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The third Lemoine circle, a term coined here for the first time, is the circumcircle of the Lemoine triangle. It has center function alpha=(f(a,b,c))/a, (1) where f(a,b,c) is ...
A prime factorization algorithm which uses residues produced in the continued fraction of sqrt(mN) for some suitably chosen m to obtain a square number. The algorithm solves ...
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.
A perspective collineation in which the center and axis are incident.
The closed ball with center x and radius r is defined by B_r(x)={y:|y-x|<=r}.
The first Morley center is the center of Morley's circle. It has triangle center function alpha_(356)=cos(1/3A)+2cos(1/3B)cos(1/3C) and is Kimberling center X_(356).
A line that passes through the center of a circle or sphere.
The locus of the similitude center of two circles.
A curve which can be turned continuously inside an equilateral triangle. There are an infinite number of delta curves, but the simplest are the circle and lens-shaped ...
The second power point is the triangle center with triangle center function alpha_(31)=a^2. It is Kimberling center X_(31).
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