We introduce the Lobachevskian geometry and the Ricmanian geometry by proving the Euclidean of the fifthpostulate.
通过对欧氏第五公设的试证,引入罗氏几何与黎氏几何。
2
Depending only on formal thinking, Euclid formed system through figure proof, firstly applied the fifthpostulate in the 29th proposition.
欧几里德仅仅依靠形式思维,通过图形佐证形成体系,在第29个命题中首先运用第五公设。
3
By replacing the fifthpostulate in the preceding paper with the condition of spherical symmetry of space we again obtain the Friedmann universe in relativistic cosmology.