Create Conic Section of Ellipse

Author:
argyri
Topic:
Ellipse
We consider the points A (-15.15), B (0.15) . We create the line segment AB with fixed length a = 15. We consider point C on it. In the algebra's window of software we could calcuale distances AC = d1 and BC = d2. We consider variable c and points C (-c, 0) and E (c, 0). Manufactured circle C1 with center E' and radius d2, and circle C2 with center E and radius d1. We call M and N the intersection points. Notice the geometric construction of the shape displayed
(ME) = .................. (ME') = ............... (ME) + (ME' ) = ............ Are circles always intersected? Notice in the window of algebra i) the relationship between the length of the segment a and c of the abscissa of the center of the circle c. What applies; ................................. ii) Consider c a value. Which provision must satisfy d1, d2 when moving the C. ........................................................................................................................... Definition of geometrical shape of ellipses :