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 54
and — below. We solve the first problem in the usual way, by pro-jecting the intersection of the circle with the line connectingA with -f- yx below, from 0 upon the upper tangent, thus 4 obtaining—. For the other segment we connect the point + 4 above with y4 below, and then the point thus… … Fig. 8. It cuts off upon the vertical diameter the segment •Y4 y4-4 The equation of the line b is then 2yix + (y4 — 4) y = 2y4,and its intersection with the axis of X has the abscissa —. yi If we project the upper intersection of the line b with the circle from A upon the axis of X, we obtain z1 =…
Geometry
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