Authors: Radhakrishnamurty Padyala
Recently we gave an alternate method to show the presence of an ellipse in the paths of projectiles, to the method given by Fernandez-Chapou and coworkers. Our method demonstrated that particles dropped from points of a circle in a vertical plane on to the horizontal diameter and reflected through 90 degrees by mirrors halfway on their paths, follow parabolic trajectories and that the apexes of these parabolic paths lie on an ellipse. In this article we give a similar procedure to show that particles dropped from points of an ellipse in a vertical plane to the horizontal (minor) axis but reflected through 90 degrees by mirrors halfway on their paths, follow parabolic trajectories and that the apexes of these parabolic paths lie on a circle. From this circle we can generate another ellipse by a similar procedure as above. This ‘circle-ellipse-circle–ellipse-…’ cycle is a representation of the ‘birth-death-birth-death-…’ cycle. It is a representation of the ‘parent-child-parent-child-…’ cycle of living organisms. These cycles have no beginning and no end. They exhibit the beauty of symmetry of Natural law. We don’t use vectors or calculus or Newton’s laws in our method. We follow Galileo’s tradition, use geometry principles in our analysis.
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[v1] 2018-09-11 09:21:05
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