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If the two lines are parallel, then the shortest distance between them is a single, fixed quantity. It is the distance between any point on one line along the perpendicular to the line.

Now consider the situation where the two lines meet at a point X, at an angle 2y degrees. Suppose you wish to find points on the lines such that the shortest distance between them is 2d units. [The reason for using multiples of 2 is that it avoids fractions].


The points are at a distance d*cos(y) from X, along each of the two lines.

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Q: How do you determine given two lines which share a plane the point on each line where the shortest distance between the two lines is equal to some quantity?
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