Seminar: Some Fundamental Formulas from Metrical Algebraic Geometry

[@Unidentifying]

Awesomeness!!! Very helpful and interesting. Pretty tough to digest everything, for me.. isnt this very related to tensor calculus regardless the great generality?

[@bernardoxbm]

I saw what you did and I just want to point it out. We have similar formulas for the quadrias of four points (1,2,3,4) in a plane. First the quadruple formula Q(Δ₁₂₃,Δ₁₂₄,Δ₁₃₄,Δ₂₃₄)=0 The quadrances P and R are replaced by the quadrangle quadria □₁₂₃₄=(((Δ₁₂₃-Δ₁₃₄)²-(Δ₁₂₄-Δ₂₃₄)²)/(2(Δ₁₂₃+Δ₁₃₄-Δ₁₂₄-Δ₂₃₄))) □₁₃₂₄=(((Δ₁₂₃-Δ₁₂₄)²-(Δ₁₃₄-Δ₂₃₄)²)/(2(Δ₁₂₃+Δ₁₂₄-Δ₁₃₄-Δ₂₃₄))) □₁₂₄₃=(((Δ₁₂₄-Δ₁₃₄)²-(Δ₁₂₃-Δ₂₃₄)²)/(2(Δ₁₂₄+Δ₁₃₄-Δ₁₂₃-Δ₂₃₄))) And last, the product formula □₁₂₃₄□₁₃₂₄□₁₂₄₃△_{d₁d₂d₃} = 4△₁₂₃△₁₂₄△₁₃₄△₂₃₄ △_{d₁d₂d₃} = quadria of the 3 diagonal points

[@brendawilliams8062]

Thx. Very nice

[@peterosudar6653]

Inspiring.

[@brendawilliams8062]

Thx. I looked the kids up. I just say it’s a lot And again thx