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  2. 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.

  3. Balance puzzle - Wikipedia

    en.wikipedia.org/wiki/Balance_puzzle

    2. Both sides are even. If this is the case, all eight coins are identical and can be set aside. Take the four remaining coins and place three on one side of the balance. Place 3 of the 8 identical coins on the other side. There are three possibilities: 2.a) The three remaining coins are lighter.

  4. Solution of triangles - Wikipedia

    en.wikipedia.org/wiki/Solution_of_triangles

    A general form triangle has six main characteristics (see picture): three linear (side lengths a, b, c) and three angular (α, β, γ). The classical plane trigonometry problem is to specify three of the six characteristics and determine the other three. A triangle can be uniquely determined in this sense when given any of the following: [1] [2]

  5. Equation - Wikipedia

    en.wikipedia.org/wiki/Equation

    The expressions on the two sides of the equals sign are called the "left-hand side" and "right-hand side" of the equation. Very often the right-hand side of an equation is assumed to be zero. This does not reduce the generality, as this can be realized by subtracting the right-hand side from both sides. The most common type of equation is a ...

  6. Lever - Wikipedia

    en.wikipedia.org/wiki/Lever

    Class I – Fulcrum is located between the effort and the resistance: The effort is applied on one side of the fulcrum and the resistance (or load) on the other side. For example, a seesaw, a crowbar, a pair of scissors, a balance scale, a pair of pliers, and a claw hammer (pulling a nail). With the fulcrum in the middle, the lever's mechanical ...

  7. 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.

  8. Heronian triangle - Wikipedia

    en.wikipedia.org/wiki/Heronian_triangle

    that is, the side lengths and area of any Heronian triangle satisfy the equation, and any positive integer solution of the equation describes a Heronian triangle. [ 4 ] If the three side lengths are setwise coprime (meaning that the greatest common divisor of all three sides is 1), the Heronian triangle is called primitive .

  9. 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.