A point is said to be equidistant from a set of objects if the distances between that point and each object in the set are equal. In two-dimensional Euclidean geometry, the locus of points equidistant from two given (different) points is their perpendicular bisector. In three dimensions, the locus of points equidistant from two given points is a plane, and generalising further, in n-dimensional space the locus of points equidistant from two points in n-space is an (n−1)-space. For a triangle the circumcentre is a point equidistant from each of the three vertices. Every non-degenerate triangle has such a point. This result can be generalised to cyclic polygons: the circumcentre is equidistant from each of the vertices. Likewise, the incentre of a triangle or any other tangential polygon is equidistant from the points of tangency of the polygon's sides with the circle. Every point on a perpendicular bisector of the side of a triangle or other polygon is equidistant from the two vertices at the ends of that side. Every point on the bisector of an angle of any polygon is equidistant from the two sides that emanate from that angle. The center of a rectangle is equidistant from all four vertices, and it is equidistant from two opposite sides and also equidistant from the other two opposite sides. A point on the axis of symmetry of a kite is equidistant between two sides. The center of a circle is equidistant from every point on the circle. Likewise the center of a sphere is equidistant from every point on the sphere. A parabola is the set of points in a plane equidistant from a fixed point (the focus) and a fixed line (the directrix), where distance from the directrix is measured along a line perpendicular to the directrix. In shape analysis, the topological skeleton or medial axis of a shape is a thin version of that shape that is equidistant from its boundaries. In Euclidean geometry, parallel lines (lines that never intersect) are equidistant in the sense that the distance of any point on one line from the nearest point on the other line is the same for all points. In hyperbolic geometry the set of points that are equidistant from and on one side of a given line form a hypercycle (which is a curve not a line). (Wikipedia).
Irrigation Efficiencies - Part 1
From playlist TEMP 1
The method of determining eigenvalues as part of calculating the sets of solutions to a linear system of ordinary first-order differential equations.
From playlist A Second Course in Differential Equations
Linear Algebra: Ch 3 - Eigenvalues and Eigenvectors (5 of 35) What is an Eigenvector?
Visit http://ilectureonline.com for more math and science lectures! In this video I will explain and show (in general) what is and how to find an eigenvector. Next video in this series can be seen at: https://youtu.be/SGJHiuRb4_s
From playlist LINEAR ALGEBRA 3: EIGENVALUES AND EIGENVECTORS
Lecture: Eigenvalues and Eigenvectors
We introduce one of the most fundamental concepts of linear algebra: eigenvalues and eigenvectors
From playlist Beginning Scientific Computing
A11 Eigenvalues with complex numbers
Eigenvalues which contain complex numbers.
From playlist A Second Course in Differential Equations
A08 Example problem of repeated real eigenvalues
Here is an example problem with repeated eigenvalues.
From playlist A Second Course in Differential Equations
Changing notation with complex eigenvalues.
From playlist A Second Course in Differential Equations
10A An Introduction to Eigenvalues and Eigenvectors
A short description of eigenvalues and eigenvectors.
From playlist Linear Algebra
Eigenvalues | Eigenvalues and Eigenvectors
In this video, we work through some example computations of eigenvalues of 2x2 matrices. Including a case where the eigenvalues are complex numbers. We do not discuss any intuition or definition of eigenvalues or eigenvectors, we simply carry out some elementary computations. If you liked
From playlist Linear Algebra
Perpendicular Bisector of a Line Segment and Triangle
This geometry video tutorial provides a basic introduction into the perpendicular bisector of a line segment and a triangle. it discusses the perpendicular bisector theorem and the definition of perpendicular bisectors in addition to how to use them in a geometry two column proof problem
From playlist Geometry Video Playlist
Three points defining a circle | Special properties and parts of triangles | Geometry | Khan Academy
Three points uniquely define a circle. The center of a circle is the circumcenter of any triangle the circle is circumscribed about. Watch the next lesson: https://www.khanacademy.org/math/geometry/triangle-properties/perpendicular_bisectors/v/area-circumradius-formula-proof?utm_source=YT
From playlist Special properties and parts of triangles | Geometry | Khan Academy
Point-line distance and angle bisectors | Geometry | Khan Academy
Thinking about the distance between a point and a line. Proof that a point on an angle bisector is equidistant to the sides of the angle and a point equidistant to the sides is on an angle bisector Watch the next lesson: https://www.khanacademy.org/math/geometry/triangle-properties/angle_
From playlist Special properties and parts of triangles | Geometry | Khan Academy
Geometry Lecture – Reflections
This lecture discusses the process for constructing a reflection following a path perpendicular and equidistant to the mirror. Additionally, the motion rules are defined for reflections across the x-axis, y-axis, and the lines y = x, and y = -x. A special composition of transformations cal
From playlist Geometry
How to find Locus in a Plane. We go through how to find these sets of points in a number of examples in this free math video tutorial by Mario's Math Tutoring. 0:23 What is a Locus 0:32 Example 1 Find the Locus of Points that are 3 Inches From a Circle of Radius 5 Inches in a Plane. 2:23
From playlist Locus
Angle Bisector Theorem Video Lecture
From playlist Geometry
7.15 Locus of points (perpendicular & angle bisector)Maths Core Skills GCSE Grade C Level 7 help
Locus of points, construction of perpendicular bisector, angle bisector Check out this playlist for all the videos covering Grade C http://www.youtube.com/playlist?list=PL2De0DVeFj3XwC9mpeQBRVO-_fnzHqpVO This video is part of a series that is linked to a specific system for improving Basic
From playlist Core GCSE Maths Skills Grade C
How to find the locus of points in space. We go through some examples in 3 dimensions in this free math video tutorial by Mario's Math Tutoring. 0:30 What are Loci 0:40 How to Describe a Locus of Points and Find the Pattern 0:58 Example 1 Locus of Points that are 3 inches from a Sphere o
From playlist Locus
Introduction to Locus (1 of 3: Concept & Definition)
More resources available at www.misterwootube.com
From playlist Further Work with Functions (related content)
The Equidistant Trick: Best for numbers around a multiple of 5 [Math Trick Monday] #mentalmath
Numbers that share parity (either both odd or both even) will always be equidistant from some integer. When that integer is a multiple of 5, we can use a factoring pattern called the difference of squares to multiply out the original numbers mentally. Subscribe: http://bit.ly/SubTimRicchu
From playlist Number Sense (UIL / PSIA)
MATH272 - 01/31/2018: Eigenvalues, Eigenvectors, ODES
videography - Eric Melton, UVM
From playlist Partial Differential Equations