| 用同素变换法解二次问题的原理与一般方法 |
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| 引用本文： | 刘重甫.用同素变换法解二次问题的原理与一般方法[J].安徽理工大学学报(自然科学版),1992(Z1). |
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| 作者姓名： | 刘重甫 |
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| 作者单位： | 淮南矿业学院基础部 |
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| 摘 要： | 通过选择一任意圆作为已知非蜕化二次曲线的射影对应形,寻求出此射影变换的确定条件,从而为图解二次问题建立了一种规范方法;得出了与二次点列射影对应有关的几个有价值的结论;为画法几何中一类难题的图解,确立了易于掌握而可靠的方法。
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| 关 键 词： | 射影变换 蜕缩型方程 二次方程/非蜕化二次曲线 |
The Principle and General Means to Solve the Quadratic Problems with the Similar Elements Trans- formation |
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| Liu Chongfu.The Principle and General Means to Solve the Quadratic Problems with the Similar Elements Trans- formation[J].Journal of Anhui University of Science and Technology:Natural Science,1992(Z1). |
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| Authors: | Liu Chongfu |
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| Institution: | Dept. of Basic Course |
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| Abstract: | By arbitrarily choosing a circle as the corresponding elements of the projective form of given non-degenerate coine, this paper derives the conditions of the transformation. A standardized method is found to solve puadratic problems graphically and some valuable conclusions related to the quadratic point range projectivity have been obtained. The easily commanded and reliable means to solve the difficult problems graphically in projective geometry have been determined. |
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| Keywords: | projective transformation degenerate equations quadratic equation/non-degenerate conic |
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