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  2. Langley's Adventitious Angles - Wikipedia

    en.wikipedia.org/wiki/Langley's_Adventitious_Angles

    A quadrilateral such as BCEF is called an adventitious quadrangle when the angles between its diagonals and sides are all rational angles, angles that give rational numbers when measured in degrees or other units for which the whole circle is a rational number. Numerous adventitious quadrangles beyond the one appearing in Langley's puzzle have ...

  3. Euclidean algorithm - Wikipedia

    en.wikipedia.org/wiki/Euclidean_algorithm

    The greatest common divisor g of a and b is the unique (positive) common divisor of a and b that is divisible by any other common divisor c. [6] The greatest common divisor can be visualized as follows. [7] Consider a rectangular area a by b, and any common divisor c that divides both a and b exactly.

  4. Heronian triangle - Wikipedia

    en.wikipedia.org/wiki/Heronian_triangle

    In geometry, a Heronian triangle (or Heron triangle) is a triangle whose side lengths a, b, and c and area A are all positive integers. [1] [2] Heronian triangles are named after Heron of Alexandria, based on their relation to Heron's formula which Heron demonstrated with the example triangle of sides 13, 14, 15 and area 84.

  5. Greatest common divisor - Wikipedia

    en.wikipedia.org/wiki/Greatest_common_divisor

    Animation showing an application of the Euclidean algorithm to find the greatest common divisor of 62 and 36, which is 2. A more efficient method is the Euclidean algorithm , a variant in which the difference of the two numbers a and b is replaced by the remainder of the Euclidean division (also called division with remainder ) of a by b .

  6. Exact trigonometric values - Wikipedia

    en.wikipedia.org/wiki/Exact_trigonometric_values

    Since two of the angles in an isosceles triangle are equal, if the remaining angle is 90° for a right triangle, then the two equal angles are each 45°. Then by the Pythagorean theorem, the length of the hypotenuse of such a triangle is 2 {\displaystyle {\sqrt {2}}} .

  7. The 50 best Christmas gifts for everyone on your list this year

    www.aol.com/lifestyle/50-best-christmas-gifts-of...

    Challenge the 7-year-old on your list with this puzzle game called Kanoodle Gravity. They can play alone or with a friend to solve 40 visual puzzles with blocks and a playing board.

  8. Forget the dealership: You can now buy a Hyundai on Amazon

    www.aol.com/finance/forget-dealership-now-buy...

    After nearly a year of waiting, Amazon users can now buy a Hyundai vehicle through the online retailer.Starting today, Amazon car shoppers in 48 cities, including New York, Los Angeles, and ...

  9. A Physical Therapist Shares Glute Stretches to Relieve Tightness

    www.aol.com/physical-therapist-shares-glute...

    Fold your knees so that they make 90-degree angles, both knees pointing toward the right. Lean your upper body over your right knee, getting as close as you can to the ground without pain.