The path of a point on a circle as it rolls along a straight line is called a
cycloid.
圆周上一点沿直线滚动时所形成的路径称为摆线。
The shape of the
cycloid is often used in the design of gears and cam profiles.
摆线的形状常用于齿轮和凸轮轮廓的设计中。
In physics, the
cycloid is an example of a curve that has many interesting properties.
在物理学中,摆线是一个具有许多有趣性质的曲线的例子。
The
cycloid is the trajectory traced by a point on the rim of a wheel as the wheel rolls along a surface.
摆线是车轮沿表面滚动时轮缘上的点所描绘的轨迹。
The
cycloid was first studied by Galileo in the 17th century.
摆线首先由伽利略在17世纪研究。
The length of the arch of a
cycloid can be calculated using integral calculus.
可以使用积分微积分计算摆线弓的长度。
The
cycloid has applications in various fields such as engineering, architecture, and art.
摆线在工程、建筑和艺术等各个领域都有应用。
The parametric equations for a
cycloid can be expressed as x = r(t - sin t) and y = r(1 - cos t).
摆线的参数方程可以表示为x = r(t - sin t)和y = r(1 - cos t)。
The
cycloid is a classic example of a curve that can be generated by a mechanical linkage.
摆线是机械连杆能生成的经典曲线示例之一。
The study of the
cycloid has led to important developments in mathematics and physics.
摆线的研究导致了数学和物理学中重要发展。
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