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Begin with the Yff central triangle and then parallel-displace the isoscelizers in such a way as to reduce the central triangle to a point while keeping the other three ...

In general, the internal similitude center of two circles C_1=C(x_1,r_1) and C_2=C(x_2,r_2) with centers given in Cartesian coordinates is given by ...

The point that inversion of a curve is performed with respect to.

Given a pair of orthologic triangles, the point where the perpendiculars from the vertices of the first to the sides of the second concur and the point where the ...

The point on the positive ray of the normal vector at a distance rho(s), where rho is the radius of curvature. It is given by z = x+rhoN (1) = x+rho^2(dT)/(ds), (2) where N ...

The second power point is the triangle center with triangle center function alpha_(31)=a^2. It is Kimberling center X_(31).

The third power point is the triangle center with triangle center function alpha_(32)=a^3. It is Kimberling center X_(32).

If G is a perfect group, then the group center of the quotient group G/Z(G), where Z(G) is the group center of G, is the trivial group.

The locus of the similitude center of two circles.

The closed ball with center x and radius r is defined by B_r(x)={y:|y-x|<=r}.