高等几何是初等几何的延深课程。
High geometry is the extended course of elementary geometry.
射影变换在高等几何中是十分重要的。
本文论述高等几何与中学几何的关系，揭示高等几何对中学几何的指导意义。
This paper discusses the relationship between higher geometry and middle school geometry, revealing the guiding significance of higher geometry to middle school geometry.
讨论几何轨迹命题的推广，得列一些结论，从另一角度体现了高等几何与初等几何的联系。
The discussion on the popularization of locus proposition leads to some results, which shows the connection between higher geometry and lower geometry.
利用《高等几何》的观点、方法解决《解析几何》中的二次曲线的切线的存在性与求法问题。
To solve the problem about determinant and solution to tangent line of curve of second order in Analytic Geometry with viewpoint and methods of Higher Geometry.
本文简要而概括地介绍了“理想元素”和“对偶原理”，表明了作者在高等几何教学方法上的见解。
The article deals briefly with the "ideal element" and "Duality principle", which includes methods of teaching of the author.
如果错过了高级几何和高等代数或在科学实验室的第一期培训班这进度将是很难赶上的。
If an incoming senior has missed geometry and advanced algebra or a first course in a lab science, it's hard to catch up.
高中：代数，几何，高等代数，三角学，？(圆锥和极限)？
High School: Algebra, Geometry, Advanced Algebra, Trigonometry, Pre-Calculus (conics and limits)?
爱因斯坦12岁时开始自学欧几里德几何，对学校枯燥教学方式厌倦的他干脆自学起高等数学。
Einstein's 12-year-old self when the Euclidean geometry, boring teaching methods in schools, he simply fed up with higher math self-starting.
爱因斯坦12岁时开始自学欧几里德几何，对学校枯燥教学方式厌倦的他干脆自学起高等数学。
Einstein's 12-year-old self when the Euclidean geometry, boring teaching methods in schools, he simply fed up with higher math self-starting.
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