The Mathematical Association of America Maryland-District of Columbia-Virginia Section

Talks Given at Section Meetings, 1927-1936

Section Meeting 21: University of Maryland, May 7, 1927

1. The problem of three vortices
   Professor F. Morley, Johns Hopkins University
2. Euclidean invariants of the plane cubic
   P. J. Federico and P. R. Neff, U. S. Patent Office
3. Lagrange resolvents in Euclidean geometry
   L. M. Blumenthal, Johns Hopkins University
4. The Lagrange resolvents of a triangle
   J. W. Peters, Johns Hopkins University
5. The drag of wings with end plates
   Dr. P. E. Remke, Postgraduate School, U. S. Naval Academy
6. The contribution of Newton to pure mathematics
   E. W. Woolard, U. S. Weather Bureau
7. The contribution of Laplace to pure mathematics
   Professor A. W. Richeson, University of Maryland
8. On generalized free perspective
   Dr. P. Wernicke, U. S. Patent Office
9. A note on the orthopole
   Professor F. D. Murnaghan, Johns Hopkins University

Section Meeting 22: Georgetown University, December 3, 1927

1. On the equilibrium of an elastic blade
   Dr. Tobias Dantzig, University of Maryland
2. A configuration of ten points analogous to the Desargues configuration
   Professor A. B. Coble, Johns Hopkins University
3. An extension of the Gauss problem of eight queens
   Dr. L. M. Blumenthal, Johns Hopkins University
4. Observers' patterns
   Howard S. Rappleye, U. S. Coast and Geodetic Survey, invited address
5. Rational paths with supersingular equations
   Rev. E. C. Phillips, Georgetown University
6. Some remarks on a recent textbook of College Geometry
   Dr. J. N. Rice, Catholic University of America
7. On the application of differentials and definite integrals in physics
   Mr. E. W. Woolard, U. S. Weather Bureau
8. Some remarks on the danger of hasty generalization
   Professor R. E. Roor, Postgraduate School, U. S. Naval Academy

Section Meeting 23: United States Naval Academy, May 5, 1928

1. A transformation of the Clifford configuration into itself
   Professor Frank Morley, Johns Hopkins University
2. A cubic curve and a reflector
   Dr. Bessie I. Miller, Rockford College, IL (on leave)
3. An interesting conformal projection of the sphere depending upon elliptic functions
   Dr. Oscar S. Adams, U. S. Coast and Geodetic Survey
4. Two mutual relations possible between a pair of tetrahedral
   Dr. Paul Wernicke, U. S. Patent Office
5. The first English Euclid
   Professor Walter F. Shenton, American University
6. Some researches on the triangularly symmetric rational quartic
   Mr. Frank E. Smith, Catholic University of America
7. On the genetic equilibrium of a random bred population
   Professors Tobias Dantzig and William B. Kemp, University of Maryland
8. An invariant of a space configuration
   Dr. Leonard M. Blumenthal, Johns Hopkins University

Section Meeting 24: Johns Hopkins University, December 8, 1928

1. On Euclidean geometry
   Professor Frank Morley, Johns Hopkins University
2. Curves of pursuit
   Professor Tobias Dantzig, University of Maryland
3. Teaching limits to freshmen
   Professor R. E. Root, Postgraduate School, U. S. Naval Academy
4. Reiteration paths
   Professor John Tyler, U. S. Naval Academy
5. The theorems of Ceva and Menelaus and their extension (Second Paper)
   Dr. Paul Wernicke, U. S. Patent Office
6. A method of estimating tidal friction
   Mr. W. D. Lambert, U. S. Coast and Geodetic Survey
7. Correlation and causation
   Mr. E. W. Woolard, George Washington University

Section Meeting 25: George Washington University, May 4, 1929

1. Vector operations in projective geometry
   Professor Tobias Dantzig, University of Maryland
2. Some industrial engineering curves
   Professor Harry Gwinner, University of Maryland
3. The invalidity of a certain method of computing a probable error
   Professor J. B. Scarborough, U. S. Naval Academy
4. Some interesting formulae for the constant pi
   J. A. Duerksen, U. S. Coast and Geodetic Survey
5. On Einstein's new theory
   Professor F. D. Murnaghan, Johns Hopkins University
6. Comment on the problem of three listening posts
   Professor Paul Capron, U. S. Naval Academy

Section Meeting 26: St. John's College, December 7 1929

1. On the Bertrand paradox
   Professor Tobias Dantzig, University of Maryland
2. Solutions of equations by continued fractions
   Professor Paul Capron, U. S. Naval Academy
3. Differentiation and substitution,
   Professor John Tyler, U. S. Naval Academy
4. The rectangular hexagon
   Dr. Paul Wernicke, U. S. Patent Office
5. Isometric projection as an aid in solid geometry
   Professor Walter F. Shenton, American University
6. Oscillations of a rotating shaft
   Professor R. E. Root, Postgraduate School, U. S. Naval Academy
7. Packing of spheres and hyperspheres
   Michael Goldberg, Bureau of Ordnance, Navy Department

Section Meeting 27: Goucher College, May 10, 1930

1. On linear subspaces of a given space
   Dr. O. Zariski, Johns Hopkins University
2. Mathematical aspects of a theory of the frequency distribution of species
   Florence P. Lewis, Goucher College
3. The potential of a spherical zone
   W. D. Lambert, U. S. Coast and Geodetic Survey
4. Some episodes from the history of the infinite
   Tobias Dantzig, University of Maryland
5. On a problem of regions
   H. A. Robinson, Johns Hopkins University

Section Meeting 28: American University, December 13, 1930

1. An engineer's method of solving cubic and quartic equations
   Harry Gwinner, University of Maryland
2. Small vibrations of particles in systems analogous to certain organic compounds
   R. C. Yates, The Johns Hopkins University
3. Integral powers of Bazin's matrix
   J. Williamson, The Johns Hopkins University
4. Some naval tactics in analytic geometry
   C. H. Rawlins, Jr., Post­ graduate School, U. S. Naval Academy

Section Meeting 29: University of Richmond, May 9, 1931

1. Primitive roots of prime numbers
   F. E. Johnston, George Washington University
2. Rotations in four-dimensional space
   B. Z. Linfield, University of Virginia
3. The restricted use of the ruler in constructions of projective geometry
   Oscar Zariski, Johns Hopkins University
4. Some applications of Carathéodory's method of geodetic equidistance
   Gillie A. Larew, Randolph-Macon Woman's College
5. The potential of a homogeneous cylinder
   Walter D. Lambert, U. S. Coast and Geodetic Survey
6. A direct analytical proof of Pascal 's theorem and related theorems
   T. L. Wade, University of Virginia, invited address
7. Homologous rectifications of curves
   John Tyler, U. S. Naval Academy

Section Meeting 30: United States Naval Academy, December 5, 1931

1. Analogues of De Moivre's theorem
   Professor John Tyler, U. S. Naval Academy
2. The theory of six n umbers
   Professor Frank Morley, Johns Hopkins University, invited address
3. On the conditions for the existence of a kinetic potential
   Professor H. Taylor, George Washington University
4. Probability in bombing as related to the angle of approach
   Professor C. C. Bramble, Postgraduate School, Naval Academy
5. Magic squares
   H. M. Robert, U. S. Naval Academy, invited address
6. Tritangent circles of the rational bi-cubic
   W. K. Morrill, Johns Hopkins University

Section Meeting 31: University of Maryland, May 7, 1932

1. A second note on the celestial sphere
   Professor Frank Morley, Johns Hopkins University, invited address
2. Factorization of a matrix
   Archie Blake, U. S. Coast and Geodetic Survey
3. On the relations of matrices to elementary mathematics
   Professor F. D. Murnaghan, Johns Hopkins University
4. A geometric proof of a theorem of Eddington
   Dr. Oscar Zariski, Johns Hopkins University
5. Projective derivatives
   Professor Tobias Dantzig, University of Maryland
6. Difference equations and differential equations
   Professor Richard Courant, University of Gottingen.
7. Regular accessibility
   Beatrice Aitchison, Johns Hopkins University (graduate student)
8. Congruences of lines in space
   Dr. Jacob Yerushalmy, Princeton University (post-doc), invited address

Section Meeting 32: Johns Hopkins University, December 3 1932

1. On mappings with functions of finite sections
   Beatrice Aitchison, Johns Hopkins University.
2. Various formulas for the numerical integration of differential equations
   Dr. L. S. Dederick, Aberdeen Proving Ground
3. Perspective solid angles
   Professor B. Z. Linfield, University of Virginia
4. An irreducible system, complete through the fifth degree, of Euclidean invariants of the ternary cubic
   T. L. Wade, University of Virginia
5. A geometry of acyclic spaces
   Dr. C. H. Harry, Johns Hopkins University
6. Recent contributions to the problem of existence of curves with pre-assigned singularities
   Professor Oscar Zariski, Johns Hopkins University

Section Meeting 33: University of Virginia, May 13, 1933

1. The characterization of some remark able systems of points of interpolation by means of conjugate points, of the Cotes's numbers, and of certain external properties
   Professor Lipót Fejér, University of Budapest, invited address
2. On the frequency of high correlation coefficients in small samples
   Archie Blake, U. S. Coast and Geodetic Survey
3. A problem concerning the homogeneity of continua
   C. H. Wheeler, Johns Hopkins University
4. Four-dimensional orthogonal matrices
   Professor F. D. Murnaghan, Johns Hopkins University
5. Projective geometry and vector analysis
   Professor Tobias Dantzig, University of Maryland
6. A paradox in differential geometry
   Professor B. Z. Linfield, University of Virginia
7. The Taylor series construction of a function using only the derivative process
   Professor W. H. Echols, University of Virginia
8. Syzygies for Weitzenbock's irreducible complete system of Euclidean concomitants for the conic
   T. L. Wade, University of Virginia

Section Meeting 34: George Washington University, December 9, 1933

1. A property of Steiner's deltoid
   Professor A. E. Landry, Catholic University of America
2. The periodic motion of a dynamical system near an equilibrium point of stable type
   Dr. D. C. Lewis, Jr., Johns Hopkins University
3. A simple geometric configuration
   Professor F. E. Johnston, George Washington University
4. An irreducible complete system of Euclidean concomitants for the line and the conic
   T. L. Wade, Jr., University of Virginia
5. On a property of contact transformations
   Professor Tobias Dantzig, University of Maryland
6. State systems of plane coordinates
   Dr. 0. S. Adams, U. S. Coast and Geodetic Survey
7. An explicit summation formula for the finite series ∑_n=1^n=x n^p
   Janny Yates, University of Maryland
8. On general aspects of the calculus of variations
   Professor Arnold Dresden, Swarthmore College, President of the MAA

Section Meeting 35: College of William and Mary, May 12, 1934

1. An algebraically complete system of Euclidean invariants for the ternary quartic
   J. W. Blincoe, University of Virginia
2. Elementary introduction to quaternions
   Professor F. D. Murnaghan, Johns Hopkins University
3. Some interesting features of frequency curves
   R. T. Zoch, George Washington University
4. A theorem on the resultant of two polynomials
   Oscar Zariski, Johns Hopkins University
5. An irreducible complete system of Euclidean concomitants for three points
   W. T. Puckett, University of Virginia
6. The torsion in bars of parallelogram cross section
   G. H. Keulegan, Bureau of Standards
7. Some remarks concerning Finsler geometry
   J. H. Taylor, George Washington University, invited address

Section Meeting 36: Johns Hopkins University, December 8 1934

1. Properties of geodesics on polyhedrons
   Richard Kershner, The Johns Hopkins University
2. The Kakeya minimal problem
   Michael Goldberg, Navy Department
3. The nth derivative of a function evaluated by means of the indeterminate equation k₁+2k₂+...+pk_p=0
   Professor John Tyler, U. S. Naval Academy
4. Some irrational covariants
   Professor Frank Morley, The Johns Hopkins University
5. Remarks concerning the Liouville theorem on transcendentals
   C. W. Williams, University of Maryland, introduced by Professor Dantzig
6. Analytic topology
   Professor G. T. Whyburn, University of Virginia, invited address

Section Meeting 37: George Washington University, May 11, 1935

1. A problem in installment finance
   Dr. T. N. E. Greville, Acacia Mutual Life Insurance Company, Washington, DC
2. An elementary method of finding maxima and minima values of a function
   Professor John Tyler, U. S. Naval Academy. (Read by title)
3. On a Van der Corput Landau absolute constant
   Richard Kershner, The Johns Hopkins University, introduced by Professor Murnaghan
4. The extremals for a class of problems in the calculus of variations
   Almeda J. Garland, Randolph-Macon Woman's College
5. Continuous transformations preserving all topological properties
   J. F. Wardwell, The Johns Hopkins University
6. Existence theorems for differential equations
   Professor J. M. Thomas, Duke University

Section Meeting 38: University of Maryland, December 7, 1935

1. On the postulate of the arithmetic mean
   R. T. Zoch, United States Weather Bureau
2. The life and work of Simon Newcomb
   Dr. E. W. Woolard, United States Weather Bureau
3. The existence of alphabets having no interval repetitions
   Dr. A. Sinkov, Washington
4. Surveying texts before 1800
   Professor W. F. Shenton, American University
5. Magic squares
   Professor H. M. Robert, United States Naval Academy
6. An elementary envelope problem
   Professor R. E. Gaines, University of Richmond
7. Recent developments in the problem of Plateau
   Professor E. J. McShane, University of Virginia

Section Meeting 39: United States Naval Academy, May 9, 1936

1. An examination for instructors in mathematics
   Professor G. R. Clements, U. S. Naval Academy
2. On the abstract definition of a group
   Dr. Abraham Sinkov, Washington, DC
3. An algebraic approach to weather forecasting
   Professor R. E. Root, U. S. Naval Academy
4. Newton's method and the method of iteration
   Professor J. M. Stetson, College of William and Mary
5. A method for finding equations of composite surfaces
   Professor G. C. Vedova, St. John's College
6. Some curious aspects of mathematical history
   Professor Tobias Dantzig, University of Maryland, invited address

Section Meeting 40: National Bureau of Standards, December 5, 1936

1. Hyperconformal transformations
   G. F. Alrich, University of Maryland
2. An elementary transformation of rectangular axes
   Professor J. W. Blincoe, University of Virginia
3. On the role of a basis in vector analysis
   Professor J. H. Taylor, George Washington University
4. Certain factorial sums
   Dr. Solomon Kullback, Office of the Chief Signal Officer, Washington, DC
5. An episode in the life of Sylvester
   Professor R. C. Yates, University of Maryland
6. Cremona transformations and their applications to algebraic function theory
   Professor A. E. Landry, Catholic University of America