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The pedal curve of the cissoid, when the pedal point is on the axis beyond the asymptote at a distance from the cusp which is four times that of the asymptote is a cardioid.
Let the center B of a circle of radius a move along a line BA. Let O be a fixed point located a distance c away from AB. Draw a secant line through O and D, the midpoint of ...
Find necessary and sufficient conditions that determine when the integral curve of two periodic functions kappa(s) and tau(s) with the same period L is a closed curve.
The underlying set of the fundamental group of X is the set of based homotopy classes from the circle to X, denoted [S^1,X]. For general spaces X and Y, there is no natural ...
A space endowed with a non-Euclidean elliptic geometry.
A section of a graph obtained by finding its intersection with a plane.
A curve created by starting with a circle, dividing it into six arcs, and flipping three alternating arcs. The process is then repeated an infinite number of times.
The simplicial complex formed from a family of objects by taking sets that have nonempty intersections.
Two (or more) intersecting curves that are perpendicular at their intersection are said to be orthogonal.
A point at which two polygon edges of a polygon meet.
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