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同时它还能精确表示圆弧、椭圆弧等二次曲线，推广到空间即可以表示旋转曲面。 Also the curves can express the circle arc and ellipse arc and can construct rotate surfaces. | ||
插补计算采用了差分插补法，能对所有的二次曲线进行直接插补。 This CNC system employs difference interpolation method for interpolation calculation, which can directly interpolate all of conic. | ||
文章利用射影几何方法及配极原理给出二次曲线中点弦存在性定理的证明。 In this paper, the existence theorem of midpoint chord of quadratic curve, as well as its proof, is given via methods of projective geometry and polarity principle. | ||
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. | ||
为了使二次曲线的作图更简便，文章以第二笛沙格定理和对合定理为基础，提出了一种新的作图方法。 Based on the Second Desargues Theory and involution theory, a simple drawing method for a conic is presented. | ||
夏鸾翔是晚清较早研究微积分的中算家，据其《致曲术》、《万象一原》，可知他在二次曲线求积问题上得到了比较全面的成果，有的已超过《代微积拾级》，某些成果近似近代的椭圆积分。 This paper discusses Xia's achievements on the integral problem about quadratic curve, some of which were similar to modern elliptic integral and surpassed the level of Dai-wei-ji. | ||
