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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]
Illustration of numerical integration for the equation ′ =, = Blue: the Euler method, green: the midpoint method, red: the exact solution, =. The step size is = The same illustration for =
The altitude from A (dashed line segment) intersects the extended base at D (a point outside the triangle). In geometry, an altitude of a triangle is a line segment through a given vertex (called apex) and perpendicular to a line containing the side or edge opposite the apex.
One radian is defined as the angle at the center of a circle in a plane that subtends an arc whose length equals the radius of the circle. [6] More generally, the magnitude in radians of a subtended angle is equal to the ratio of the arc length to the radius of the circle; that is, =, where θ is the magnitude in radians of the subtended angle, s is arc length, and r is radius.
The Golden Triangle of Jakarta (Indonesian: Segitiga Emas Jakarta), also referred to as the Medan Merdeka–Thamrin–Sudirman Axis (Indonesian: Poros Medan Merdeka–Thamrin–Sudirman) or the Sudirman–Thamrin–Kuningan Axis (Indonesian: Poros Sudirman–Thamrin–Kuningan), is a roughly triangular area in the center of Jakarta, Indonesia, extending from Central Jakarta to South Jakarta.