"1) The Euler line points such as X(21) do not produce equilaterals. But, if X = t O + (1-t) H, t ∈ R, and Xa = X(FBcCb), Xb = X(FAcCa), Xc = X(FAbBa), then triangle XaXbXc is equilateral.2) Everything that has been said also holds for X(14).Best regards,Elias M. Hagos"
Let ABC be a triangle with P, Q are two points on Euler line of ABC. A',B',C' are inverse images of A,B,C through circle diame...
"1) The Euler line points such as X(21) do not produce equilaterals. But, if X = t O + (1-t) H, t ∈ R, and
ReplyDeleteXa = X(FBcCb), Xb = X(FAcCa), Xc = X(FAbBa),
then triangle XaXbXc is equilateral.
2) Everything that has been said also holds for X(14).
Best regards,
Elias M. Hagos"