Tag Archives: points of intersection

See where two conic sections intersect in C#

Posted on November 10, 2014 by Rod Stephens

This example uses techniques demonstrated in several earlier posts to let you see where two conic sections intersect. To use the example, click the left mouse button five times each to select one conic section> Then click the right mouse … Continue reading →

Posted in algorithms, geometry, graphics, mathematics | Tagged algorithms, C#, C# programming, conic section, draw conic section, draw curve, draw ellipse, draw hyperbola, draw parabola, ellipse, equation, example, example program, geometry, graph equation, graphics, hyperbola, intersections, mathematics, parabola, points of intersection, Windows Forms programming | 1 Comment

See where a parabola and hyperbola intersect in C#

Posted on November 10, 2014 by Rod Stephens

This example shows how to see where a parabola and hyperbola intersect. The previous four-part example here, here, here, and here explains how to find the points of intersections between two conic sections. Although the posts focus on finding points … Continue reading →

Posted in algorithms, geometry, graphics, mathematics | Tagged algorithms, C#, C# programming, example, example program, geometry, graphics, hyperbola, intersection, mathematics, parabola, points of intersection, Windows Forms programming | 3 Comments

See where two ellipses intersect in C#, Part 4

Posted on November 2, 2014 by Rod Stephens

This post explains why Newton’s method may not be the best way to find the roots of the difference equations used to see where two ellipses intersect. The final step in finding the points of intersection between two ellipses (or … Continue reading →

Posted in algorithms, geometry, graphics, mathematics | Tagged algorithms, C#, C# programming, ellipse, example, example program, geometry, intersection, mathematics, points of intersection, Windows Forms programming | 2 Comments

See where two ellipses intersect in C#, Part 3

Posted on November 2, 2014 by Rod Stephens

This post summarizes the method you can use to see where two ellipses intersect. (Or any two conic sections, for that matter.) It also explains the example program. To find the points of intersection: Get the equations for the ellipses. … Continue reading →

See where two ellipses intersect in C#, Part 2

Posted on November 2, 2014 by Rod Stephens

This post shows The Ugly Math that you can use to see where two ellipses intersect. Brace yourself! Here it comes! First recall the quadratic formula. If ax2 + bx + c = 0, then: Now consider the formula for … Continue reading →

Posted in algorithms, geometry, mathematics | Tagged algorithms, C#, C# programming, ellipse, example, example program, geometry, intersection, mathematics, points of intersection, Windows Forms programming | 1 Comment

See where two ellipses intersect in C#, Part 1

Posted on November 2, 2014 by Rod Stephens

This example shows how you can see where two ellipses intersect. Surprisingly, some of the most popular posts on the C# Helper web site are not about C# itself. Instead they are about geometry. I decided to add to this … Continue reading →