The construction of Cube root (An addition in Euclidean Geometry)

For more than two thousand years, the Doubling of the Cube-the construction of the cube root of two using only a compass and straightedge-has stood as one of classical geometry's greatest impossibilities. Declared unsolvable by algebraic proof, it became a symbol of mathematical limitation. In The Construction of Cube Root (An Addition in Euclidean Geometry), Manoranjan Ghoshal challenges this long-accepted conclusion. Blending historical insight with original geometric reasoning, the author revisits the foundations of Euclidean construction and introduces a new theorem that leads to a step-by-step geometric method for extracting cube roots using classical tools. The book carefully explains the logic, construction process, and implications, making a complex idea accessible to students, teachers, and independent researchers. Written in lucid language and supported by clear geometric reasoning, this work invites readers to rethink impossibility, question tradition, and explore geometry beyond established boundaries. A bold contribution to classical geometry-provocative, educational, and thought-inspiring.