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Euler's Line: The combination of Some Collinear Points
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In geometry, the Euler line, named after Leonhard Euler, is a line determined from any triangle that is not equilateral. It is a central line of the triangle, and it passes through several important points determined from the triangle, including the orthocenter, the circumcenter, the centroid, the Exeter point and the center of the nine-point circle of the triangle.
#EulersLine
The concept of a triangle's Euler line extends to the Euler line of other shapes, such as the quadrilateral and the tetrahedron.
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00:00 | Introduction
00:17 | What is Euler's Line & points passing through it ?
00:31 | What is Exeter Point & its position w.r.t. triangle ?
01:14 | What is de Longchamps Point & its position w.r.t. triangle ?
01:05 | What is Schiffler Point & its position w.r.t. triangle ?
02:22 | What is Gossard Perspector Point & its position w.r.t. triangle ?
03:02 | What is Circumcenter of tangential triangle & its position w.r.t. triangle ?
03:19 | What is Homothetic center of orthic & tangential triangle & its position w.r.t. triangle ?
04:10 | Euler's Line & All points which are discussed in the video
04:21 | Important Point which does not lie on Euler's Line
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Suggested Book:
Title: Euler: The Master of Us All (Dolciani Mathematical Expositions)
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Exploders Contest: Season 1
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#EulersLine
The concept of a triangle's Euler line extends to the Euler line of other shapes, such as the quadrilateral and the tetrahedron.
Get early access and support the channel on Patreon
Watch the video and Learn Something Extraordinary...
00:00 | Introduction
00:17 | What is Euler's Line & points passing through it ?
00:31 | What is Exeter Point & its position w.r.t. triangle ?
01:14 | What is de Longchamps Point & its position w.r.t. triangle ?
01:05 | What is Schiffler Point & its position w.r.t. triangle ?
02:22 | What is Gossard Perspector Point & its position w.r.t. triangle ?
03:02 | What is Circumcenter of tangential triangle & its position w.r.t. triangle ?
03:19 | What is Homothetic center of orthic & tangential triangle & its position w.r.t. triangle ?
04:10 | Euler's Line & All points which are discussed in the video
04:21 | Important Point which does not lie on Euler's Line
Subscribe: BRAIN EXPLODERS
Suggested Book:
Title: Euler: The Master of Us All (Dolciani Mathematical Expositions)
A challenge for you in the last of this videos of the playlist Exploders Contest, can you solve that questions? Watch the videos, Take your time & give your answer in the comment section, if your answer is correct, we'll announce your name in our next YouTube video of this playlist -
Exploders Contest: Season 2
Exploders Contest: Season 1
This is the channel to feature this type of questions suggested by the people.
Join us on another platforms:
Instagram: @Brain_Exploders
Facebook: @BrainExploders
Twitter: @BrainExploders
Telegram: @Brain_Exploders
___Show your support to us.
________THANKS FOR WATCHING
#Brain_Exploders
_______________Next video will come soon.
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