1. Let be a plane curve ( the precise technical assumptions are given below ). 2. Compass and circular planes are used to plane curved surfaces. 3. SierpiDski demonstrated that his carpet is a universal plane curve . 4. The "'butterfly curve "'is a transcendental plane curve discovered by Temple H . Fay. 5. The circle is the plane curve enclosing the maximum area for a given arc length. 6. In differential geometry and calculus, the angles between plane curves or space curves or derivative. 7. Those of degree four are called quartic plane curves . 8. Each convex plane curve has a centre of mass. 9. B�zout's theorem implies that a plane curve with a bitangent must have degree at least 4. 10. These, for planes sufficiently close to the tangent plane, intersect the surface to make convex plane curves .
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