Any functions without information were either too obvious, too complex, or I was unable to
figure out what it was doing.

===Point(s)===
- AreCollinear
	Input: Points (m1,m2), (n1,n2), (p1,p2)
	Check: (m1-n1)(m2-p2) = (m1-p1)(m2-n2)
		[the cross ratio]
- AreConcyclic
- IsOnCircle
	Evaluate the equation of the circle with regards to the x/y coordinates
	of the point
- IsOnLine (segment + ray too)
	Evaluate the equation of the line with regards to the x/y coordinates
	of the point
- convexhull
- distance (between two points, or a point and a line)
	Usual Euclidean distance
- midpoint
- projection
	Intersection of the perpindular line and the line in question


===Line(s), Segment(s), and Ray(s)===
- AreConcurrent
	Input: Three lines l1, l2, l3
	Check: Whether the determinant of "matrix of coefficients" is zero
- AreParallel
	Input: Two lines, u and v
	Check: xcoeff(u)*ycoeff(v) = xcoeff(v)*ycoeff(u)
		[are slopes equal?]
- ArePerpendicular
	Input: Two lines, u and v
	Check: xcoeff(v)*xcoeff(u) = -ycoeff(u)*ycoeff(v)
		[are slopes negative reciprocals?]
- FindAngle
	Some simple trig work
- ParallelLine
	With a little bit of calculation Maple derives the new equation
- PerpenBisector (segment only)
	References procedures <midpoint> and <PerpendicularLine>
- PerpendicularLine
	Same as for <ParallelLine>
- randpoint
- slope


===Triangle(s) [plus polygon methods]===
- AreSimilar
	Permutes the vertices of a triangle and tests all permutations against the
	other triangle 
- IsEquilateral
	Basically checks for all sides for equality
- IsRightTriangle
	Check to see if a^2 + b^2 = c^2
- altitude
	Input: Triangle ABC with A(a1,a2), B(b1,b2), C(c1,c2) its vertices
	Construct line ax + by + c = 0 with
		a = c1-b1
		b = c2-b2
		c = (b2-c2)*a2 - (c1-b1)*a1
- bisector
	A somewhat large set of operations
- circumcircle
	Depends on the <circle> constructor, which can take three points and create a
	circle from them
- excircle
- incircle
	Finds the center by calculating the intersection of two bisectors, then
	uses the distance from the center to one of the sides as the radius
- medial
	call <midpoint> for each side of the triangle, and form a triangle from those
- median
- orthocenter
	A fairly large set of simple operations


===Polygon(s)===
- ExteriorAngle (attribute)
- InteriorAngle (attribute)
- perimeter (attribute)
- sides
	Simply returns Euclidean distance between all adjacent points
- vertices


===Circle(s) [plus that of ellipse]===
- AreTangent
	Input: Line l and circle c
	Check: A fairly large set of simple operations
- TangentLine
	A fairly large set of operations. 
- center (attribute)
- centroid
- diameter
- radius (attribute)
- randpoint


===Ellipse(s)===
- MajorAxis (attribute)
- MinorAxis (attribute)
- foci


===Everything===
- Equation (attribute)
- area
	Case based for each entity, in which the obvious formulas are used
- intersection
	Case based and fairly large, but mostly the obvious is used
- tangent






Methods I didn't look into:
	AreOrthogonal, ExternalBisector, Polar, Pole, apothem,
	dilatation, expansion, translation, reflection, rotation