Analytic Geometry

New Version 7.1

with interactive geometry

• Rotatable 3D-coordinate-system with OpenGL-representation of point, vector, line segment, straight line, plane, circle, ellipse, rectangular solid, prism, pyramid, tetrahedron, sphere, cone, cylinder, torus
• Visualisation of dot product and cross product
• Calculations of distances and intersections for many combinations of objects
• Calculation of angles (e.g. straight line / plane)
• Distance of points on the surface of a sphere
• Animations of points and spheres by functions in parametric form e.g.. satellite movements
  
• Affine Transformations e.g. Shear of a pyramid
• Functional graphs f(x,y) and (x(t),y(t),z(t))

2D-Geometry And 2D-Graphs

New Version 7

• Now with interactive geometry
• Quick creation of objects with the mouse
• Point, vector, line segment, half-line, straight line, triangle, polygon, rectangle, circle, circular sector, ellipse, angle
• Intersections and distances are recalculated while dragging
• Affine transformations of objects
• Pythagoras animation
• Demonstration of theorem of intersecting lines
• Parallels and perpendiculars of line segments and straight lines
• Functional graphs of type f(x) and (x(t);y(t))
• Bézier curves
• Mandelbrot set, Julia sets
• Approximations of series of measurement