Olympiad Geometry Problem #54: Projective Geometry Part 1

preview_player
Показать описание
Due to popular demand, I have created a lesson on how cross ratios work, since I have used them very often on my channel. Just knowing this can help solve many problems, although there are still many other theorems in projective geometry. I hope to post more tutorials on projective geometry in the future!
  1. Michael Greenberg
Рекомендации по теме
Olympiad Geometry Problem 0:11:47

Olympiad Geometry Problem #54: Projective Geometry Part 1

Olympiad Geometry Problem 0:11:04

Olympiad Geometry Problem #55: Projective Geometry Part 2

Olympiad Geometry Problem 0:07:54

Olympiad Geometry Problem #100: Circumcenter Perpendiculars Cyclic Quad

Olympiad Geometry Problem 0:13:29

Olympiad Geometry Problem #57: Altitudes, Midpoint, Circumcircle

Olympiad Geometry Problem 0:07:45

Olympiad Geometry Problem #52: Symmedian Theorem

Olympiad Geometry Problem 0:05:19

Olympiad Geometry Problem #53: Circles, Tangents, Midpoint

Olympiad Geometry Problem 0:08:40

Olympiad Geometry Problem #90: Incircle, Midpoint, Equal Angles

Geometry everyone should 0:00:15

Geometry everyone should learn

Projective Geometry by 1:47:16

Projective Geometry by Ojas Mittal

Olympiad Geometry Problem 0:09:32

Olympiad Geometry Problem #97: Incircle, Tangency Points, Concurrence

Olympiad Geometry Problem 0:09:30

Olympiad Geometry Problem #98: Circumcenter, Midpoints, Equal Angle

Olympiad Geometry Problem 0:05:57

Olympiad Geometry Problem #56: 30 Degree Angle, Find Length

Olympiad Geometry Problem 0:10:15

Olympiad Geometry Problem #28: Isosceles Triangle, Circumcircle, Midpoint

What is Center 0:04:26

What is Center of Perspectivity in Projective Geometry | Math Olympiad Geometry Course

Olympiad Geometry Problem 0:12:19

Olympiad Geometry Problem #75: Poles and Polars Part 1

An Invitation to 0:04:34

An Invitation to Projective Geometry | Math Animations | Math Olympiad, ISI-CMI Entrance

Intro to My 0:07:05

Intro to My Olympiad Geometry Channel

Olympiad Geometry Problem 0:11:42

Olympiad Geometry Problem #71: Isogonal Line Lemma

Olympiad Geometry Problem 0:09:25

Olympiad Geometry Problem #60: Angle Bisector, Parallel, Tangent

Olympiad Geometry Problem 0:11:39

Olympiad Geometry Problem #17: Blanchett's Theorem

Olympiad Geometry Problem 0:06:36

Olympiad Geometry Problem #51: Pascal's Theorem

Angle Bisectors and 0:16:30

Angle Bisectors and a Math Olympiad Geometry Problem [Geometry]

A short geometry 0:05:37

A short geometry problem from the Benelux Math Olympiad

Projective Geometry by 1:36:00

Projective Geometry by Atul Shatavart Nadig - Unofficial IMOTC 2022

Комментарии
Автор

Hi michael, thanks for the videos. Do you have like a playlist of all problems solved/tutorials using projective geo?

qmljqsi
Автор

Can you do more tutorial videos about olympiad geometry on topics such as power of point,
Inversion, and synthetic configurations that show up often on math competitions.
By the way, your content is amazing!!

psinghcpr
Автор

i've noticed a lot of ur videos seem to use projective geometry... does this mean most olympiad geometry problems can be solved using it? how do we know when we should (and when we shouldn't) use projective geometry?

p.s. thanks so much for the awesome vids, they've really quickly helped me familiarise and get comfortable with projective geometry xD

themathjedi
Автор

I have a question. You write (B, E;C, D)=(K, N;M, L). Is it also true that (B, C;E, D)=(K, L;N, M)?

clilhuseynov