This volume, a reprinting of a classic first published in 1952, presents detailed discussions of 26 curves or families of curves, and 17 analytic systems of curves. For each curve the author provides a historical note, a sketch or sketches, a description of the curve, a discussion of pertinent facts, and a bibliography. Depending upon the curve,…

A class of triangles related to the Pythagorean triangles is described; theorems concerning this class are proved. (SD)

Presents theorems about lines and lattice points, and relates these to combinatorial analysis. (RS)

This study was designed to ascertain the relative effectiveness of two approaches for teaching descriptive geometry by a comparison of the following behavioral variables--(1) performance in the solution of graphical problems, (2) spatial perception, (3) abstract reasoning ability, (4) technical information achievement, and (5) attitude toward…

The mathematics involved in a practical application of matrices and vectors to the field of computer graphics where three-dimensional objects are moved and displayed is explained. (DT)

Instructions are given for building a flexible model used for illustrating an elliptic paraboloid, a parabolic cylinder, and a hyperbolic paraboloid. (DT)

Seven articles present: 1) a solution to a force equilibrium problem, 2) a magic square, 3) a characteristic of right triangles, 4) a family tree of Pythagorean triples, 5) a misunderstanding which may be cleared through modern mathematics, 6) a technique for solving conversion problems, and 7) a special permatation problem. (RS)

Six short articles concerned with mathematics education are included. (FL)

A collection of mathematical notes - On the Roots of a Certain Determinantal Equation", A Geometrical Look at the Square Root of Pi", and others. (RP) A class of Second Order

Examples are given of problems which can be solved pictorially, thus aiding in the general development of geometric intuition and in developing some of the basic ideas of probability. (MP)