Geometry Alongside and Erect Curve and Planes

 22 September 17:23   

    Two coplanar curve are said to be alongside if they never intersect. For any accustomed point on the first line, its ambit to the additional band is according to the ambit amid any additional point on the first band and the additional line. The accepted characters for alongside curve is || (a bifold pipe); it is not abnormal to see // as well. If band m is alongside to band n, we address m || n. Curve in a even either coincide, bisect in a point, or are parallel. Controversies surrounding the Alongside Advance advance to the development of non-Euclidean geometries.

    When two (or more) alongside curve are cut by a transversal, the afterward bend relationships hold:

    Given two curve cut by a transversal, demonstrating that any of the ahead mentioned relationships holds true is acceptable for proving the curve parallel.