The tangent-secant theorem describes the relation of line segments created by a secant and a tangent line with the associated circle. This result is found as Proposition 36 in Book 3 of Euclid's Elements. Given a secant g intersecting the circle at points G1 and G2 and a tangent t intersecting the circle at point T and given that g and t intersect at point P, the following equation holds: The tangent-secant theorem can be proven using similar triangles (see graphic). Like the intersecting chords theorem and the intersecting secants theorem, the tangent-secant theorem represents one of the three basic cases of a more general theorem about two intersecting lines and a circle, namely, the power of point theorem. (Wikipedia).
How to find x for a secant and a tangent line of a circle
Learn how to solve problems with secant lines. A secant line is a line that intersects a circle at exactly 2 points in contrast to a tangent line which is a line that touches a circle at exactly one point. When two secant lines intersect, then the product of the length of the portion of
From playlist Circles
How do the lengths of tangent and secant line compare from a point outside of a circle
Learn how to solve problems with secant lines. A secant line is a line that intersects a circle at exactly 2 points in contrast to a tangent line which is a line that touches a circle at exactly one point. When two secant lines intersect, then the product of the length of the portion of
From playlist Circles
Determine the missing value based on the length of two secant lines
Learn how to solve problems with secant lines. A secant line is a line that intersects a circle at exactly 2 points in contrast to a tangent line which is a line that touches a circle at exactly one point. When two secant lines intersect, then the product of the length of the portion of
From playlist Circles
What is the relationship of lengths for two secant lines from a point outside of a circle
Learn how to solve problems with secant lines. A secant line is a line that intersects a circle at exactly 2 points in contrast to a tangent line which is a line that touches a circle at exactly one point. When two secant lines intersect, then the product of the length of the portion of
From playlist Circles
How to find the measure of an angle that is inscribed from a secant and tangent line
Learn how to solve problems with secant lines. A secant line is a line that intersects a circle at exactly 2 points in contrast to a tangent line which is a line that touches a circle at exactly one point. When two secant lines intersect, then the product of the length of the portion of
From playlist Circles
Determine the missing value for the length on a secant line using a tangent line
Learn how to solve problems with secant lines. A secant line is a line that intersects a circle at exactly 2 points in contrast to a tangent line which is a line that touches a circle at exactly one point. When two secant lines intersect, then the product of the length of the portion of
From playlist Circles
Find the missing value using two secant lines from a point outside of the circle
Learn how to solve problems with secant lines. A secant line is a line that intersects a circle at exactly 2 points in contrast to a tangent line which is a line that touches a circle at exactly one point. When two secant lines intersect, then the product of the length of the portion of
From playlist Circles
Learn to find the missing angle outside of a circle with a secant and tangent line
Learn how to solve problems with secant lines. A secant line is a line that intersects a circle at exactly 2 points in contrast to a tangent line which is a line that touches a circle at exactly one point. When two secant lines intersect, then the product of the length of the portion of
From playlist Circles
Power Theorems - Chords, Secants & Tangents - Circle Theorems - Geometry
This geometry video tutorial provides a basic introduction into the power theorems of circles which is based on chords, secants, and tangents. It covers the chord chord power theorem, the secant tangent power theorem, and the secant secant power theorem. The chord chord power theorem sta
From playlist Geometry Video Playlist
This geometry video tutorial provides a basic introduction into circle theorems. It contains plenty of examples and practice problems. Here is a list of topics: 1. If a radius is perpendicular to a chord, it bisects the chord into two congruent segments. The point of contact is the mid
From playlist Geometry Video Playlist
The MEAN Value Theorem is Actually Very Nice
Description: The mean value theorem formalizes our intuition that for "nice" function, you can find places where the tangent line has the same slope as the secant line. Learning Objectives: 1) State the Mean Value Theorem, including the conditions. 2) Construct examples demonstrating th
From playlist Calculus I (Limits, Derivative, Integrals) **Full Course**
Introduction to Right Triangle Trigonometry (Precalculus - Trigonometry 30)
What Sine, Cosine, Tangent and the reciprocal functions refer to in a Right Triangle and how to use them. Also discussed is the Co-Function relationships and the identities that come from them. Support: https://www.patreon.com/ProfessorLeonard
From playlist Precalculus - College Algebra/Trigonometry
Calculus: We state and prove the Mean Value Theorem: If f is continuous on [a,b] and differentiable on (a,b), then there exists an x in (a, b) such that f'(x) = (f(b) - f(a))/(b-a). Example given are (a) f(x) = x^2 - 4x + 5 on [0, 3], and (b) f(x) = |x| on [-1. 3].
From playlist Calculus Pt 1: Limits and Derivatives
This calculus video tutorial provides a basic introduction into the mean value theorem. It contains plenty of examples and practice problems that show you how to find the value of c in the closed interval [a,b] that satisfies the mean value theorem. For the mean value theorem to be appli
From playlist New Calculus Video Playlist
Three ways to find the radius of tangent circles!
We solve a problem from the 1989 Mathcounts competition. We have two congruent and tangent circles, O and P. We have a tangent from P to point A on circle O, and this tangent has length 15. We want to find the radius of circle P. We'll solve this problem three different ways! We'll use the
From playlist Math Competition Problems
This geometry video tutorial provides a basic introduction into circles. It contains plenty of examples and multiple choice practice problems for you to work on. Here is a list of topics: 1. Inscribed angles in circles and intercepted arcs 2. Radius and chord theorem 3. Diameter and c
From playlist Geometry Video Playlist
Circles (Complete Geometry Course Lesson 10)
This is the tenth lesson in the Mario's Math Tutoring's Complete Geometry Course here on YouTube! In this video we take a deep dive into circles discussing formulas related to central angles, inscribed angles, arc measures, chord lengths, secant lengths, tangent lengths, and more! Join th
From playlist Geometry Course (Complete Course - Mario's Math Tutoring)
How to determine the angle of an inscribed angle of a tangent and secant line
Learn how to solve problems with secant lines. A secant line is a line that intersects a circle at exactly 2 points in contrast to a tangent line which is a line that touches a circle at exactly one point. When two secant lines intersect, then the product of the length of the portion of
From playlist Circles