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  2. Heel lift - Wikipedia

    en.wikipedia.org/wiki/Heel_lift

    Heel lifts, also known as shoe inserts, are commonly used as therapy for leg-length differences leading to knee, hip, and back pain. They attempt to reduce stress on the Achilles' tendon during healing, and for various rehabilitation uses. The intent of a heel lift is not to absorb shock or spread pressure on the foot, but to raise one foot in ...

  3. Sacred geometry - Wikipedia

    en.wikipedia.org/wiki/Sacred_geometry

    Sacred geometry. Inner section of Kepler's Platonic solid model of planetary spacing in the Solar System from Mysterium Cosmographicum (1596) Sacred geometry ascribes symbolic and sacred meanings to certain geometric shapes and certain geometric proportions. [1] It is associated with the belief of a divine creator of the universal geometer. The ...

  4. Sacrum - Wikipedia

    en.wikipedia.org/wiki/Sacrum

    The sacrum (pl.: sacra or sacrums [1]), in human anatomy, is a large, triangular bone at the base of the spine that forms by the fusing of the sacral vertebrae (S1–S5) between ages 18 and 30. [ 2 ] The sacrum situates at the upper, back part of the pelvic cavity , between the two wings of the pelvis .

  5. Frenet–Serret formulas - Wikipedia

    en.wikipedia.org/wiki/Frenet–Serret_formulas

    The Frenet–Serret formulas were generalized to higher-dimensional Euclidean spaces by Camille Jordan in 1874. Suppose that r(s) is a smooth curve in and that the first n derivatives of r are linearly independent. [2] The vectors in the Frenet–Serret frame are an orthonormal basis constructed by applying the Gram-Schmidt process to the ...

  6. Shoelace formula - Wikipedia

    en.wikipedia.org/wiki/Shoelace_formula

    Shoelace scheme for determining the area of a polygon with point coordinates (,),..., (,). The shoelace formula, also known as Gauss's area formula and the surveyor's formula, [1] is a mathematical algorithm to determine the area of a simple polygon whose vertices are described by their Cartesian coordinates in the plane. [2]

  7. Inverse trigonometric functions - Wikipedia

    en.wikipedia.org/wiki/Inverse_trigonometric...

    e. In mathematics, the inverse trigonometric functions (occasionally also called antitrigonometric, [1] cyclometric, [2] or arcus functions [3]) are the inverse functions of the trigonometric functions, under suitably restricted domains. Specifically, they are the inverses of the sine, cosine, tangent, cotangent, secant, and cosecant functions ...

  8. Euclidean geometry - Wikipedia

    en.wikipedia.org/wiki/Euclidean_geometry

    Euclidean geometry is a mathematical system attributed to ancient Greek mathematician Euclid, which he described in his textbook on geometry, Elements. Euclid's approach consists in assuming a small set of intuitively appealing axioms (postulates) and deducing many other propositions (theorems) from these. Although many of Euclid's results had ...

  9. Truncation (geometry) - Wikipedia

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

    Truncated square is a regular octagon: t {4} = {8} =. Truncated cube. t {4,3} or. Truncated cubic honeycomb. t {4,3,4} or. In geometry, a truncation is an operation in any dimension that cuts polytope vertices, creating a new facet in place of each vertex. The term originates from Kepler 's names for the Archimedean solids.