"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"
"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"