Discussed are implications and derivations from vux" triangles (triangles having one angle the integral multiple of another). (JG)

The question is addressed of choosing four points on the circumference of an ellipse so that the quadrilateral formed has maximum area. (MP)

Multiplication and division have in general been much more difficult to perform than addition and subtraction. Perhaps, if we could find some device for reducing multiplication and division to addition and subtraction, computational loads could be lightened. One such device is that of logarithms of course. This note outlines another such device…

The development of the idea that "The essence of mathematics lies in its freedom," a quotation from Cantor, is discussed. Several examples are given of relative truth, and the problem of consistency is discussed. Mathematics and its relationship to the physical world is also explored. (MNS)

The length of the longest ladder which will go round a right-angled bend in a corridor is found by five methods, none of which involves calculus. (MM)

Using the secant ratio rather than the cosine in trigonometric calculations is discussed. (DT)

This paper takes a known point from Brocard geometry, a known result from the geometry of the equilateral triangle, and bring in Euler's [empty set] function. It then demonstrates how to obtain new Brocard Geometric number theory results from them. Furthermore, this paper aims to determine a [triangle]ABC whose Crelle-Brocard Point [omega]…

The second of three volumes of a mathematics training course for Navy personnel, this document contains material primarily found at the college level. Beginning with logarithms and trigonometry, the text moves into vectors and static equilibrium (physics). Coordinate geometry, conic sections, and the tangents, normals, and slopes of curves follow.…

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…

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…