The Cube Duplication Solution (A Compassstraightedge (Ruler) Construction)

 International Journal of Mathematics Trends and Technology (IJMTT) © 2017 by IJMTT Journal Volume-50 Number-5 Year of Publication : 2017 Authors : Kimuya .M. Alex, Josephine Mutembei 10.14445/22315373/IJMTT-V50P549

Kimuya .M. Alex, Josephine Mutembei "The Cube Duplication Solution (A Compassstraightedge (Ruler) Construction)", International Journal of Mathematics Trends and Technology (IJMTT). V50(5):307-315 October 2017. ISSN:2231-5373. www.ijmttjournal.org. Published by Seventh Sense Research Group.

Abstract
This paper objectively presents a provable construction of generating a length of magnitude; , as the geometrical solution for the ancient classical problem of doubling the volume of a cube. Cube duplication is believed to be impossible under the stated restrictions of Euclidean geometry, because the Delian constant is classified as an irrational number, which was stated to be geometrically irreducible (Pierre Laurent Wantzel, 1837) [1]. Contrary to the impossibility consideration, the solution for this ancient problem is theorem , in which an elegant approach is presented, as a refute to the cube duplication impossibility statement. Geogebra software as one of the interactive geometry software is used to illustrate the accuracy of the obtained results, at higher accuracies which cannot be perceived using the idealized platonic straightedge and compass construction.

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Keywords
Doubling a cube, Delian constant, Compass, Straightedge (Ruler), Classical construction, Euclidean number, Irrational number, GeoGebra software.