adj.纷乱的，复杂的
n.【数】渐伸线

The involute of a circle is the curve traced by a point on a straight line as it rolls without slipping along the circumference of the circle.
圆的渐开线是指一直线上的一点沿圆周无滑动滚动时所形成的曲线。
The teeth of a gear are usually cut in the shape of an involute to ensure smooth meshing and transmission of motion.
齿轮的齿通常被切割成渐开线形状以确保平滑啮合和运动传递。
Involute gears have the advantage that they maintain a constant velocity ratio between two mating gears.
渐开线齿轮的优点在于它们能保持两个啮合齿轮之间的恒定速度比。
In mechanical engineering, the involute profile reduces wear and tear due to its inherent self-aligning property.
在机械工程中，由于渐开线轮廓具有固有的自调整特性，因此可以减少磨损。
As the involute unwinds from the base circle, the radius increases proportionally to the arc length traversed.
随着渐开线从基圆展开，其半径会按比例地随经过的弧长增加。
The designer calculated the pressure angle using the equation for involute curves to optimize gear performance.
设计师使用渐开线曲线方程计算压力角以优化齿轮性能。
The gear tooth profiles are based on the principle of involute geometry to eliminate any sliding action during engagement.
齿轮齿廓基于渐开线几何原理，以消除啮合过程中的滑动作用。
Understanding the properties of involutes is crucial for studying and designing various types of gear systems.
理解渐开线的性质对于研究和设计各种类型的齿轮系统至关重要。
A spline coupling may also be designed with involute tooth profiles to enhance power transmission efficiency.
花键联轴器也可以设计为带有渐开线齿形以提高动力传动效率。
The generation of involute curves can be demonstrated using a string wrapped around a cylinder and then pulled taut.
通过将一根线绕在一个圆筒上然后拉紧，可以演示渐开线的生成过程。