24 lines
541 B
Plaintext
24 lines
541 B
Plaintext
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import Common.Geometry.Point
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/-! # Common.Geometry.Line
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A representation of a line in the two-dimensional Cartesian plane.
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-/
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namespace Geometry
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/--
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A `Line` is represented in vector form (not to be confused with `Vector`).
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It is completely characterized by a point `P` on the line in question and a
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direction vector `dir` parallel to the line. Such a line is represented by
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equation
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```
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\vec{r} = \vec{OP} + t\vec{d},
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```
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where `O` denotes the origin and `t ∈ ℝ`.
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-/
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structure Line where
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p : Point
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dir : ℝ × ℝ
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end Geometry
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