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