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54′. In trigonometry, the gradian – also known as the gon (from Ancient Greek γωνία (gōnía) 'angle'), grad, or grade[1] – is a unit of measurement of an angle, defined as one-hundredth of the right angle; in other words, 100 gradians is equal to 90 degrees. [2][3][4] It is equivalent to 1 400 of a turn, [5] 9 10 of ...
A degree (in full, a degree of arc, arc degree, or arcdegree), usually denoted by ° (the degree symbol), is a measurement of a plane angle in which one full rotation is 360 degrees. [4] It is not an SI unit —the SI unit of angular measure is the radian —but it is mentioned in the SI brochure as an accepted unit. [5]
Conformal geometry. In mathematics, conformal geometry is the study of the set of angle-preserving (conformal) transformations on a space. In a real two dimensional space, conformal geometry is precisely the geometry of Riemann surfaces. In space higher than two dimensions, conformal geometry may refer either to the study of conformal ...
grad; gradian; gon: grad ≡ 1 ⁄ 400 of a revolution ≡ π ⁄ 200 rad ≡ 0.9° ≈ 15.707 963 × 10 −3 rad: octant: ≡ 45° ≈ 0.785 398 rad: quadrant: ≡ 90° ≈ 1.570 796 rad: radian (SI unit) rad The angle subtended at the center of a circle by an arc whose length is equal to the circle's radius. One full revolution encompasses ...
Specifically, the divergence of a vector is a scalar. The divergence of a higher-order tensor field may be found by decomposing the tensor field into a sum of outer products and using the identity, where is the directional derivative in the direction of multiplied by its magnitude. Specifically, for the outer product of two vectors,
Gradian → – Gon is the name of this unit in ISO 31-1 (superseded by ISO 80000-3) and in ISO 80000-3 ISO 80000-3#Units of angle. Prefereably is even Gon (angle measurement) (. I think where possible it is best to follow ISO standards. WillemienH 08:25, 27 October 2015 (UTC) Probably oppose. I think ISO standards are at best a tiebreaker.
Equivalently, a convex set or a convex region is a subset that intersects every line into a single line segment (possibly empty). [1][2] For example, a solid cube is a convex set, but anything that is hollow or has an indent, for example, a crescent shape, is not convex. The boundary of a convex set in the plane is always a convex curve.
Ptolemy's table of chords. The table of chords, created by the Greek astronomer, geometer, and geographer Ptolemy in Egypt during the 2nd century AD, is a trigonometric table in Book I, chapter 11 of Ptolemy's Almagest, [ 1] a treatise on mathematical astronomy. It is essentially equivalent to a table of values of the sine function.