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In Euclidean geometry, the two acute angles in a right triangle are complementary because the sum of internal angles of a triangle is 180 degrees, and the right angle accounts for 90 degrees. The adjective complementary is from the Latin complementum , associated with the verb complere , "to fill up".
These identities are useful whenever expressions involving trigonometric functions need to be simplified. An important application is the integration of non-trigonometric functions: a common technique involves first using the substitution rule with a trigonometric function, and then simplifying the resulting integral with a trigonometric identity.
In computer-aided design the preferred term for a parallel curve is offset curve. [ 2 ] [ 3 ] [ 4 ] (In other geometric contexts, the term offset can also refer to translation . [ 5 ] ) Offset curves are important, for example, in numerically controlled machining , where they describe, for example, the shape of the cut made by a round cutting ...
Offset (computer science), the distance to (displacement of) an element within a data object; Offset (gears), the perpendicular distance between the axes of hypoid or offset-facing gears; Offset (geometry), see parallel curve; Offset (geophysics), the distance between a source and receiver of seismic or other geophysical readings
In trigonometry, the law of sines, sine law, sine formula, or sine rule is an equation relating the lengths of the sides of any triangle to the sines of its angles. According to the law, = = =, where a, b, and c are the lengths of the sides of a triangle, and α, β, and γ are the opposite angles (see figure 2), while R is the radius of the triangle's circumcircle.
In a three-dimensional Euclidean vector space, the orthogonal complement of a line through the origin is the plane through the origin perpendicular to it, and vice versa. [ 5 ] Note that the geometric concept of two planes being perpendicular does not correspond to the orthogonal complement, since in three dimensions a pair of vectors, one from ...
A declared mayoral candidate, city Comptroller Brad Lander, is asking US health officials to determine whether ex-Gov. Andrew Cuomo's controversial March 25, 2020 order requiring nursing homes to ...
The perpendicular bisectors of the sides also play a prominent role in triangle geometry. The Euler line of an isosceles triangle is perpendicular to the triangle's base. The Droz-Farny line theorem concerns a property of two perpendicular lines intersecting at a triangle's orthocenter .
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