Tangent cone

How to determine the value of x using the definition of a tangent line to a circle

Learn how to solve problems with tangent line. A tangent line to a circle is a line that touches the circle at exactly one point. The tangent line to a circle makes a right angle with the radius of the circle at the point of its tangency. Thus, to solve for any missing value involving the

From playlist Circles

Given a point outside a circle and a tangent line determine the length from the point to center

Learn how to solve problems with tangent line. A tangent line to a circle is a line that touches the circle at exactly one point. The tangent line to a circle makes a right angle with the radius of the circle at the point of its tangency. Thus, to solve for any missing value involving the

From playlist Circles

How to find the perimeter of a triangle given a lot of tangent lines

Learn how to solve problems with tangent line. A tangent line to a circle is a line that touches the circle at exactly one point. The tangent line to a circle makes a right angle with the radius of the circle at the point of its tangency. Thus, to solve for any missing value involving the

From playlist Circles

Learn how to show that a line is tangent to a circle by applying the quadratic formula

Learn how to solve problems with tangent line. A tangent line to a circle is a line that touches the circle at exactly one point. The tangent line to a circle makes a right angle with the radius of the circle at the point of its tangency. Thus, to solve for any missing value involving the

From playlist Circles

Find the point where their exist a horizontal tangent line

👉 Learn how to find the point of the horizontal tangent of a curve. A tangent to a curve is a line that touches a point in the outline of the curve. When given a curve described by the function y = f(x). The value of x for which the derivative of the function y, is zero is the point of hor

From playlist Find the Point Where the Tangent Line is Horizontal

Circle and Tangent Phenomenon

Here’s a neat phenomenon that takes place in the context of a circle & a line drawn tangent to it. How can we prove one segment to be the geometric mean of the other two? 🤔 Source: Antonio Gutierrez. geogebra.org/m/DERWQcdF #GeoGebra

From playlist Geometry: Challenge Problems

How do two tangents line compare if they run through the same point

Learn how to solve problems with tangent line. A tangent line to a circle is a line that touches the circle at exactly one point. The tangent line to a circle makes a right angle with the radius of the circle at the point of its tangency. Thus, to solve for any missing value involving the

From playlist Circles

Determine the value of x when given two tangent lines to a circle

Learn how to solve problems with tangent line. A tangent line to a circle is a line that touches the circle at exactly one point. The tangent line to a circle makes a right angle with the radius of the circle at the point of its tangency. Thus, to solve for any missing value involving the

From playlist Circles

Using the idea that two tangent lines from a point are equal find the perimeter of a circle

Learn how to solve problems with tangent line. A tangent line to a circle is a line that touches the circle at exactly one point. The tangent line to a circle makes a right angle with the radius of the circle at the point of its tangency. Thus, to solve for any missing value involving the

From playlist Circles

Zakhar Kabluchko: Random Polytopes, Lecture III

In these three lectures we will provide an introduction to the subject of beta polytopes. These are random polytopes defined as convex hulls of i.i.d. samples from the beta density proportional to (1 − ∥x∥2)β on the d-dimensional unit ball. Similarly, beta’ polytopes are defined as convex

From playlist Workshop: High dimensional spatial random systems

T. Toro - Geometry of measures and applications (Part 3)

In the 1920's Besicovitch studied linearly measurable sets in the plane, that is sets with locally finite "length". The basic question he addressed was whether the infinitesimal properties of the "length" of a set E in the plane yield geometric information on E itself. This simple question

From playlist Ecole d'été 2015 - Théorie géométrique de la mesure et calcul des variations : théorie et applications

R. Monti - Excess and tangents of sub-Riemannian geodesics

We present some recent results on the regularity problem of sub-Riemannian length minimizing curves. This is a joint work with A. Pigati and D. Vittone. After introducing the notion of excess for a horizontal curve, we show that at any point of a length minimizing curve excess is infinites

From playlist Journées Sous-Riemanniennes 2017

How to Draw Tangent Circles using Cones

Solving the Problem of Apollonius with Conic Sections This video describes a non-standard way of finding tangent circles to a given set of 3 circles, known as the Problem of Apollonius. It uses conic sections rather than straightedge and compass. I feel this approach is more intuitive and

From playlist Summer of Math Exposition Youtube Videos

D. Tewodrose - Limits of Riemannian manifolds satisfying a uniform Kato condition (vt)

I will present a joint work with G. Carron and I. Mondello where we study Kato limit spaces. These are metric measure spaces obtained as Gromov-Hausdorff limits of smooth n-dimensional Riemannian manifolds with Ricci curvature satisfying a uniform Kato-type condition. In this context, stri

From playlist Ecole d'été 2021 - Curvature Constraints and Spaces of Metrics

Jeff CHEEGER - Noncollapsed Gromov - Hausdorff limit spaces with Ricci curvature bounded below

Abstract: https://indico.math.cnrs.fr/event/2432/material/17/0.pdf

From playlist Riemannian Geometry Past, Present and Future: an homage to Marcel Berger

D. Tewodrose - Limits of Riemannian manifolds satisfying a uniform Kato condition

I will present a joint work with G. Carron and I. Mondello where we study Kato limit spaces. These are metric measure spaces obtained as Gromov-Hausdorff limits of smooth n-dimensional Riemannian manifolds with Ricci curvature satisfying a uniform Kato-type condition. In this context, stri

From playlist Ecole d'été 2021 - Curvature Constraints and Spaces of Metrics

Balls and Cones - Numberphile

This is a (stand-alone) continuation of the previous video at: https://youtu.be/2vnqSwWAn34 Featuring Tadashi Tokieda. More links & stuff in full description below ↓↓↓ More Tadashi: http://bit.ly/tadashi_vids Playing cards latest: http://www.bradyharanblog.com/numberphile-playing-cards

From playlist Tadashi Tokieda on Numberphile

Calibrations of Degree Two and Regularity Issues - Constante Bellettini

Constante Bellettini Princeton University; Member, School of Mathematics April 9, 2013 Calibrated currents naturally appear when dealing with several geometric questions, some aspects of which require a deep understanding of regularity properties of calibrated currents. We will review some

From playlist Mathematics

Find the values where the function has horizontal tangents

👉 Learn how to find the point of the horizontal tangent of a curve. A tangent to a curve is a line that touches a point in the outline of the curve. When given a curve described by the function y = f(x). The value of x for which the derivative of the function y, is zero is the point of hor

From playlist Find the Point Where the Tangent Line is Horizontal

The structure of noncollapsed Gromov-Hausdorff limit spaces - Jeff Cheeger [2017]

slides for this talk: https://drive.google.com/file/d/1pvkn4Qew5ZHrDpvs9txzFOsFFDqYfA3E/view?usp=sharing Name: Jeff Cheeger Event: Workshop: Geometry of Manifolds Event URL: view webpage Title: The structure of noncollapsed Gromov-Hausdorff limit spaces with Ricci Curvature bounded below

From playlist Mathematics