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  2. Internal and external angles - Wikipedia

    en.wikipedia.org/wiki/Internal_and_external_angles

    The interior angle concept can be extended in a consistent way to crossed polygons such as star polygons by using the concept of directed angles.In general, the interior angle sum in degrees of any closed polygon, including crossed (self-intersecting) ones, is then given by 180(n – 2k)°, where n is the number of vertices, and the strictly positive integer k is the number of total (360 ...

  3. Deck railing - Wikipedia

    en.wikipedia.org/wiki/Deck_railing

    Deck railing is a guard rail to prevent people falling from decks, stairs and balconies of buildings. Over time, many different styles of deck railing have been developed. Over time, many different styles of deck railing have been developed.

  4. Grade (slope) - Wikipedia

    en.wikipedia.org/wiki/Grade_(slope)

    (This is the angle α opposite the "rise" side of a triangle with a right angle between vertical rise and horizontal run.) as a percentage, the formula for which is which is equivalent to the tangent of the angle of inclination times 100. In Europe and the U.S. percentage "grade" is the most commonly used figure for describing slopes.

  5. Stairs - Wikipedia

    en.wikipedia.org/wiki/Stairs

    Other forms include stairs with winders that curve or bend at an acute angle, three flights of stairs that join at a landing to form a T-shape, and stairs with balconies and complex designs. A "mono string" staircase is a term used for a staircase with treads arranged along a single steel beam.

  6. Speed square - Wikipedia

    en.wikipedia.org/wiki/Speed_square

    Common lines made using a speed square include perpendicular cut marks and Angles definition of an angle for roofs, stairways, and decks. The tool uses a 0° reference. This means when a board is squared off the tool reads 0°. The angle derived is actually a complementary angle, for example a 22.5° angle is actually 67.5°. The sum of the ...

  7. Discrete exterior calculus - Wikipedia

    en.wikipedia.org/wiki/Discrete_exterior_calculus

    In mathematics, the discrete exterior calculus (DEC) is the extension of the exterior calculus to discrete spaces including graphs, finite element meshes, and lately also general polygonal meshes [1] (non-flat and non-convex). DEC methods have proved to be very powerful in improving and analyzing finite element methods: for instance, DEC-based ...

  8. Staircase - Wikipedia

    en.wikipedia.org/wiki/Staircase

    Good lighting is important in a staircase so users see where they are going and to prevent falls. [6] There is often a window on the wall to let in daylight.In many cases, indoor stairs are placed far inside the building structure, and it is often not easy to get access to a wall on the outside where it would be natural to have a regular window for letting daylight in.

  9. Straightedge and compass construction - Wikipedia

    en.wikipedia.org/wiki/Straightedge_and_compass...

    Angle trisection is the construction, using only a straightedge and a compass, of an angle that is one-third of a given arbitrary angle. This is impossible in the general case. For example, the angle 2 π /5 radians (72° = 360°/5) can be trisected, but the angle of π /3 radians (60°) cannot be trisected. [8]

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