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Geometry & Trigonometry
Transformations
Chapter 3-Lines
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Geometry & Trigonometry
Transformations
lines
perspective
10th
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11 Terms
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1
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Projective geometry
________- explains how an eye perceives the "real world.
2
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Mathematical perspective
________- all lines through a given point in R^3.
3
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Projective point
________- A line in R^3 that passes through the origin.
4
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Projective geometry
explains how an eye perceives the "real world"
5
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Terraced perspective
a technique of drawing people at the back of a group higher up than those in the front
6
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Vertical perspective
An artist would draw pairs of parallel lines place symmetrically on either side of the scene by lines that meet on the center line of the picture
7
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Focused perspective
A cross section can give the same impression as the original item due to the corresponding points followed by light rays
8
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Mathematical perspective
all lines through a given point in R^3
9
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Diagonal vanishing point of the perspectivity
The point in which the images of all lines in a plane in some direction vanish
10
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Deargues theorem
A 3D figure has properties that allow the points where the image meets the figure to be collinear
11
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Projective point
A line in R^3 that passes through the origin