The Encyclopedia of Triangle Centers (ETC) is an online list of thousands of points or "centers" associated with the geometry of a triangle. It is maintained by Clark Kimberling, Professor of Mathematics at the University of Evansville. As of 10 November 2022, the list identifies 52,440 triangle centers. Each point in the list is identified by an index number of the form X(n)βfor example, X(1) is the incenter. The information recorded about each point includes its trilinear and barycentric coordinates and its relation to lines joining other identified points. Links to The Geometer's Sketchpad diagrams are provided for key points. The Encyclopedia also includes a glossary of terms and definitions. Each point in the list is assigned a unique name. In cases where no particular name arises from geometrical or historical considerations, the name of a star is used instead. For example, the 770th point in the list is named point Acamar. The first 10 points listed in the Encyclopedia are: Other points with entries in the Encyclopedia include: Similar, albeit shorter, lists exist for quadri-figures (quadrilaterals and systems of four lines) and polygon geometry. (See external links) (Wikipedia).
ENCYCLOPEDIA OF TRIANGLE CENTERS
Clark Kimberling's remarkable Encyclopedia of Triangle Centers is a fabulous resource for geometers! Here is the link to it: http://faculty.evansville.edu/ck6/encyclopedia/ETC.html ************************ Screenshot PDFs for my videos are available at the website http://wildegg.com. Th
From playlist Triangle Geometry
Given the angles of a triangle learn how to classify the triangle ex 3
π Learn how to classify triangles. A triangle is a polygon with three sides. Triangles are classified on the basis of its angles or on the basis of its side lengths. The classification of triangles on the bases of its angles are: acute, right and obtuse triangles. The classification of tri
From playlist Classify Triangles
Based on the angles of a triangle learn how to classify the triangle ex
π Learn how to classify triangles. A triangle is a polygon with three sides. Triangles are classified on the basis of its angles or on the basis of its side lengths. The classification of triangles on the bases of its angles are: acute, right and obtuse triangles. The classification of tri
From playlist Classify Triangles
Learn how to classify a triangle based on the number of sides ex 1
π Learn how to classify triangles. A triangle is a polygon with three sides. Triangles are classified on the basis of its angles or on the basis of its side lengths. The classification of triangles on the bases of its angles are: acute, right and obtuse triangles. The classification of tri
From playlist Classify Triangles
Learn to classify a triangle based on the sides of the triangle ex 7
π Learn how to classify triangles. A triangle is a polygon with three sides. Triangles are classified on the basis of its angles or on the basis of its side lengths. The classification of triangles on the bases of its angles are: acute, right and obtuse triangles. The classification of tri
From playlist Classify Triangles
The Incenter (X1) is the meet of the interior angle bisectors (which I like to call bilines). It is the first point on Clark Kimberling's list of triangle centers at the Enyclopedia of Triangle Centers, from which this Geometer's SKetchpad worksheet is taken. It is important to note that
From playlist Triangle Geometry
Mathematical Games Hosted by Ed Pegg Jr. [Episode 1: Collection of Points and Lines]
Join Ed Pegg Jr. as he explores a variety of games and puzzles using Wolfram Language. In this episode, he features games and puzzles using points and lines. 2:36 Ed begins talking Follow us on our official social media channels. Twitter: https://twitter.com/WolframResearch/ Facebo
From playlist Mathematical Games Hosted by Ed Pegg Jr.
Learn how to classify a triangle by it's sides ex 8
π Learn how to classify triangles. A triangle is a polygon with three sides. Triangles are classified on the basis of its angles or on the basis of its side lengths. The classification of triangles on the bases of its angles are: acute, right and obtuse triangles. The classification of tri
From playlist Classify Triangles
The Gergonne point (X7) is named for Joseph Gergonne, a visionary18th century geometer. ************************ Screenshot PDFs for my videos are available at the website http://wildegg.com. These give you a concise overview of the contents of the lectures for various Playlists: great fo
From playlist Triangle Geometry
Concept 6 - Structure and Function
Crosscutting Concept - Structure and Function Paul Andersen explains how the structure of objects are related to their function and vice versa. He begins with a quick quiz on bicycle construction and ends with a progression of teaching for students grades K-12. He also explains how the
From playlist Next Generation Science Standards
It was left to the great Euler to discover that the Circumcenter, Centroid and Orthocenter lie on a line! ************************ Screenshot PDFs for my videos are available at the website http://wildegg.com. These give you a concise overview of the contents of the lectures for various P
From playlist Triangle Geometry
Advice for Maths | The Pascal Harriot maxel and related sequences, and extending the OEIS | Wild Egg
Is there a need for a dedicated two-dimensional version of Neil Sloane's Online Encyclopedia of Integer Sequences? Now the OEIS does deal with such two-dimensional arrays, but somewhat incidentally. I think it would be useful to have an additional such resource that concentrates on the two
From playlist Maxel inverses and orthogonal polynomials (non-Members)
The Three / Four bridge in Triangle Geometry: Incentres and Orthocentres | Six 6 | Wild Egg
We look at how to cross the Three / Four bridge geometrically: in both directions. This connects with some classical triangle geometry, involving triangle centres going back to ancient Greek geometry. We will touch base with the algebraic orientation to angle bisection, modifying a little
From playlist Six: An elementary course in Pure Mathematics
Triangle Angle Bisectors & Incenter
I introduce Concurrency of Angle Bisectors in Triangles and discuss how they meet at the center of the inscribed circle. EXAMPLES AT 2:23 6:28 Find free review test, useful notes and more at http://www.mathplane.com If you'd like to make a donation to support my efforts look for the "Tip
From playlist Geometry
Learning to classify a triangle given three points
π Learn how to classify triangles. A triangle is a polygon with three sides. Triangles are classified on the basis of its angles or on the basis of its side lengths. The classification of triangles on the bases of its angles are: acute, right and obtuse triangles. The classification of tri
From playlist Classify Triangles
Algebra can' t solve This Equation. But what can ?
Are you a visual thinker ? Today we explore a super fun problem which looks hopeless if you only apply algebra to it ! More on Fermat point: https://en.wikipedia.org/wiki/Fermat_point Explore 50 000 of triangle centres: https://faculty.evansville.edu/ck6/encyclopedia/etc.html Patreon: ht
From playlist Interesting math problems
Label the parts of a triangle ex 1
π Learn how to find the missing side of a triangle. A triangle is a polygon with three sides. Triangles are classified on the basis of the angles or on the basis of the sides. The classification of a triangle on the basis of the sides are: scalene, isosceles, and equilateral triangles. A
From playlist Triangles
How to classify a triangle based on the angles of the triangle ex 2
π Learn how to classify triangles. A triangle is a polygon with three sides. Triangles are classified on the basis of its angles or on the basis of its side lengths. The classification of triangles on the bases of its angles are: acute, right and obtuse triangles. The classification of tri
From playlist Classify Triangles
Rational trigonometry, generalized triangle geometry and four-fold incenter symmetry
This is a seminar talk given to the School of Mathematics and Statistcs, UNSW in April 2013. It describes joint work with Nguyen Le on a generalized triangle geometry. We begin with an introduction to rational trigonometry--an approach to the subject that is almost purely algebraic, replac
From playlist MathSeminars