In geometry, a triangle center (or triangle centre) is a point in the plane that is in some sense a center of a triangle akin to the centers of squares and circles, that is, a point that is in the middle of the figure by some measure. For example, the centroid, circumcenter, incenter and orthocenter were familiar to the ancient Greeks, and can be obtained by simple constructions. Each of these classical centers has the property that it is invariant (more precisely equivariant) under similarity transformations. In other words, for any triangle and any similarity transformation (such as a rotation, reflection, dilation, or translation), the center of the transformed triangle is the same point as the transformed center of the original triangle.This invariance is the defining property of a triangle center. It rules out other well-known points such as the Brocard points which are not invariant under reflection and so fail to qualify as triangle centers. For an equilateral triangle, all triangle centers coincide at its centroid. However the triangle centers generally take different positions from each other on all other triangles. The definitions and properties of thousands of triangle centers have been collected in the Encyclopedia of Triangle Centers. (Wikipedia).
This video introduces the medians of a triangle and states the properties of the medians of a triangle. Complete Video List: http://mathispower4u.yolasite.com/
From playlist Relationships with Triangles
The nine-point center (X5) is the center of the circle through the midpoints of a triangle: and lots more! ************************ 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
From playlist Triangle Geometry
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
Classifying triangles by the measure of their sides
👉 Learn all about classifying triangles. A triangle is a closed figure with three sides. A triangle can be classified based on the length of the sides or based on the measure of the angles. To classify a triangle based on the length of the sides, we have: equilateral (3 sides are equal), i
From playlist Triangles
Angle Side Relationships in a Triangle - Geometry
This video focuses on the angle side relationships in a triangle. In particular, I show students how to use the idea that the smallest angle is opposite the smallest side. This concept is used to order the sides of the triangle from least to greatest. Your feedback and requests are encour
From playlist Geometry
Given the angles of a triangle learn how to classify the triangle ex 3
👉 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
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
Incenter, Circumcenter, Orthocenter & Centroid of a Triangle - Geometry
This geometry video tutorial explains how to identify the location of the incenter, circumcenter, orthocenter and centroid of a triangle. The incenter can be found be drawing the 3 angle bisectors of a triangle and identifying the point of intersection. The incenter always lie inside of
From playlist Geometry Video Playlist
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
https://sites.google.com/site/praxishelp/ geometry help
From playlist Praxis Test Help
Trisectors and perspective, an entry to complexity in geometry BrunoAutin
To learn more about Wolfram Technology Conference, please visit: https://www.wolfram.com/events/technology-conference/ Speaker: Bruno Autin Wolfram developers and colleagues discussed the latest in innovative technologies for cloud computing, interactive deployment, mobile devices, and m
From playlist Wolfram Technology Conference 2018
Center of Mass by Integration (Rigid Objects with Shape)
How to find the center of mass of rigid objects with shape using an integral is shown. The center of mass of a right triangle is derived and demonstrated. Want Lecture Notes and/or Animated GIFs? http://www.flippingphysics.com/center-mass-integral.html This is an AP Physics C: Mechanics to
From playlist Center of Mass - AP Physics C: Mechanics
Label the parts of a triangle ex 1
👉 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
Archimedes and the Law of the Lever Module 4: Projects and challenges
This is the fourth and final Module in the PD course (for high school maths educators) Mathematics in The Modern World: Archimedes and the Law of the Lever, which is available at https://www.openlearning.com/courses/archimedesthelawofthelever. In this Module, we look at some problems and
From playlist Mathematics in The Modern World: PD courses for teachers
Triangle Centres and the Euler Line (extra footage)
MAIN VIDEO IS AT: https://youtu.be/wVH4MS6v23U Featuring Zvezdelina Stankova. Editing and animation by Pete McPartlan. Thanks also to Tom Davis of http://geometer.org More videos with Zvezda: http://bit.ly/zvezda_videos NUMBERPHILE Website: http://www.numberphile.com/ Numberphile on Face
From playlist Women in Mathematics - Numberphile
Rachel Quinlan - Paper for Wallpaper - CoM Oct 2021
This talk will present a case for an exploration of the wallpaper groups through the art and craft of origami. It will begin with a brief introduction to folding techniques for tessellations (and other patterns with symmetry), including some elementary moves that can be combined to produce
From playlist Celebration of Mind 2021
All GCSE circle theorems & proofs
In this video I go over the eight circle theorems you need to know for GCSE mathematics, and also provide proofs. Below are the pdfs of the proofs and a blank document that you might want to use to write your own proofs or to help with revision. circle theorem proofs - http://bit.ly/36kkM
From playlist Geometry Revision
Triangles have a Magic Highway - Numberphile
Triangles have multiple centres, and many of them lie on the so-called Euler Line. More links & stuff in full description below ↓↓↓ Extra footage: https://youtu.be/p7oGGSwUFwM Featuring Zvezdelina Stankova. Editing and animation by Pete McPartlan. Thanks also to Tom Davis of http://geomet
From playlist Women in Mathematics - Numberphile
Introduction to the Interior and Exterior Angles of a Triangle.
Complete videos list: http://mathispower4u.yolasite.com/ This video will define the interior and exterior angles of a triangle and then state several theorems involving the interior and exterior angles of a triangle.
From playlist Triangles and Congruence