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 93
Teubner, 1889; in French,Gauthier- Villars, 1889). GEOMETRIC CONSTRUCTION OF it. 79 We shall simply indicate the principles of its working.For any point (x, y) of the differential curve construct theauxiliary triangle having for vertices the points (x, y), (x, 0),(x — 1, 0); the hypotenuse of this… … fig. ig. The apparatus should be so constructed then that the trac-ing point shall move parallel to the variable direction of thishypotenuse, while the guiding point describes the differentialcurve. This is effected by connecting the tracing point witha sharp-edged roller whose plane is vertical…
Geometry
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