Theorems about triangles | Articles containing proofs | Area | Euclidean plane geometry

Pappus's area theorem

Pappus's area theorem describes the relationship between the areas of three parallelograms attached to three sides of an arbitrary triangle. The theorem, which can also be thought of as a generalization of the Pythagorean theorem, is named after the Greek mathematician Pappus of Alexandria (4th century AD), who discovered it. (Wikipedia).

Pappus's area theorem
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Theorem of Pappus (KristaKingMath)

► My Applications of Integrals course: https://www.kristakingmath.com/applications-of-integrals-course Learn how to use the Theorem of Pappus to find the volume of a solid, in this particular case, a right circular cone. Theorem of Pappus tells us that volume is equal to area of the plane

From playlist Calculus II

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Ex: Determine the Distance Between Two Points Using the Pythagorean Theorem

This video explains how to determine the distance between two points on the coordinate plane using the Pythagorean Theorem. http://mathispower4u.com

From playlist Using the Pythagorean Theorem

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Mechanical Engineering: Centroids & Center of Gravity (24 of 35) Pappus-Guldinus Theorem 1 Explained

Visit http://ilectureonline.com for more math and science lectures! In this video I will explain the first theorem of Pappus-Guldinius of finding the area of an object. Next video in this series can be seen at: https://youtu.be/ZQv-eF80FA0

From playlist MECHANICAL ENGINEERING 4 - CENTER OF GRAVITY

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Pappus' theorem and the cross ratio | Universal Hyperbolic Geometry 3 | NJ Wildberger

Pappus' theorem is the first and foremost result in projective geometry. Another of his significant contributions was the notion of cross ratio of four points on a line, or of four lines through a point. We discuss various important results: such as the Cross ratio theorem, asserting the

From playlist Universal Hyperbolic Geometry

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Mechanical Engineering: Centroids & Center of Gravity (26 of 35) Area=? using Pappus-Guldinus

Visit http://ilectureonline.com for more math and science lectures! In this video I will find the area of a straight line from the origin rotated about the axis (hollow cone). Next video in this series can be seen at: https://youtu.be/YoGMKCUBxyI

From playlist MECHANICAL ENGINEERING 4 - CENTER OF GRAVITY

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Mechanical Engineering: Centroids & Center of Gravity (25 of 35) Pappus-Guldinus Theorem 2 Explained

Visit http://ilectureonline.com for more math and science lectures! In this video I will explain the first theorem of Pappus-Guldinius of finding the volume of an object. Next video in this series can be seen at: https://youtu.be/Ca-hf-1RtY8

From playlist MECHANICAL ENGINEERING 4 - CENTER OF GRAVITY

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Heron's Formula

This video explains how to determine the area of a triangle given the length of the three sides. http://mathispower4u.yolasite.com/

From playlist Solving Triangles Using the Law of Sines and Law of Cosines

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Theorem of Pappus to find Volume of Revolution Calculus 2

If you'd like to make a donation to support my efforts look for the "Tip the Teacher" button on my channel's homepage www.YouTube.com/Profrobbob I introduce the Theorem of Pappus and then work through 2 examples. The first example is finding the volume of a Tarus at 2:40 and the second ex

From playlist Calculus 2

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Visual Proof of Pythagoras' Theorem

More resources available at www.misterwootube.com

From playlist Pythagoras’ Theorem

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Mechanical Engineering: Centroids & Center of Gravity (30 of 35) Area, Vol=? using Pappus-Guldinus

Visit http://ilectureonline.com for more math and science lectures! In this video I will find the area and volume of a ½ circle rotated about the x-axis. Next video in this series can be seen at: https://youtu.be/fDJWSK-wWtk

From playlist MECHANICAL ENGINEERING 4 - CENTER OF GRAVITY

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Applying the pythagorean formula to multiple triangles to find the missing length

Learn about the Pythagorean theorem. The Pythagoras theorem is a fundamental relation among the three sides of a right triangle. It is used to determine the missing length of a right triangle. The Pythagoras theorem states that the square of the hypotenuse (the side opposite the right angl

From playlist Geometry - PYTHAGOREAN THEOREM

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Mechanical Engineering: Centroids & Center of Gravity (29 of 35) Area=? using Pappus-Guldinus

Visit http://ilectureonline.com for more math and science lectures! In this video I will find the area (hollow doughnut) of a circle away from the origin rotated about the x-axis. Next video in this series can be seen at: https://youtu.be/3tqdTQavUt8

From playlist MECHANICAL ENGINEERING 4 - CENTER OF GRAVITY

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Mechanical Engineering: Centroids & Center of Gravity (35 of 35) Volume=? using Pappus-Guldinus

Visit http://ilectureonline.com for more math and science lectures! In this video I will volume of the area bounded by the curve y=3x^2 rotated about the x-axis (solid trumpet). First video in this series can be seen at: https://youtu.be/Tkyk-G1rDQg

From playlist MECHANICAL ENGINEERING 4 - CENTER OF GRAVITY

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Mechanical Engineering: Centroids & Center of Gravity (33 of 35) Volume=? using Pappus-Guldinus

Visit http://ilectureonline.com for more math and science lectures! In this video I will find the volume (doughnut) of a circular area away from the origin rotated about the x-axis. Next video in this series can be seen at: https://youtu.be/Sn5IX8Uti1s

From playlist MECHANICAL ENGINEERING 4 - CENTER OF GRAVITY

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finding the volume of a Krispy Kreme donut by using calculus

Use my link today to get $250 off of the Polygence program! https://bit.ly/3tQV85h We will find the volume of a Krispy Kreme donut by using calculus! I always show my students how to find the volume of a donut (aka the volume of a torus) during my last calculus 1 lecture. I would also bu

From playlist Binge-able math for fun videos (2022)

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A Pythagorean Theorem for Pentagons + Einstein's Proof

Pythagoras's Theorem is the most famous theorem in mathematics, commonly stated as "the square on the hypotenuse of a right-angled triangle is equal to the sum of the squares on the other two sides." However, Pythagoras's Theorem is not just for squares. In fact it works for any shape.

From playlist My Maths Videos

Related pages

Pythagorean theorem | Parallelogram | Pappus of Alexandria | Triangle