Thomsen's theorem, named after Gerhard Thomsen, is a theorem in elementary geometry. It shows that a certain path constructed by line segments being parallel to the edges of a triangle always ends up at its starting point.
Consider an arbitrary triangle ABC with a point P1 on its edge BC. A sequence of points and parallel lines is constructed as follows. The parallel line to AC through P1 intersects AB in P2 and the parallel line to BC through P2 intersects AC in P3. Continuing in this fashion the parallel line to AB through P3 intersects BC in P4 and the parallel line to AC through P4 intersects AB in P5. Finally the parallel line to BC through P5 intersects AC in P6 and the parallel line to AB through P6 intersects BC in P7. Thomsen's theorem now states that P7 is identical to P1 and hence the construction always leads to a closed path P1P2P3P4P5P6P1
In geometry, two geometric objects are perpendicular if their intersection forms right angles at the point of intersection called a foot. The condition of perpendicularity may be represented graphically using the perpendicular symbol, ⟂. Perpendicular intersections can happen between two lines, between a line and a plane, and between two planes.
In geometry, an altitude of a triangle is a line segment through a given vertex and perpendicular to a line containing the side or edge opposite the apex. This (finite) edge and (infinite) line extension are called, respectively, the base and extended base of the altitude. The point at the intersection of the extended base and the altitude is called the foot of the altitude. The length of the altitude, often simply called "the altitude" or "height", symbol h, is the distance between the foot and the apex. The process of drawing the altitude from a vertex to the foot is known as dropping the altitude at that vertex. It is a special case of orthogonal projection.
In geometry, Thales's theorem states that if A, B, and C are distinct points on a circle where the line AC is a diameter, the angle ∠ ABC is a right angle. Thales's theorem is a special case of the inscribed angle theorem and is mentioned and proved as part of the 31st proposition in the third book of Euclid's Elements. It is generally attributed to Thales of Miletus, but it is sometimes attributed to Pythagoras.
In projective geometry, Desargues's theorem, named after Girard Desargues, states:
Cornish wrestling is a form of wrestling that has been established in Cornwall for many centuries and possibly longer. It is similar to the Breton Gouren wrestling style. It is colloquially known as "wrasslin’" in the Cornish dialect of English; historically, this usage is attested by Chaucer, Shakespeare and Drayton.
In mathematics, Pappus's hexagon theorem states that
In geometry, the angle bisector theorem is concerned with the relative lengths of the two segments that a triangle's side is divided into by a line that bisects the opposite angle. It equates their relative lengths to the relative lengths of the other two sides of the triangle.
In mathematics, the Cayley–Bacharach theorem is a statement about cubic curves in the projective plane P2. The original form states:
In geometry, given a triangle ABC and a point P on its circumcircle, the three closest points to P on lines AB, AC, and BC are collinear. The line through these points is the Simson line of P, named for Robert Simson. The concept was first published, however, by William Wallace in 1799, and is sometimes called the Wallace line.
Robot software is the set of coded commands or instructions that tell a mechanical device and electronic system, known together as a robot, what tasks to perform. Robot software is used to perform autonomous tasks. Many software systems and frameworks have been proposed to make programming robots easier.
A binary multiplier is an electronic circuit used in digital electronics, such as a computer, to multiply two binary numbers.
The intercept theorem, also known as Thales's theorem, basic proportionality theorem or side splitter theorem, is an important theorem in elementary geometry about the ratios of various line segments that are created if two rays with a common starting point are intercepted by a pair of parallels. It is equivalent to the theorem about ratios in similar triangles. It is traditionally attributed to Greek mathematician Thales. It was known to the ancient Babylonians and Egyptians, although its first known proof appears in Euclid's Elements.
DR Radio was a division of Danish Broadcasting Corporation - DR - concerned with radio programming. The radio stations are now part of several divisions: DR Medier (P1), DR Ung (P3), DR Musik, DR Danmark.
In mathematics, a Carlyle circle is a certain circle in a coordinate plane associated with a quadratic equation; it is named after Thomas Carlyle. The circle has the property that the solutions of the quadratic equation are the horizontal coordinates of the intersections of the circle with the horizontal axis. Carlyle circles have been used to develop ruler-and-compass constructions of regular polygons.
The 2017 FEI European Championships was held in Gothenburg, Sweden, from 21 to 27 August 2017. Equestrian competitions were held in four disciplines: jumping, dressage, driving and para-dressage. The main venues were Ullevi, Heden and Slottsskogen.
Hyperbolic geometry is a non-Euclidean geometry where the first four axioms of Euclidean geometry are kept but the fifth axiom, the parallel postulate, is changed. The fifth axiom of hyperbolic geometry says that given a line L and a point P not on that line, there are at least two lines passing through P that are parallel to L. As in Euclidean geometry, where ancient Greek mathematicians used a compass and idealized ruler for constructions of lengths, angles, and other geometric figures, constructions can also be made in hyperbolic geometry.
In geometry, the Newton–Gauss line is the line joining the midpoints of the three diagonals of a complete quadrilateral.
Maxwell's theorem is the following statement about triangles in the plane.
For a given triangle and a point not on the sides of that triangle construct a second triangle , such that the side is parallel to the line segment , the side is parallel to the line segment and the side is parallel to the line segment . Then the parallel to through , the parallel to through and the parallel to through intersect in a common point .
The Anacostia–Eckington Line, designated Route P6, is a daily bus route operated by the Washington Metropolitan Area Transit Authority between Rhode Island Avenue–Brentwood station of the Red Line of the Washington Metro and Anacostia station of the Green Line of the Washington Metro With late night and early morning trips shortened to operate between Anacostia station of the Green Line of the Washington Metro and L'Enfant Plaza station of the Blue, Orange, Silver, Green and Yellow Lines of the Washington Metro. The line operates every 15–20 minutes during the weekday peak hours, 24 minutes during the weekday midday, and 30–35 minutes during the late nights and weekends. Route P6 trips are roughly 65 minutes long.
Road signs in Ecuador are regulated in Manual Básico de Señalización Vial and Reglamento Técnico Ecuatoriano. RTE INEN 004-1:2011. Señalización vial, which is based on the United States' Manual on Uniform Traffic Control Devices (MUTCD) originally developed by the Federal Highway Administration (FHWA). Thus, road signs in Ecuador are similar in design to road signs used in the United States. One of the differences is that Ecuador uses the metric system, for example, vehicle speed is measured in km/h.