With these tools he was able to show that rotating the unlimited area of a rectangular hyperbola between the y -axis and a fixed point on the curve, resulted in a finite volume when rotated round the y -axis.
有了这些工具,他能够表明,旋转的无限领域的一个矩形双曲线之间的Y轴 和一个固定点的曲线,导致了有限体积时,旋转轮, y轴。
This problem in turn led Khayyam to solve the cubic equation x 3 + 200x = 20x 2 + 2000 and he found a positive root of this cubic by considering the intersection of a rectangular hyperbola and a circle.
这个问题反过来又导致海亚姆解决立方米方程 x 3 + 二百 乘= 20 × 2 + 2000年,他找到了积极的根源,这立方米考虑的是相交的矩形双曲线 和一个圆圈。
Its contents are as follows: Euclid's theory of parallel lines; Propositions of incidence; The symbolic representation and Pappus' theorem; Theorems proved from the propositions of incidence; The fundamental hypothesis; The symbols of the real points of a line; Involution and harmonic ranges; Related ranges and pencils; Conics; Assignment of two absolute points, properties of circles; The parabola; The rectangular hyperbola; Theorems on conics; Length and distance; Equation of conic and line.
其内容如下:欧几里德理论的平行线,命题的发病率;象征代表性和帕普斯`定理;定理证明的命题的发病率;的基本假设;的象征真正的点线;合和谐波范围;相关的范围和铅笔;二次曲线;指派两名绝对分,性能的圈子;的抛物线;矩形双曲线;定理二次曲线;长度和距离;方程的曲线和线路。