A method is given for the analysis of geodesic domes involving plane geometry. The method shows how to calculate all necessary angles and chords, given the length of one side. (MP)

Five solutions to the problems of constructing an equilateral triangle within any triangle and having the vertices on the sides of the given triangle are presented and a generalization is made. (CT)

This book, photographically reproduced from its original 1942 edition, is an extended essay on one of the three problems of the ancients. The first chapter reduces the problem of trisecting an angle to the solution of a cubic equation, shows that straightedge and compasses constructions can only give lengths of a certain form, and then proves that…

Problems involving the generation and counting of isosceles triangles interior to a given isosceles triangle are described. (SD)

Some ways of thinking and acting geometrically are described which are related to the approach used by ancient humans. The focus is on intuitive geometric imagery, an attempt to resurrect a way of describing possible viewpoints of geometry outside of those commonly accepted. (MP)

This column contains brief notes on graphing in three dimensions; patterns in Pascal's triangle; plotting graphs by computer; and an application of the hypocycloid. (MM)

A definition is given for curves parallel to a closed curve. Equations for inner and out elliptic parallels are derived and explained. (RS)

Brief articles on topological regular solids giving a proof of Euler's Theorem and the Regularity Theorem; calculus theorems; including a limit theorem, the Law of the Man, and the Intermediate Value Theorem, applied to catching calves, drunk cowboys, and the border of Montana Respectively; and a discussion of the inequality tan A<A<sin A…