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MCS,PHD
Argosy University/ Phoniex University/
Nov-2005 - Oct-2011
Professor
Phoniex University
Oct-2001 - Nov-2016
*3.25Â Â Â Â Â (Geometry: intersecting point) Two points on line 1 are given as (x1, y1) and (x2,
y2) and on line 2 as (x3, y3) and (x4, y4), as shown in Figure 3.8a–b.
The intersecting point of the two lines can be found by solving the following linear equation:
(y1 - y2)x - (x1 - x2)y = (y1 - y2)x1 - (x1 - x2)y1
(y3 - y4)x - (x3 - x4)y = (y3 - y4)x3 - (x3 - x4)y3
This linear equation can be solved using Cramer’s rule (see Programming Exer- cise 3.3). If the equation has no solutions, the two lines are parallel (Figure 3.8c).
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