When.com Web Search

Search results

  1. Results From The WOW.Com Content Network
  2. Pythagorean theorem - Wikipedia

    en.wikipedia.org/wiki/Pythagorean_theorem

    In mathematics, the Pythagorean theorem or Pythagoras' theorem is a fundamental relation in Euclidean geometry between the three sides of a right triangle.It states that the area of the square whose side is the hypotenuse (the side opposite the right angle) is equal to the sum of the areas of the squares on the other two sides.

  3. Babylonian mathematics - Wikipedia

    en.wikipedia.org/wiki/Babylonian_mathematics

    The volume of a cylinder was taken as the product of the base and the height, however, the volume of the frustum of a cone or a square pyramid was incorrectly taken as the product of the height and half the sum of the bases. The Pythagorean rule was also known to the Babylonians. [21] [22] [23]

  4. Euclidean geometry - Wikipedia

    en.wikipedia.org/wiki/Euclidean_geometry

    The celebrated Pythagorean theorem (book I, proposition 47) states that in any right triangle, the area of the square whose side is the hypotenuse (the side opposite the right angle) is equal to the sum of the areas of the squares whose sides are the two legs (the two sides that meet at a right angle).

  5. Square pyramid - Wikipedia

    en.wikipedia.org/wiki/Square_pyramid

    In geometry, a square pyramid is a pyramid with a square base and four triangles, having a total of five faces. If the apex of the pyramid is directly above the center of the square, it is a right square pyramid with four isosceles triangles; otherwise, it is an oblique square pyramid.

  6. Heron's formula - Wikipedia

    en.wikipedia.org/wiki/Heron's_formula

    By the Pythagorean theorem we have = + and = + according to the figure at the right. Subtracting these yields a 2 − b 2 = c 2 − 2 c d . {\displaystyle a^{2}-b^{2}=c^{2}-2cd.} This equation allows us to express ⁠ d {\displaystyle d} ⁠ in terms of the sides of the triangle: d = − a 2 + b 2 + c 2 2 c . {\displaystyle d={\frac {-a^{2}+b ...

  7. Pyramid (geometry) - Wikipedia

    en.wikipedia.org/wiki/Pyramid_(geometry)

    The volume of a pyramid was recorded back in ancient Egypt, where they calculated the volume of a square frustum, suggesting they acquainted the volume of a square pyramid. [30] The formula of volume for a general pyramid was discovered by Indian mathematician Aryabhata, where he quoted in his Aryabhatiya that the volume of a pyramid is ...

  8. Trirectangular tetrahedron - Wikipedia

    en.wikipedia.org/wiki/Trirectangular_tetrahedron

    If the legs have lengths a, b, c, then the trirectangular tetrahedron has the volume [2] =. The altitude h satisfies [3] = + +. The area of the base is given by [4] =. The solid angle at the right-angled vertex, from which the opposite face (the base) subtends an octant, has measure π /2 steradians, one eighth of the surface area of a unit sphere.

  9. Spiral of Theodorus - Wikipedia

    en.wikipedia.org/wiki/Spiral_of_Theodorus

    The spiral is started with an isosceles right triangle, with each leg having unit length.Another right triangle (which is the only automedian right triangle) is formed, with one leg being the hypotenuse of the prior right triangle (with length the square root of 2) and the other leg having length of 1; the length of the hypotenuse of this second right triangle is the square root of 3.