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A triangle center P is said to be a major triangle center if the trilinear coordinates of P can be expressed in the form (): (): where is a function of the angle X alone and does not depend on the other angles or on the side lengths. [9]
Picotron is a virtual machine and desktop environment created by Lexaloffle Games. It is a fantasy workstation that is aimed at making retro style video games and mimics the specifications of 16-bit computers of the late 1980s. [1]
Given a triangle with sides of length a, b, and c, if a 2 + b 2 = c 2, then the angle between sides a and b is a right angle. For any three positive real numbers a, b, and c such that a 2 + b 2 = c 2, there exists a triangle with sides a, b and c as a consequence of the converse of the triangle inequality.
The center of the incircle is a triangle center called the triangle's incenter. [1] An excircle or escribed circle [2] of the triangle is a circle lying outside the triangle, tangent to one of its sides and tangent to the extensions of the other two. Every triangle has three distinct excircles, each tangent to one of the triangle's sides. [3]
The Encyclopedia of Triangle Centers (ETC) is an online list of thousands of points or "centers" associated with the geometry of a triangle. This resource is hosted at the University of Evansville . It started from a list of 400 triangle centers published in the 1998 book Triangle Centers and Central Triangles by Professor Clark Kimberling .
Geodesic subdivisions can also be done from an augmented dodecahedron, dividing pentagons into triangles with a center point, and subdividing from that Chiral polyhedra with higher order polygonal faces can be augmented with central points and new triangle faces. Those triangles can then be further subdivided into smaller triangles for new ...
The following result can be used to locate the Spieker center of any triangle. [1] The Spieker center of triangle ABC is the incenter of the medial triangle of ABC. That is, the Spieker center of ABC is the center of the circle inscribed in the medial triangle of ABC. This circle is known as the Spieker circle.
It was developed for Acorn Computers as a full implementation of Logo. It features multiple screen turtles and four-channel sound. It was provided on two 16kB ROMs, with utilities and drivers as accompanying software. [18] Lego Logo is a version of Logo that can manipulate robotic Lego bricks attached to a computer. [19]