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2. Recent Publications

Author

H. V. Craig, Mark H. Ingraham, G. A. Miller, J. R. Musselman, A. A. Bennett, and R. M. Winger

Subjects
General Mathematics
Published
1932
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5. On the Equilateral Hyperbola

Author

J. R. Musselman

Subjects
General Mathematics, Geometry, Equilateral triangle, Hyperbola, Mathematics
Abstract

(1931). On the Equilateral Hyperbola. The American Mathematical Monthly: Vol. 38, No. 7, pp. 383-386.

Published
1931
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6. Recent Publications

Author

A. J. Kempner, J. R. Musselman, C. H. Yeaton, W. L. Schaaf, C. C. Grove, and A. A. Bennett

Subjects
General Mathematics
Published
1933
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7. Mathematical Notes

Author

Ernst Breitenberger, Arthur A. Sagle, H. D. Sprinkle, J. R. Musselman, and M. S. Klamkin

Subjects
General Mathematics
Published
1957
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10. ON THE CORRELATION OF HEAD MEASUREMENTS AND MENTAL AGILITY. WOMEN

Author

J. R. Musselman

Subjects
Statistics and Probability, Correlation, medicine.medical_specialty, Applied Mathematics, General Mathematics, medicine, Statistics, Probability and Uncertainty, Audiology, General Agricultural and Biological Sciences, Head measurements, Agricultural and Biological Sciences (miscellaneous), Mathematics
Published
1926
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13. Some Loci Connected with a Triangle

Author

J. R. Musselman

Subjects
Combinatorics, General Mathematics, Mathematics
Abstract

(1940). Some Loci Connected with a Triangle. The American Mathematical Monthly: Vol. 47, No. 6, pp. 354-361.

Published
1940
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19. Recent Publications

Author

J. R. Musselman, C. A. Shook, H. B. Phillips, W. L. Schaaf, H. J. Ettlinger, and L. T. Moore

Subjects
General Mathematics
Published
1935
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31. E323

Author

J. R. Musselman and A. V. Richardson

Subjects
General Mathematics
Published
1939
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34. On a Triangle Connected with any Triangle

Author

J. R. Musselman

Subjects
Combinatorics, symbols.namesake, Altitude (triangle), Medial triangle, General Mathematics, Isosceles triangle, symbols, Euler line, Nine-point circle, Integer triangle, Right triangle, Mathematics, Incircle and excircles of a triangle
Published
1937
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35. On the Geometry of the Triangle

Author

J. R. Musselman

Subjects
Physics, symbols.namesake, Medial triangle, General Mathematics, Isosceles triangle, symbols, Exterior angle theorem, Schwarz triangle, Geometry, Sum of angles of a triangle, Triangle group, Integer triangle, Euler's theorem in geometry
Published
1939
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38. On Certain Types of Hexagons

Author

J. R. Musselman

Subjects
Combinatorics, Plane (geometry), General Mathematics, Quartic function, Polygon, Root (chord), Point (geometry), Field (mathematics), Complex number, Resolvent, Mathematics
Abstract

1. The resolvent, VI= x0 +.EX, + . x1 -I2x2 +* + E1-x 1, where E is a primitive n-th root of uiity, was introduced by Lagrange 2 in his memoirs devoted to the fundamental principles of the solutions of the cubic and quartic equations. Its entrance, however, into the field of geometry is very recent. If we represent any point P in the plane by the single complex number p, and if Mk (k 0, 1, * , n 1) represents the n vertices of a positivelyordered polygon, then when the co6rdinates pA of these vertices are subject to one and only one condition, namely that

Published
1935
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41. The Planar Imprimitive Group of Order 216

Author

J. R. Musselman

Subjects
Section (fiber bundle), Pure mathematics, Ruler, business.product_category, Perspective (geometry), Planar, Group (mathematics), General Mathematics, Compass, Order (group theory), Canonical form, business, Mathematics
Abstract

In a paper,* which discussed the imprimitive group of ordelr 5184 in S3, the existence of an imprimitive group of order 216 in S2 connected with the Hesse configurations was indicated. The purpose of this paper is to discuss this planar group and the geometry associated with it. Of special interest is a configuration of twelve triangles which possesses important properties. These are dealt with in Section II. In Section I is a study of four-fold perspective triangles. A new canonical form is used which leads to a ruler construction for them and to a compass construction for a Clebsch six-point. I. FOUR-FOLD PERSPECTIVE TRIANGLES.

Published
1931
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43. E68

Author

W. F. Cheney, Roy MacKay, and J. R. Musselman

Subjects
General Mathematics
Published
1934
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49. On a Geometrical Theorem

Author

J. R. Musselman

Subjects
Pure mathematics, Kelvin–Stokes theorem, General Mathematics, Fundamental theorem of calculus, No-go theorem, Divergence theorem, Fixed-point theorem, Danskin's theorem, Brouwer fixed-point theorem, Squeeze theorem, Mathematics
Published
1957
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