T. Sundara Row's Geometric Exercises in Paper Folding |
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Common terms and phrases
ABē ABCD ALFRED BINET altitude apothem arithmetic series axis Beman and Smith's bisects the angle chords circumference circumscribed Cloth collinear common point congruent corners curve diagonal diameter directrix distance Draw equation equilateral triangle fixed point Fold four triangles geometric mean given lines given square gruent harmonic mean hexagon hyperbola inscribed inverse isogonal conjugates joining Klein's Famous Problems KLMN latus rectum MATHEMATICS mean center mid-point natural numbers nonagon number of equal number of points number of sides obtain octagon ordinate orthocenter paper-folding parabola parallel PAUL CARUS pentagon perpendicular piece of paper Plane and Solid point of intersection polar radical axis radii radius regular polygons right angles right-angled triangle Simson's line Smith's New Plane Smith's translation Solid Geometry straight angle straight line symmetry tangent theorem translation of Klein's triangle ABC trisected vertex
Popular passages
Page 147 - Cycloid. The cycloid is a curve generated by a point on the circumference of a circle which rolls on a straight line tangent to the circle.
Page 73 - ... of regular inscribed and circumscribed polygons having double the number of sides. Let AB be a side of the given inscribed polygon ; EF, parallel to AB, a side of the circumscribed polygon, and C the centre of the circle.
Page 98 - The common point is called the orthocenter. (3) The perpendicular bisectors of the sides of a triangle are concurrent. The common point is called the circum•center.
Page 126 - RA and RA'. Fold AP perpendicular to AR, meeting RA' in P. For different positions of R in DR, the locus of P is an ellipse, of which A A
Page 90 - Nay, that the three angles of a triangle are together equal to two right angles, is not a primitive judgment, for it needs other truths coming between to carry our conviction.
Page 149 - Price, $1.oo (5s.). DE MORGAN, AUGUSTUS. ON THE STUDY AND DIFFICULTIES OF MATHEMATICS. New Reprint edition with notes. Pp. viii+288. Cloth, $1.25 (5s.).
Page xiv - I have sought not only to aid the teaching of Geometry in schools and colleges, but also to afford mathematical recreation to young and old, in an attractive and cheap form. " Old boys " like myself may find the book useful to revive their old lessons, and to have a peep into modern developments which, although very interesting and instructive-, have been ignored by the Madras University.
Page 134 - K perpendicular to AB; at the middle point of BC draw EF perpendicular to B C. These two perpendiculars intersect at O.