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1·In this paper, the geometric essence of quadratic transformation in plane field is presented after studying the existing quadratic Troms formations.

本文对现有平方变换方法进行了研究，提出了平面场不同平方变换的不同几何实质。

2·This paper describes also quadratic interpolation and the method of transformation of coordinates used in the calculation.

计算中所运用的二次插值及座标变换方法，在文中作了介绍。

3·The paper teus a direct way to select nonsingular linear transformation by changing two special quadratic forms without square terms to the standard form.

本文给出了化不含平方项的两类特殊二次型为标准形的一种直接选取满秩线性变换法。

4·By means of congruent transformation in matrix, the method of transforming real quadratic form into standard form and the method of normal orthogonal basis are given in this paper.

借助矩阵的合同变换法，给出了化实二次型为标准形的方法、求标准正交基的方法，并给出了正定二次型判定定理的新证明。