See JC 690 392 above.

This textbook covers geometry and trigonometry and presents problems for student consideration. Contents include geometry, plane trigonometry, analytical trigonometry, spherical trigonometry, and mensuration. [This book was adapted by Charles Davies.]

This textbook presents principles, ratios and proportions, the circle and measurement of angles, the proportions of figures and the measurement of areas, regular polygons and measurement of the circle, planes and solid angles, polyhedrons, the three round bodies, spherical triangles and spherical polygons, regular polyhedrons, plane and spherical…

Closed curves of constant width are studied to determine which types might serve as boundaries for the cross section of a roller and which types might define the shape of a wheel. (DT)

Four regular compounds of the dodecahedron and the icosahedron are discussed. (MM)

A description of mathematics as a game'' with a statement of rules and an investigation of the consequences is applied to a finite geometry problem concerning sets and subsets of club members and lunches. (DT)

This article shows how ideas of maximum or minimum values of fundamental quantities have developed through the ages. (Author/JG)

The triangular array formed from the coefficients of sin + cos is discussed in relation to Pascal's triangle. (JG)

Discusses regular polygons, polyhedra, and polytopes; nonconvex regular polygons and polyhedra; and compound regular polygons and polyhedra. (MKR)

The geometric properties and Euclidean nature of dissimilarity coefficients defined on finite sets are discussed. Several particular transformations are presented that preserve Euclideanarity. The study of a one-parameter family adds to current knowledge of the metric and Euclidean structure of coefficients based on binary data. (SLD)

Six experiments examined whether there were circumstances in which toddlers could use landmarks for spatial reorientation. Findings confirmed that geometric information is used for reorientation by toddlers, but give reason to doubt that the use of this information is achieved using a module impenetrable to nongeometric information. (Author/KB)

This article investigates the geometry and algebra behind what happens when the definition of a parabola is changed by altering the size of the focal point.

In this article, I model how a problem-posing framework can be used to enhance our abilities to systematically generate mathematical problems by modifying the attributes of a given problem. The problem-posing model calls for the application of the following fundamental mathematical processes: proving, reversing, specializing, generalizing, and…

This paper, the second of a two part article, expands on an idea that appeared in literature in the 1950s to show that by restricting the domain to those complex numbers that map onto real numbers, representations of functions other than the ones in the real plane are obtained. In other words, the well-known curves in the real plane only depict…