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Famous problems of elementary geometry: the duplication of the cube; the trisection of an angle; the quadrature of the circle; an authorized translation of F. Klein's Vorträge über ausgewählte fragen der elementargeometrie, ausgearbeitet von F. Tägert (1897)

Klein, Felix, 1849-1925, Beman, Wooster Woodruff, 1850-1922, Smith, David Eugene, 1860-1944 · Boston, London, Ginn & company · leaf 55

An illustration from Famous problems of elementary geometry: the duplication of the cube; the trisection of an angle; the quadrature of the circle; an authorized translation of F. Klein's Vorträge über ausgewählte fragen der elementargeometrie, ausgearbeitet von F. Tägert, 1897, leaf 55
A perpendicular erected at this point gives immediately the first and sixteenth vertices of theregular polygon of 17 sides. The period z1 was chosen arbitrarily ; we might constructin the same way every other period of two terms and so findthe remaining cosines. These constructions, made on… … CHAPTER V. General Considerations on Algebraic Constructions. 1. We shall now lay aside the matter of construction withstraight edge and compasses. Before quitting the subject wemay mention a new and very simple method of effecting cer-tain constructions, paper folding. Hermann Wiener * hasshown…

Geometry

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