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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 53

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 53
s THE REGULAR POLYGON OF 17 SIDES. 39 already noted, we need only the greater, yv This corres-ponds, as shown by the figure, to the projection of the upperintersection of our transversal with the circle. Similarly, we obtain the roots of the third quadratic equa-tion. Upon the upper tangent we… … Fig. 7. If we connect this point with the point where the verticaldiameter intersects the line joining — 4 above and + 1 below, we cut off upon the axis of X the segment , as desired. x2If we project that intersection of this transversal with the circle which lies in the positive quadrant from A…

Geometry

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