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  2. One half - Wikipedia

    en.wikipedia.org/wiki/One_half

    0.1 2: Ternary: 0.1111111111 3: Senary: 0. ... It is an irreducible fraction with a numerator of 1 and a denominator ... The area of a triangle is one half its base ...

  3. Triangle - Wikipedia

    en.wikipedia.org/wiki/Triangle

    A triangle is a figure consisting of three line segments, each of whose endpoints are connected. [1] This forms a polygon with three sides and three angles. The terminology for categorizing triangles is more than two thousand years old, having been defined in Book One of Euclid's Elements. [2]

  4. Square root of 2 - Wikipedia

    en.wikipedia.org/wiki/Square_root_of_2

    The square root of 2 (approximately 1.4142) ... [1] The fraction ... there is an even smaller right isosceles triangle, with hypotenuse length 2n − m and legs m − n.

  5. Sierpiński triangle - Wikipedia

    en.wikipedia.org/wiki/Sierpiński_triangle

    Set v n+1 = ⁠ 1 / 2 ⁠ (v n + p r n), where r n is a random number 1, 2 or 3. Draw the points v 1 to v ∞. If the first point v 1 was a point on the Sierpiński triangle, then all the points v n lie on the Sierpiński triangle. If the first point v 1 to lie within the perimeter of the triangle is not a point on the Sierpiński triangle ...

  6. Special right triangle - Wikipedia

    en.wikipedia.org/wiki/Special_right_triangle

    Set square shaped as 45° - 45° - 90° triangle The side lengths of a 45° - 45° - 90° triangle 45° - 45° - 90° right triangle of hypotenuse length 1.. In plane geometry, dividing a square along its diagonal results in two isosceles right triangles, each with one right angle (90°, ⁠ π / 2 ⁠ radians) and two other congruent angles each measuring half of a right angle (45°, or ...

  7. Bernoulli number - Wikipedia

    en.wikipedia.org/wiki/Bernoulli_number

    Blaise Pascal in 1654 proved Pascal's identity relating (n+1) k+1 to the sums of the p th powers of the first n positive integers for p = 0, 1, 2, ..., k. The Swiss mathematician Jakob Bernoulli (1654–1705) was the first to realize the existence of a single sequence of constants B 0, B 1, B 2,... which provide a uniform formula for all sums ...

  8. Golden triangle (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Golden_triangle_(mathematics)

    A golden triangle. The ratio a/b is the golden ratio φ. The vertex angle is =.Base angles are 72° each. Golden gnomon, having side lengths 1, 1, and .. A golden triangle, also called a sublime triangle, [1] is an isosceles triangle in which the duplicated side is in the golden ratio to the base side:

  9. Unit fraction - Wikipedia

    en.wikipedia.org/wiki/Unit_fraction

    Slices of approximately 1/8 of a pizza. A unit fraction is a positive fraction with one as its numerator, 1/ n.It is the multiplicative inverse (reciprocal) of the denominator of the fraction, which must be a positive natural number.