rotating a triangle

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rotating a triangle

Postby batmanmg » Mon Aug 28, 2006 5:57 am

if you consider a triangle to be composed of infinent progressively shorter lines segments, and you rotate that triangle 3 dimensionaly along a horozontal side (all the line segments being paralel to this side), then any line segment will apear longer as it is closer to you, and shorter when it is further away...

question 1
Now if you consider this triangle's hight to be X units long, what happens to the apearance of the linesegment that is X - 1/~ units away from the base... its length since it is infinently close to the point of this triangle (which can have no length) must be infinently small. how can something that is infinently small apear to get longer or shorter?

question 2
If you were able to place a 2d eyes center (esentialy where the light converges at a single point and becomes a flipped image), what will the traingle look like?

if you didn't understand the last question this might clarify. if your eye was a point. and your vision travled radialy outward... (so you can see a 30 x 26 in screen even though your pupil is only half a centemiter), and you drew 2 lines through that point. what would it look like?
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Postby bo198214 » Mon Aug 28, 2006 7:43 am

What you describe is perspective projection (though I really had a hard time to understand what you mean at all)
Look here. Its mainly an application of the intersecting lines theorem.
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