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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, has a solution by an inductive method.
Viète. de Moivre. Euler. Fourier. v. t. e. In trigonometry, trigonometric identities are equalities that involve trigonometric functions and are true for every value of the occurring variables for which both sides of the equality are defined. Geometrically, these are identities involving certain functions of one or more angles.
A dynamic rectangle is a right-angled, four-sided figure (a rectangle) with dynamic symmetry which, in this case, means that aspect ratio (width divided by height) is a distinguished value in dynamic symmetry, a proportioning system and natural design methodology described in Jay Hambidge 's books. These dynamic rectangles begin with a square ...
The golden ratio φ and its negative reciprocal −φ −1 are the two roots of the quadratic polynomial x 2 − x − 1. The golden ratio's negative −φ and reciprocal φ −1 are the two roots of the quadratic polynomial x 2 + x − 1. The golden ratio is also an algebraic number and even an algebraic integer. It has minimal polynomial
The artifact, made of schist (a term previously used in Egyptology for weakly metamorphic siltstone [2]), is in the shape of a shallow bowl with a diameter of 61 centimetres (24 in) and a maximum height of 10.6 cm (4.2 in). There is a central hole with a diameter of about 8 cm (3.1 in), which is fitted with a socket whose height corresponds ...
Kunz Axe; 1000–400 BCE; jadeite; height: 31 cm (12 3 ⁄ 16 in.), width 16 cm (6 5 ⁄ 16 in.), 11 cm (4 5 ⁄ 16 in.); American Museum of Natural History (New York, NY, USA). The jade Kunz Axe, first described by George Kunz in 1890. Although shaped like an axe head, with an edge along the bottom, it is unlikely that this artifact was used ...
Étude Op. 25, No. 6, in G-sharp minor, is a technical study composed by Frédéric Chopin focusing on thirds, trilling them at a high speed.Also called the Double Thirds Étude, it is considered one of the hardest of Chopin's 24 Études, ranking the highest level of difficulty according to the Henle difficulty rankings.
e. Body mass index (BMI) is a value derived from the mass (weight) and height of a person. The BMI is defined as the body mass divided by the square of the body height, and is expressed in units of kg/m 2, resulting from mass in kilograms (kg) and height in metres (m). The BMI may be determined first by measuring its components by means of a ...