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Documentation for triangle/sss and friends

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Jens Axel Søgaard 2010-08-05 18:22:21 +02:00
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collects/teachpack/2htdp/scribblings/image.scrbl
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@ -129,6 +129,170 @@ Existing images can be rotated, scaled, and overlaid on top of each other.
(isosceles-triangle 60 330 "solid" "lightseagreen")]
}
@subsection{General Triangles}
To create a general triangle given known sides and angles the following
family of functions are useful: @scheme[triangle/sss],
@scheme[triangle/ass], @scheme[triangle/sas], @scheme[triangle/ssa],
@scheme[triangle/sss], @scheme[triangle/sss], and, @scheme[triangle/sss].
They all construct a triangle oriented as follows:
@image["triangle-xxx.png"]
@defproc*[([(triangle/sss [side-length-a (and/c real? (not/c negative?))]
[side-length-b (and/c real? (not/c negative?))]
[side-length-c (and/c real? (not/c negative?))]
[mode mode?]
[color image-color?])
image?]
[(triangle/sss [side-length-a (and/c real? (not/c negative?))]
[side-length-b (and/c real? (not/c negative?))]
[side-length-c (and/c real? (not/c negative?))]
[outline-mode (or/c 'outline "outline")]
[pen-or-color (or/c pen? image-color?)])
image?])]{
Creates a triangle where the side lengths a, b, and, c are given by @scheme[side-length-a],
@scheme[side-length-b], and, @scheme[side-length-c] respectively.
@mode/color-text
@image-examples[(triangle/sss 200 300 400 "solid" "seagreen")
(triangle/sss 400 300 100 "solid" "aquamarine")
(triangle/sss 300 400 500 "solid" "lightseagreen")]
}
@defproc*[([(triangle/ass [angle-a angle?]
[side-length-b (and/c real? (not/c negative?))]
[side-length-c (and/c real? (not/c negative?))]
[mode mode?]
[color image-color?])
image?]
[(triangle/ass [angle-a angle?]
[side-length-b (and/c real? (not/c negative?))]
[side-length-c (and/c real? (not/c negative?))]
[outline-mode (or/c 'outline "outline")]
[pen-or-color (or/c pen? image-color?)])
image?])]{
Creates a triangle where the angle A and side length a and b, are given by @scheme[angle-a],
@scheme[side-length-b], and, @scheme[side-length-c] respectively.
@mode/color-text
@image-examples[(triangle/ass 10 300 500 "solid" "seagreen")
(triangle/ass 90 300 500 "solid" "aquamarine")
(triangle/ass 130 300 500 "solid" "lightseagreen")]
}
@defproc*[([(triangle/sas [side-length-a (and/c real? (not/c negative?))]
[angle-b angle?]
[side-length-c (and/c real? (not/c negative?))]
[mode mode?]
[color image-color?])
image?]
[(triangle/sas [side-length-a (and/c real? (not/c negative?))]
[angle-b angle?]
[side-length-c (and/c real? (not/c negative?))]
[outline-mode (or/c 'outline "outline")]
[pen-or-color (or/c pen? image-color?)])
image?])]{
Creates a triangle where the side length a, angle B, and, side length c given by @scheme[side-length-a],
@scheme[angle-b], and, @scheme[side-length-c] respectively.
@mode/color-text
@image-examples[(triangle/sas 300 10 500 "solid" "seagreen")
(triangle/sas 300 90 500 "solid" "aquamarine")
(triangle/sas 300 130 500 "solid" "lightseagreen")]
}
@defproc*[([(triangle/ssa [side-length-a (and/c real? (not/c negative?))]
[side-length-b (and/c real? (not/c negative?))]
[angle-c angle?]
[mode mode?]
[color image-color?])
image?]
[(triangle/ssa [side-length-a (and/c real? (not/c negative?))]
[side-length-b (and/c real? (not/c negative?))]
[angle-c angle?]
[outline-mode (or/c 'outline "outline")]
[pen-or-color (or/c pen? image-color?)])
image?])]{
Creates a triangle where the side length a, side length b, and, angle c given by @scheme[side-length-a],
@scheme[side-length-b], and, @scheme[angle-c] respectively.
@mode/color-text
@image-examples[(triangle/ssa 300 500 10 "solid" "seagreen")
(triangle/ssa 300 500 90 "solid" "aquamarine")
(triangle/ssa 300 500 130 "solid" "lightseagreen")]
}
@defproc*[([(triangle/aas [angle-a angle?]
[angle-b angle?]
[side-length-c (and/c real? (not/c negative?))]
[mode mode?]
[color image-color?])
image?]
[(triangle/aas [angle-a angle?]
[angle-b angle?]
[side-length-c (and/c real? (not/c negative?))]
[outline-mode (or/c 'outline "outline")]
[pen-or-color (or/c pen? image-color?)])
image?])]{
Creates a triangle where the angle A, angle B, and, side length c given by @scheme[angle-a],
@scheme[angle-b], and, @scheme[side-length-c] respectively.
@mode/color-text
@image-examples[(triangle/aas 10 40 200 "solid" "seagreen")
(triangle/aas 90 40 200 "solid" "aquamarine")
(triangle/aas 130 40 200 "solid" "lightseagreen")]
}
@defproc*[([(triangle/asa [angle-a angle?]
[side-length-b (and/c real? (not/c negative?))]
[angle-c angle?]
[mode mode?]
[color image-color?])
image?]
[(triangle/asa [angle-a angle?]
[side-length-b (and/c real? (not/c negative?))]
[angle-c angle?]
[outline-mode (or/c 'outline "outline")]
[pen-or-color (or/c pen? image-color?)])
image?])]{
Creates a triangle where the angle A, side length b, and, angle C given by @scheme[angle-a],
@scheme[side-length-b], and, @scheme[angle-c] respectively.
@mode/color-text
@image-examples[(triangle/asa 10 200 40 "solid" "seagreen")
(triangle/asa 90 200 40 "solid" "aquamarine")
(triangle/asa 130 200 40 "solid" "lightseagreen")]
}
@defproc*[([(triangle/saa [side-length-a (and/c real? (not/c negative?))]
[angle-b angle?]
[angle-c angle?]
[mode mode?]
[color image-color?])
image?]
[(triangle/saa [side-length-a (and/c real? (not/c negative?))]
[angle-b angle?]
[angle-c angle?]
[outline-mode (or/c 'outline "outline")]
[pen-or-color (or/c pen? image-color?)])
image?])]{
Creates a triangle where the side length a, angle B, and, angle C given by @scheme[side-length-a],
@scheme[angle-b], and, @scheme[angle-c] respectively.
@mode/color-text
@image-examples[(triangle/saa 200 10 40 "solid" "seagreen")
(triangle/saa 200 90 40 "solid" "aquamarine")
(triangle/saa 200 130 40 "solid" "lightseagreen")]
}
@defproc*[([(square [side-len (and/c real? (not/c negative?))]
[mode mode?]