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 平面摆线
 planar cycloid
 GEOMETRICAL PROPERTIES OF PLANAR CYCLOID AND SPHERICAL CYCLOID 平面摆线与球面摆线的几何性质 短句来源
 plane curves
 It has a lot of properties,Cycloid,hypocycloid and epicycloid are plane curves . 摆线、内摆线和外摆线是平面摆线，它们只是球面摆线的特殊情况。 短句来源
 相似匹配句对
 Inverse Movement Of Cycloid Plane 摆线平面运动的逆运动 短句来源 GEOMETRICAL PROPERTIES OF PLANAR CYCLOID AND SPHERICAL CYCLOID 平面摆线与球面摆线的几何性质 短句来源 ON P—PLANE FIELD p—平面场 短句来源 Bookshop 平面书店 短句来源 Numerical control machining of hypocycloidal gears 摆线齿轮的数控加工 短句来源

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 plane curves
 In the present paper, we prove an analog of Khinchin's metric theorem in the case of linear Diophantine approximations of plane curves defined over the ring of -adic integers by means of (Mahler) normal functions. We suppose that, for a given integrable system, we know a realization of the corresponding Lagrangian submanifold as the product of plane curves. It can constrain the pertubation range of the control points and the shape variation of the curve, and get a better fairing result in plane curves. Formulas enumerating rational curves are found, some of which generalised Kontsevich's formula for plane curves. Applications include a short proof of Kontsevich's formula for plane curves and the solution of the analogous problem for the Hirzebruch surface F3. 更多
 Cycloid is an important plane curve. It has a lot of properties,Cycloid,hypocycloid and epicycloid are plane curves .They are only the special examples of ophericslcycloid,This article proves that three geometrical properties of cycloid are partly applied to the hypocycloid and epicycloid, but none of them is applito to the spherical cycloid,The expression of the length of arc for sphentalcydoid is also derived from the article.4figs.,3refs. 摆线是重要的平面曲线，它有许多重要性质。摆线、内摆线和外摆线是平面摆线，它们只是球面摆线的特殊情况。本文证明了摆线的三个几何性质对内摆线和外摆线仅部分成立，对球面摆线却一个也不成立。本文还导出了球面摆线的弧长表达式。图４，参３。
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