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  2. Shape Island - Wikipedia

    en.wikipedia.org/wiki/Shape_Island

    Circle (voiced by Gideon Adlon) is a sphere. She is the oldest, most powerful, and wisest shape on the island. Unlike the other two shapes, Circle has magic powers. For example, she can fly, grow very large, and has telekinesis. Triangle (voiced by Scott Adsit) is a pyramid. He is the messiest, silliest, and most disorganized of the shapes.

  3. Incircle and excircles - Wikipedia

    en.wikipedia.org/wiki/Incircle_and_excircles

    An excircle or escribed circle [2] of the triangle is a circle lying outside the triangle, tangent to one of its sides, and tangent to the extensions of the other two. Every triangle has three distinct excircles, each tangent to one of the triangle's sides.

  4. Geometric Shapes (Unicode block) - Wikipedia

    en.wikipedia.org/wiki/Geometric_Shapes_(Unicode...

    black lower right triangle white square with lower right quadrant 2 ◒ ◢ ... inverse white circle square with upper left diagonal half black ...

  5. Missing square puzzle - Wikipedia

    en.wikipedia.org/wiki/Missing_square_puzzle

    However, the blue triangle has a ratio of 5:2 (=2.5), while the red triangle has the ratio 8:3 (≈2.667), so the apparent combined hypotenuse in each figure is actually bent. With the bent hypotenuse, the first figure actually occupies a combined 32 units, while the second figure occupies 33, including the "missing" square.

  6. Triangle center - Wikipedia

    en.wikipedia.org/wiki/Triangle_center

    In geometry, a triangle center or triangle centre is a point in the triangle's plane that is in some sense in the middle of the triangle. For example, the centroid , circumcenter , incenter and orthocenter were familiar to the ancient Greeks , and can be obtained by simple constructions .

  7. Triangle - Wikipedia

    en.wikipedia.org/wiki/Triangle

    Triangles have many types based on the length of the sides and the angles. A triangle whose sides are all the same length is an equilateral triangle, [3] a triangle with two sides having the same length is an isosceles triangle, [4] [a] and a triangle with three different-length sides is a scalene triangle. [7]

  8. Power of a point - Wikipedia

    en.wikipedia.org/wiki/Power_of_a_point

    Determination of a circle, that intersects four circles by the same angle. [2] Solving the Problem of Apollonius; Construction of the Malfatti circles: [3] For a given triangle determine three circles, which touch each other and two sides of the triangle each. Spherical version of Malfatti's problem: [4] The triangle is a spherical one.

  9. Spherical trigonometry - Wikipedia

    en.wikipedia.org/wiki/Spherical_trigonometry

    Construct the great circle from A that is normal to the side BC at the point D. Use Napier's rules to solve the triangle ABD: use c and B to find the sides AD and BD and the angle ∠BAD. Then use Napier's rules to solve the triangle ACD: that is use AD and b to find the side DC and the angles C and ∠DAC. The angle A and side a follow by ...