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Author: Jesús Escribano
This CD defines symbols for 3-dimensional Euclidean geometry
The symbol is used to indicate a point of 3-dimensional Euclidean geometry by
a variable. The point may (but need not) be subject to constraints.
The symbol takes the variable as the first argument and the
constraints as further arguments.
Example:
Given two lines l and m, a point A on l and m is defined by:
The symbol is used to indicate a line of 3-dimensional Euclidean geometry
by a variable. The line may (but need not) be subject to constraints.
The symbol takes the variable as the first argument and the constraints
as further arguments.
Example:
Given points A and B in 3-dimensional space, a line l through A and B
is defined by:
The symbol is used to indicate a segment of a line in 3-dimensional Euclidean geometry by
a variable. The segment is contained in the affine part of the line.
The symbol takes the variable as the first argument and the endpoints as second and third arguments.
The symbol is used to indicate the set of the two endpoints of a segment in 3-dimensional Euclidean geometry by
a variable. The symbol takes the variable as the first argument and the segment as second argument.
Example:
The set E of the two endpoints of a segment s is given by:
The symbol is used to indicate the midpoint of a segment in 3-dimensional Euclidean geometry by
a variable. The symbol takes the variable as the first argument and the segment as second argument.
The symbol is used to indicate a plane in 3-dimensional Euclidean geometry
by a variable. The plane may (but need not) be subject to constraints.
The symbol takes the variable as the first argument and the constraints
as further arguments.
Example:
Given points A, B and C in 3-dimensional space, a plane p through A, B and C is defined by:
The symbol is used to indicate a circle in 3-dimensional Euclidean geometry by
a variable. The circle may (but need not) be subject to constraints.
The symbol takes the variable as the first argument and the
constraints as further arguments.
Example:
The circle c with center at A and passing through the point B is given by:
The symbol is used to indicate a sphere in 3-dimensional Euclidean geometry by
a variable. The sphere may (but need not) be subject to constraints.
The symbol takes the variable as the first argument and the constraints as further arguments.
Example:
The sphere s with center at A and passing through the point B is given by:
