Chapter 3-Lines

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Projective geometry

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11 Terms

1

Projective geometry

________- explains how an eye perceives the "real world.

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2

Mathematical perspective

________- all lines through a given point in R^3.

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3

Projective point

________- A line in R^3 that passes through the origin.

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4

Projective geometry

explains how an eye perceives the "real world"

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5

Terraced perspective

a technique of drawing people at the back of a group higher up than those in the front

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6

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

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7

Focused perspective

A cross section can give the same impression as the original item due to the corresponding points followed by light rays

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8

Mathematical perspective

all lines through a given point in R^3

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9

Diagonal vanishing point of the perspectivity

The point in which the images of all lines in a plane in some direction vanish

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10

Deargues theorem

A 3D figure has properties that allow the points where the image meets the figure to be collinear

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11

Projective point

A line in R^3 that passes through the origin

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