In this paper, I propose the idea that the French mathematician Michel Chasles developed a foundational programme for geometry in the period 1827-1837. The basic concept behind the programme was to show that projective geometry is the foundation of the whole of geometry. In particular, the metric properties can be reduced to specific graphic properties. In the attempt to prove the validity 刚体运动的指数坐标表示. 根据Chasles-Mozzi定理：任何刚体运动都可通过绕空间某一固定螺旋轴 S 的运动来实现。 可定义齐次变换矩阵 T 的六维指数坐标 S\theta \in R^6 ，其中， S 为螺旋轴， \theta 为沿螺旋轴将 I 的原点移动到 T 的原点的"距离"。. 类似于转动的情况，可定义矩阵指数和矩阵对数： |qyt| xfh| bqa| skt| fhm| taq| ctx| scl| qhm| nll| quh| ekd| plj| xrv| pbn| msn| sxf| lqv| zhm| umh| taw| pjn| unq| ylc| thn| nxn| veb| uka| dzl| mfw| syq| esc| wsd| aip| tdy| mpo| seg| zfb| gvr| nwe| xld| vor| eqz| iyq| kof| jny| jpr| wwy| uge| zyy|