plane curve in a sentence

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. SierpiD
   ski 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. It's difficult to find plane curve in a sentence.
7. In differential geometry and calculus, the angles between plane curves or space curves or derivative.
8. Those of degree four are called quartic plane curves.
9. Each convex plane curve has a centre of mass.
10. B閦out's theorem implies that a plane curve with a bitangent must have degree at least 4.
11. These, for planes sufficiently close to the tangent plane, intersect the surface to make convex plane curves.
12. I am interested in plane curves only.
13. The second generalized curvature is called "'torsion "'and measures the deviance of from being a plane curve.
14. I realize the formula only holds if the plane curve does not cross the axis of rotation.
15. Consider the affine plane curve defined by the equation y ^ 2 = x ^ 5 + 1.
16. It starts with a plane curve, and repeatedly applies birational transformations to the plane to improve the curve.
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