**comp.graphics.algorithms**

## Subject: **Re: Plotting non overlapping rectangles**

"Dave Eberly"

news:TKn8g.892$y4.400@newsread2.news.pas.earthlink.net...

> "Stephen Brown"

> news:-6KdnfK1q7zBnv_Z4p2dnA@comcast.com...

>

>> What I need to do is calculate the coordinates of a point C, along the

>> line AB and just outside the fixed rectangle. When I construct a

>> rectangle around the line CB using the same offsets as before, I want the

>> resulting rectangle to touch but not overlap the fixed rectangle.

>

> Let D = B - A. The point C = A + t*D for some t > 0.

> The line containing C and perpendicular to D has the

> property that it contains one or two of the fixed

> rectangle's vertices, the other vertices "behind" the

> line.

>

> Let V[i], 0 <= i <= 3, be the vertices of the fixed

> rectangle. Determine the index k for which

> Dot(D,V[k]-A) is a maximum. The vertex V[k] is

> an extreme vertex of the rectangle in the direction D.

> The point C = A + Dot(D,V[k]-A)*D.

I may be reading it wrong, but this solution doesn't appear to take into

consideration the width of the rectangle around line CB?

Steve

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