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  2. Rule of thirds - Wikipedia

    en.wikipedia.org/wiki/Rule_of_thirds

    The horizon in the photograph is on the horizontal line dividing the lower third of the photo from the upper two-thirds. The tree is at the intersection of two lines, sometimes called a power point [1] or a crash point. [2] The rule of thirds is a rule of thumb for composing visual art such as designs, films, paintings, and photographs. [3]

  3. Composition (visual arts) - Wikipedia

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

    The rule of thirds is a composition guide that states that arranging the important features of an image on or near the horizontal and vertical lines that would divide the image into thirds horizontally and vertically is visually pleasing.

  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. Sawing a woman in half - Wikipedia

    en.wikipedia.org/wiki/Sawing_a_woman_in_half

    The box is then closed and lifted into a horizontal position on a set of trestles. The magician then slides glass plates through the crate (and apparently through his assistant). The magician then saws right through the centre of the box, dividing it into two. The sections are pulled slightly apart and the assistant's torso is visible.

  6. Angle trisection - Wikipedia

    en.wikipedia.org/wiki/Angle_trisection

    A "tomahawk" is a geometric shape consisting of a semicircle and two orthogonal line segments, such that the length of the shorter segment is equal to the circle radius. Trisection is executed by leaning the end of the tomahawk's shorter segment on one ray, the circle's edge on the other, so that the "handle" (longer segment) crosses the angle ...

  7. Half-space (geometry) - Wikipedia

    en.wikipedia.org/wiki/Half-space_(geometry)

    A half-space can be either open or closed. An open half-space is either of the two open sets produced by the subtraction of a hyperplane from the affine space. A closed half-space is the union of an open half-space and the hyperplane that defines it. The open (closed) upper half-space is the half-space of all (x 1, x 2, ..., x n) such that x n > 0

  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. Compulsory figures - Wikipedia

    en.wikipedia.org/wiki/Compulsory_figures

    The figure's long axis divided it longitudinally into equal-sized halves, and the figure's short axes divided the figures into equal-sized lobes. [ 47 ] Curves, which are parts of circles, had to be performed with an uninterrupted tracing and with a single clean edge, with no subcurves or wobbles. [ 48 ]