Points

Here are all the point valued functions:

• point(x, y)
  Point of abscissa x and ordinate y.
• point(x, a)
  Point of radial coordinate x and polar angle a.
• point(l, x)
  Point of abscissa x on the graduated line l. (With Eukleides, lines have an implicit orientation.)
• point(s, x)
  Point of abscissa x on the graduated line containing segment s. (The origin is set to the begin of s. Like lines, segments have an implicit orientation.)
• point(c, a)
  Point of argument a (in degrees) on circle c.
• point(cc, x)
  Point on conic curve cc. Number x is the argument for the internal parametric representation of cc. For parabolas, the representation is based on square function; for ellipses, on cosine and sine; for hyperbolas, on cosecant and tangent.
• barycenter(A [, x], B [, y])
  Barycenter of A and B with coefficient x and y (default: 1 and 1). The syntax is similar for 3 or 4 points.
• intersection(l, l')
  Intersection point of lines l and l'.
• abscissa(l, x)
  Point of abscissa x on line l.
• ordinate(l, y)
  Point of ordinate y on line l.
• midpoint(s)
• begin(s)
• end(s)
• center(c)
• center(cc)
  If cc is a parabola, the result is its vertex.
• orthocenter(A, B, C)
  Orthocenter of triangle ABC.
• translation(A, u)
• reflection(A, l)
• rotation(A, B [, a])
  Rotation of center B and angle a (default: 180°).
• homothecy(A, B, x)
  Homothecy, i.e. expansion or dilation, of center B and ratio x.
• projection(A, l [, l'])
  Projection of point A on line l in direction of line l' (default: perpendicular to line l).