Next: 4.2 Angles
Up: 4 Lines
Previous: 4 Lines
The distance between two points in the plane is the length of the line segment joining the two points. If the points have cartesian coordinates (x,y) and (x,y), this distance is
If the points have polar coordinates (r,) and (r,), this distance is
If the points have oblique coordinates (x,y) and (x,y), this distance is
where is the angle between the axes (Figure 1.5.1 ).
The point k% of the way from P=(x,y) to P=(x,y) is
(The same formula works also in oblique coordinates.) This point divides the segment PP in the ratio k:(100-k). As a particular case, the midpoint of PP is given by
The distance from the point (x,y) to the line ax+by+c=0 is
Wed Oct 4 16:41:25 PDT 1995
This document is excerpted from the 30th Edition of the CRC Standard Mathematical Tables and Formulas (CRC Press). Unauthorized duplication is forbidden.