This publication, with alterations and amendments, has been adapted to the use of American surveyors. The first section discusses decimal fractions, the square root, geometrical definitions, theorems and problems, and logarithm numbers, signs, and tangents. The second section contains plane trigonometry right angled and oblique, with its…

Errors made by students in using auxiliary lines in a geometric proof are analyzed. (DT)

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…

A method for finding the relationship between the measure of the angle formed by two tangents to a circle and the intercepted arc is presented. (DT)

A paradox involving the circumferences of two concentric circles is investigated and explained. (DT)

The author has microfilmed chalkboard drawings of problem solutions and employed the individualized frames as slides for projection. Copies are availabe to Arizona junior college technical drafting departments from the State Department of Education. (JK)