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  2. Rule of thirds - Wikipedia

    en.wikipedia.org/wiki/Rule_of_thirds

    The rule of thirds is a rule of thumb for composing visual art such as designs, films, paintings, and photographs. [3] The guideline proposes that an image should be imagined as divided into nine equal parts by two equally spaced horizontal lines and two equally spaced vertical lines, and that important compositional elements should be placed ...

  3. Missing square puzzle - Wikipedia

    en.wikipedia.org/wiki/Missing_square_puzzle

    The key to the puzzle is the fact that neither of the 13×5 "triangles" is truly a triangle, nor would either truly be 13x5 if it were, because what appears to be the hypotenuse is bent. In other words, the "hypotenuse" does not maintain a consistent slope , even though it may appear that way to the human eye.

  4. Dividing a circle into areas - Wikipedia

    en.wikipedia.org/wiki/Dividing_a_circle_into_areas

    The number of points (n), chords (c) and regions (r G) for first 6 terms of Moser's circle problem. In geometry, the problem of dividing a circle into areas by means of an inscribed polygon with n sides in such a way as to maximise the number of areas created by the edges and diagonals, sometimes called Moser's circle problem (named after Leo Moser), has a solution by an inductive method.

  5. Composition (visual arts) - Wikipedia

    en.wikipedia.org/wiki/Composition_(visual_arts)

    Shape — areas defined by edges within the piece, whether geometric or organic; Color — hues with their various values and intensities; Texture — surface qualities which translate into tactile illusions; Value — Shading used to emphasize form; Form — 3-D length, width, or depth; Space — the space taken up by (positive) or in between ...

  6. Angle trisection - Wikipedia

    en.wikipedia.org/wiki/Angle_trisection

    The triple-angle formula gives an expression relating the cosines of the original angle and its trisection: cos θ = 4 cos 3 ⁠ θ / 3 ⁠ − 3 cos ⁠ θ / 3 ⁠. It follows that, given a segment that is defined to have unit length, the problem of angle trisection is equivalent to constructing a segment whose length is the root of a cubic ...

  7. Fraction - Wikipedia

    en.wikipedia.org/wiki/Fraction

    To divide a fraction by a whole number, you may either divide the numerator by the number, if it goes evenly into the numerator, or multiply the denominator by the number. For example, 10 3 ÷ 5 {\displaystyle {\tfrac {10}{3}}\div 5} equals 2 3 {\displaystyle {\tfrac {2}{3}}} and also equals 10 3 ⋅ 5 = 10 15 {\displaystyle {\tfrac {10}{3\cdot ...

  8. Dividing a square into similar rectangles - Wikipedia

    en.wikipedia.org/wiki/Dividing_a_square_into...

    However, there are three distinct ways of partitioning a square into three similar rectangles: [1] [2] The trivial solution given by three congruent rectangles with aspect ratio 3:1. The solution in which two of the three rectangles are congruent and the third one has twice the side length of the other two, where the rectangles have aspect ...

  9. Triangle - Wikipedia

    en.wikipedia.org/wiki/Triangle

    A curvilinear triangle is a shape with three curved sides, for instance, a circular triangle with circular-arc sides. (This article is about straight-sided triangles in Euclidean geometry, except where otherwise noted.) Triangles are classified into different types based on their angles and the lengths of their sides.

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