Euclid's Proof Of The Pythagorean Theorem
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@anticorncob6 lol I didn't notice that xD
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@PCGamerPortal Thanks for responding even though my comment was nine months old. I think I understand it.
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@anticorncob6 you prove that the area of a paralelogram is bh, then any 2 congruent triangles can be arranged into a paralelogram with the same base and height as the triangles.
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@AtheistCitizen my math programme at the National Autonomous University of Mexico includes a first semester course entitled modern geometry where we learn about euclid's axiomatic system and construct our geometry from them, later adding other axioms like pasch's axiom. I think it is a very complete course which would be hard to top recreationally by most aspiring mathematicians.
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@PCGamerPortal "first semester" which? U of Chicago undergrad and UNC grad never seen. Most programs assume that you will acquire this sort of knowledge recreationally.
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@PattyManatty Because the area of DAB = 1/2 * area of CEDA and area of CAH = 1/2 * area of AHIK , this is because DAB has the same base and height as CEDA, same for AHIK and CAH.
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you need a better microphone
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@AtheistCitizen that's weird I saw several proofs of this theorem in my first semester
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No need to do the 2nd part!!! As a math major, even grad student, I never spent any energy on such a proof, hence I must thank you for your pf
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Today I want to show you how to use a mic
tibschris 2 months ago 4
@ToddsGen This proof is better then the others because the others just prove that a^2 + b^2 = c^2, where this proof shows that along with that the area of ECAD is the same as AKIH (see video for what I mean), and the same with the other two.
There might be a simpler proof of this, but this is an original. It's cool and should be appriciated.
anticorncob6 1 year ago