In algebraic geometry, the seesaw theorem, or seesaw principle, says roughly that a limit of trivial line bundles over complete varieties is a trivial line bundle. It was introduced by André Weil in a course at the University of Chicago in 1954–1955, and is related to Severi's theory of correspondences.

  4. Seesaw molecular geometry - Wikipedia

    en.wikipedia.org/wiki/Seesaw_molecular_geometry

    The seesaw geometry occurs when a molecule has a steric number of 5, with the central atom being bonded to 4 other atoms and 1 lone pair (AX 4 E 1 in AXE notation). An atom bonded to 5 other atoms (and no lone pairs) forms a trigonal bipyramid with two axial and three equatorial positions, but in the seesaw geometry one of the atoms is replaced ...

  5. Seesaw - Wikipedia

    en.wikipedia.org/wiki/Seesaw

    Seesaw in 1792 painting by Francisco de Goya A set of conjoined playground seesaws. A seesaw (also known as a teeter-totter) is a long, narrow board supported by a single pivot point, most commonly located at the midpoint between both ends; as one end goes up, the other goes down. These are most commonly found at parks and school playgrounds.

  6. Method of dominant balance - Wikipedia

    en.wikipedia.org/wiki/Method_of_dominant_balance

    In mathematics, the method of dominant balance approximates the solution to an equation by solving a simplified form of the equation containing 2 or more of the equation's terms that most influence (dominate) the solution and excluding terms contributing only small modifications to this approximate solution.

  7. Heronian triangle - Wikipedia

    en.wikipedia.org/wiki/Heronian_triangle

    If exactly one of the side lengths is even, all the factors in the right-hand side of the equation are even, and, by dividing the equation by 16, one gets that and are integers. As the side lengths are supposed to be coprime, one is left with the case where one or three side lengths are odd.

  8. Wallace–Bolyai–Gerwien theorem - Wikipedia

    en.wikipedia.org/wiki/Wallace–Bolyai–Gerwien...

    The minimum number n of pieces required to compose one polygon Q from another polygon P is denoted by σ(P,Q). Depending on the polygons, it is possible to estimate upper and lower bounds for σ(P,Q). For instance, Alfred Tarski proved that if P is convex and the diameters of P and Q are respectively given by d(P) and d(Q), then [3]

  9. Seesaw mechanism - Wikipedia

    en.wikipedia.org/wiki/Seesaw_mechanism

    The name of the seesaw mechanism was given by Tsutomu Yanagida in a Tokyo conference in 1981. There are several types of models, each extending the Standard Model . The simplest version, "Type 1", extends the Standard Model by assuming two or more additional right-handed neutrino fields inert under the electroweak interaction, [ a ] and the ...

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