互逆主义逻辑是建立在解析几何的基础之上的。
Mutually-inversistic logic is constructed on analytic geometry.
数量和空间在解析几何，微分几何和代数几何中都发挥作用。
Quantity and space both play a role in analytic geometry, differential geometry, and algebraic geometry.
本文用数学美学的观点，具体剖析了解析几何中的美学因素。为在解析几何教学中进行审美教育，提供了有价值的参考。
This paper analyses the factor of beauty in analytic geometry by means of aesthetic of mathematics, provides a valuable reference for aesthetic education in teaching analytic geometry.
本文用空间解析几何方法，推导了在一般非平行斜入射光条件下，裂纹体表面所形成的反射焦散线和初始曲线的方程。
The equations of caustic curve and its initial curve for a crack illuminated by an oblique incident light beam in reflection arrangement were deduced using the space analytic geometry method.
其结构对称优美，在中学代数、三角、平面几何、平面解析几何中都有广泛应用。
Cauchy's inequality is characterized by its structurally symmetrical grace, which finds wide application in middle school algebra, geometory, plane geometory and analytic plane geometry.
在传统解析几何中，平面区域未被作为点的轨迹来看待，因此没有研究平面区域的方程问题。
In this paper, we treat the convex polygon domain as locus of points and give its equation.
在传统解析几何中，平面区域未被作为点的轨迹来看待，因此没有研究平面区域的方程问题。
In this paper, we treat the convex polygon domain as locus of points and give its equation.
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