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Let ABC be a triangle with side lengths a, b, and c, with a 2 + b 2 = c 2. Construct a second triangle with sides of length a and b containing a right angle. By the Pythagorean theorem, it follows that the hypotenuse of this triangle has length c = √ a 2 + b 2, the same as the hypotenuse of the first triangle.
Steiner used the power of a point for proofs of several statements on circles, for example: Determination of a circle, that intersects four circles by the same angle. [2] Solving the Problem of Apollonius; Construction of the Malfatti circles: [3] For a given triangle determine three circles, which touch each other and two sides of the triangle ...
The power factor describes the amount of real power transmitted along a transmission line relative to the total apparent power flowing in the line. [5] [6] The power factor can also be computed as the cosine of the angle θ by which the current waveform lags or leads the voltage waveform. [7]
If a circle passing through two of the input points doesn't contain any other input points in its interior, then the segment connecting the two points is an edge of a Delaunay triangulation of the given points. Each triangle of the Delaunay triangulation of a set of points in d-dimensional spaces corresponds to a facet of convex hull of the ...
Power-voltage curve (also P-V curve) describes the relationship between the active power delivered to the electrical load and the voltage at the load terminals in an electric power system under a constant power factor. [1] When plotted with power as a horizontal axis, the curve resembles a human nose, thus it is sometimes called a nose curve. [2]
Jay-Z, the star rapper and entrepreneur whose real name is Shawn Carter, was accused in a lawsuit Sunday of raping a 13-year-old girl in 2000 allegedly along with Sean “Diddy” Combs.
Related: Amy Robach Recalls the Moment T.J. Holmes Told Her He Loved Her After Building 'Deep Foundation of Friendship' The broadcaster said it "was a big day for us a year ago," telling the ...
A triangle whose side lengths are a Pythagorean triple is a right triangle and called a Pythagorean triangle. A primitive Pythagorean triple is one in which a, b and c are coprime (that is, they have no common divisor larger than 1). [1] For example, (3, 4, 5) is a primitive Pythagorean triple whereas (6, 8, 10) is not.