Posts Tagged ‘interior’
Friday, November 20th, 2009
Interior Angles of Polygons
Description
A detailed tutorial on interior angles of polygons. Step by step tutorial including several examples of interior angles of polygons for reference.
Overview
There are two types of angles on a polygon: interior and exterior angles. In this tutorial, we will focus on interior angles. Interior angles are the angles that are found along the inside of the polygon. Interior angles may seem more difficult to find than exterior angles, because they don’t always add up to the same measurement of degrees. However, there is a formula that can be used to find the total measure of the interior angles. This formula is (n – 2) * 180 = D, where n is the number of sides on the polygon, and D is the total measure of the degrees.
Tags: 180, angle, concave, convex, degrees, formula, Geometry, Inside, interior, irregular, measure, negative, polygon, positive, regular
Posted in Geometry | No Comments »
Thursday, November 12th, 2009
How to Find an Angle Bisector
Description
A detailed tutorial on how to find an angle bisector. Step by step tutorial including several examples on how to find angle bisectors for reference.
Overview
The bisector of an angle is the straight line or line segment that runs right down the center of the angle, splitting in into two rays and creating two angles, that are each half of the measure of the original angle. The bisector is always on the interior of an angle, and because of this it is sometimes called the internal angle bisector. Bisectors can be used with many things, but it is most common to find them used with angles, which is why other bisectors are simply called bisectors, while these are given the name of angle bisectors.
Tags: angle, bisector, center, Geometry, half, interior, internal, line, measure, original, ray, segment
Posted in Geometry | No Comments »
Tuesday, October 6th, 2009
How to Solve a Dirichlet Problem
Description
A detailed tutorial of solving Dirichlet problems. Step by step tutorial including several examples of how to solve Dirichlet problems for reference.
Overview
A Dirichlet problem is a problem of finding a function which solves a specified partial differential equation in the interior of a given region that takes prescribed values on the boundary of the region. It was originally supposed to be used for Laplace’s equation, although other equations can use it as well. The Dirichlet problem can be stated as: given a function f that has values everywhere on the boundary of a region in R^n, is there a unique continuous function u twice continuously differentiable in the interior and continuous on the boundary, such that u is harmonic in the interior and u = f on the boundary? A mathematical solution can be expressed as:
Tags: bounded, continuous, differential equations, Dirichlet, equation, harmonic, interior, Laplace, Math, partial differential equation, problem, region, solution, value
Posted in Differential Equations | No Comments »