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

Talks Given at Section Meetings, 1917-1926

Section Meeting 1: Johns Hopkins University, March 3, 1917

1. The aims and possibilities of this local section
   Professor R. E. Root, U. S. Naval Academy
2. A college or university course for teachers of secondary mathematics
   Professor L. S. Hulburt, Johns Hopkins University

Section Meeting 2: St. John's College, December 15, 1917

1. Report on the 1917 summer meeting of the Association at Cleveland
   Dr. G. R. Clements, U. S. Naval Academy
2. A method for finding a particular integral for certain linear differential equations
   Professor A. B. Coble, Johns Hopkins University
3. Report on the construction of certain mathematical tables
   Mr. C. E. Van 0rstrand, U. S. Geological Survey
4. Geometrical stereograms
   Dr. W. F. Shenton, U. S. Naval Academy
5. Lambert's conformal conic projection
   Mr. 0. S. Adams, U. S. Coast and Geodetic Survey
6. An application of Grassmann's Ausdehnungslehre to the theory of invariants
   Mr. W. E. Heal, Washington, DC
7. Pseudo-regular polyhedra
   Professor W. W. Johnson, U. S. Naval Academy

Section Meeting 3: Catholic University, May 4, 1918

1. On the problem of elimination
   Professor Frank Morley, Johns Hopkins University
2. The doubly periodic functions connected with the curve
   Mr. 0. S. Adams, U. S. Coast and Geodetic Survey
3. Some results relating to the in- and circumscribed triangle of the rational quartic
   Professor A. E. Landry, Catholic University
4. On Duhamel's theorem
   Professor L. S. Hulburt, Johns Hopkins University
5. On the Missouri system of grading students
   Professor Florence P. Lewis, Goucher College
6. A college training course in secondary mathematics
   Dr. H. C. Gossard, U. S. Naval Academy
7. The use of polar line-coordinates
   Mr. Paul Capron, U. S. Naval Academy
8. A general system of approximate integration formulas
   Mr. M. Sasuly, Bureau of Standards
9. Matrices connected with the invariants of the equation of the second degree
   Dr. J. A. Bullard, U. S. Naval Academy

Section Meeting 4: Johns Hopkins University, January 18, 1919

1. Content of a course in analytic geometry
   Dr. G. R. Clements, U. S. Naval Academy (Discussion led by Professor Clara L. Bacon, Goucher College)
2. Lambert's mapping
   Professor Frank Morley, Johns Hopkins University
3. The teaching of the subject of limits
   Professor Clara E. Smith, Wellesley College
4. The polyconic projection and the quadrillage associated therewith
   Mr. 0. S. Adams, U. S. Coast and Geodetic Survey

Section Meeting 5: United States Naval Academy, May 13, 1919

1. Symposium on Mathematics for Engineering Students
   a) Paper, Prof. Abraham Cohen, Johns Hopkins University (Mathematics)
   b) Discussion, Prof. Alexander Dillingham, U. S. Naval Academy (Mathematics)
   c) Paper, Prof. T. J. MacKavanagh, Catholic University (Engineering), by invitation
   d) Discussion, Prof. L. A. Doggett, U. S. Naval Academy (Engineering), by invitation
   e) General Discussion
2. Circular parts, the general case
   Prof. W. W. Johnson, U. S. Naval Academy
3. A study of map projections in general
   Mr. Oscar S. Adams, U. S. Coast and Geodetic Survey

Section Meeting 6: George Washington University, December 6, 1919

1. Calculation of the date of Easter
   Professor F. D. Murnaghan, Johns Hopkins University
2. Precise leveling in the United States
   Mr. H. G. Avers, Coast and Geodetic Survey
3. Proof that in a plane world infinite in extent, but finite in thickness, gravity would be a constant at any altitude
   Mr . A. S. Hawkesworth, Naval Ordnance
4. Geometrical proportion
   Mr. W. E. Heal, Bureau of Plant Industry
5. Desirable changes in the mathematical courses in the high school
   Mr. Harry English, Washington High Schools
6. Report of the Summer Meeting of the Association at Ann Arbor, Michigan
   Dr. G. H. Cresse, U. S. Naval Academy, and Professor Florence P. Lewis, Goucher College
7. Internal constitution of the earth
   Mr. W. D. Lambert, Coast and Geodetic Survey
8. A simple instrument for the inversion and the mechanical calculation of trigonometric functions
   Dr. T. Danzig, Johns Hopkins University

Section Meeting 7: Goucher College, May 15, 1920

1. Determination of longitude by the U. S. Coast and Geodetic Survey (Illustrated)
   Miss Sarah Beall, U. S. Coast and Geodetic Survey
2. Graphical methods applied to a curve of pursuit problem
   Mr. F. V. Morley, Johns Hopkins University
3. Modular geometry
   Professor A. A. Bennett, Technical Staff, Army Ordnance, Baltimore, MD
4. Some intrinsic geometric properties of plane curves and the related algebraic functions
   Professor J. B. Coleman, University of South Carolina
5. Coordinate systems in modern ballistics
   Capt. R. S. Hoar, Aberdeen Proving Grounds
6. Plane curves developed upon cylinders and cones
   Professor J. J. Luck, University of Virginia
7. Some maxima and minima in elementary geometry
   Dr. T. H. Gronwall, Technical Staff, Army Ordnance
8. The mathematical basis of the Einstein theory of relativity
   Dr. F. D. Murnaghan, Johns Hopkins University
9. Singular curves of a plane pencil
   Professor C. C. Bramble, U. S. Naval Academy
10. An expression for the tangential velocity of a particle
    Dr. G. H. Cresse, U. S. Naval Academy
11. A note on the roots of the derivative of a polynomial
    Professor W. H. Echols, University of Virginia

Section Meeting 8: United States Naval Academy, Dec 11, 1920

1. Some mechanical curiosities connected with the earth's field of force
   Mr. W. D. Lambert, U. S. Coast and Geodetic Survey
2. Parallel components in statistical equilibrium
   Professor G. R. Clements, U. S. Naval Academy
3. Singular curves of a plane pencil
   Professor C. C. Bramble, U. S. Naval Academy
4. Remarks on a problem in geometry
   Dr. F. D. Murnaghan, Johns Hopkins University
5. Some arithmetic operations with transfinite ordinals
   Professor A. A. Bennett, Technical Staff, Army Ordnance
6. Multiple improper integrals
   Mr. C. A. Shook, U. S. Naval Academy
7. On a certain statistical problem
   Dr. J. R. Musselman, Johns Hopkins University

Section Meeting 9: Drafting Hall, United States Capitol, May 7, 1921

1. Relations between the metric and projective theories of curves
   Professor T. McN. Simpson, Jr., Randolph-Macon College
2. Shearing stress in thick cylinders
   Professor R. E. Root, U. S. Naval Academy
3. Mechanical prediction of tides
   Mr. W. D. Lambert, U. S. Coast and Geodetic Survey
4. Suggestions as to improvements in text-books on mathematics
   Professor Angelo Hall, U. S. Naval Academy
5. A geometrical problem in maxima and minima
   Professor F. D. Murnaghan, Johns Hopkins University
6. On Fermat's last theorem
   Mr. W. E. Heal, Coast and Geodetic Survey
7. An arithmetical study of regular solids
   Dr. G. H. Cresse, U. S. Naval Academy
8. An elementary method of computing logarithms
   Professor L. S. Dederick, U. S. Naval Academy
9. A note on the history of non-euclidean geometry
   Professor Abraham Cohen, Johns Hopkins University
10. Imaginary points in geometry
    Professor A. A. Bennett, Army Ordnance

Section Meeting 10: Johns Hopkins University, December 10, 1921

1. On a remarkable property of (a+b√-n)ⁿ where n is of the form 4m+3
   Mr. Wm. E. Heal, U. S. Coast and Geodetic Survey
2. An arithmetical pyramid
   Dr. J. R. Musselman, Johns Hopkins University
3. Multiple-valued solutions of Laplace's equations
   Mr. C. A. Shook, U. S. Naval Academy
4. Recent progress in hydrodynamics
   Professor F. D. Murnaghan, Johns Hopkins University
5. An extension of Ptolemy's theorem
   Professor Frank Morley, Johns Hopkins University
6. Variation of latitude
   Mr. W. D. Lambert, U. S. Coast and Geodetic Survey
7. The fluctuating attitude toward mathematics
   Mr. Harry English, Washington High Schools
8. Minimal curves
   Dr. L. M. Kells, U. S. Naval Academy

Section Meeting 11: United States Naval Academy, May 13, 1922

1. Self-inverse curves
   Professor Frank Morley, Johns Hopkins University
2. The significance of assumptions
   Professor T. McN. Simpson, Jr., Randolph-Macon College
3. Remarks on the theory of relativity
   Professor F. D. Murnaghan, Johns Hopkins University
4. On Grreffe's method for the numerical solution of algebraic equations (illustrated)
   Professor L. B. Tuckerman, U. S. Bureau of Standards, by invitation
5. The parallax of the moon and the ellipticity of the earth
   Mr. W. D. Lambert, U. S. Coast and Geodetic Survey

Section Meeting 12: Bureau of Standards, December 9, 1922

1. A problem in the theory of numbers
   Dr. J. R. Musselman, Johns Hopkins University
2. (a) A remarkable formula for prime numbers; (b) A method of distinguishing between prime and composite numbers of large size
   Dr. Paul R. Heyl, Bureau of Standards
3. Remarks on the proposed plan of reorganization of secondary school Mathematics
   Professor A. E. Landry, Catholic University
4. Dynamic symmetry
   Professor H. M. Robert, Jr., U. S. Naval Academy
5. Remarks on a problem in geometry
   Professor Frank Morley, Johns Hopkins University
6. A property of a system of partial differential equations
   Dr. C. A. Nelson, Johns Hopkins University

Section Meeting 13: Johns Hopkins University, May 12, 1923

1. An application of tensor analysis to dynamics
   Professor F. D. Murnaghan, Johns Hopkins University
2. Periodic functions in machine design
   Professor R. E. Root, U. S. Naval Academy
3. Invariants of the binary octavic
   Miss A. M. Whelan
4. The volume bounded by Steiner's quartic surface
   Professor J. A. Bullard, U. S. Naval Academy
5. The lemniscate functions as developed by Gauss
   Mr. 0. S. Adams, U. S. Coast and Geodetic Survey
6. The motion of a particle on a rotating sphere
   Mr. W. D. Lambert, U. S. Coast and Geodetic Survey
7. An example of conformal mapping
   Professor Frank Morley, Johns Hopkins University

Section Meeting 14: St. John's College, December 8, 1923

1. Mathematics and geophysics
   Mr. W. D. Lambert, U. S. Coast and Geodetic Survey
2. Mathematics of meteorology
   Mr. E. W. Woolard, U. S. Weather Bureau
3. The use of mathematics in naval construction
   Commander A .J. Chantry, Jr., U.S.N. Head of the Department of Mathematics, U. S. Naval Academy, by invitation
4. The growth function
   Dr. L. J. Reed, Johns Hopkins School of Hygiene
5. Mathematics of a warped airplane wing
   Professor J. B. Scarborough, U. S. Naval Academy
6. Variation on an old theme
   Professor Frank Morley, Johns Hopkins University
7. The differential operator
   Professor John Tyler, U. S. Naval Academy
8. A question in the theory of numbers
   Dr. Rainich, Johns Hopkins University, by invitation
9. The minimum distance problem for four points in space
   Dr .F. D. Murnaghan, Johns Hopkins University

Section Meeting 15: Thomson School Building, Washington, DC, May 17, 1924

1. The axes of an n-line
   Professor Frank Morley, Johns Hopkins University
2. A modern presentation of determinants
   Professor F. D. Murnaghan, Johns Hopkins University
3. A remark on Viviani's enigma
   Professor J. A. Bullard, U. S. Naval Academy
4. Vectors in the foundations of geometry
   Dr. G. Y. Rainicii, Johns Hopkins University, by invitation
5. A problem in probabilities
   Professor C. C. Bramble U. S. Naval Academy
6. Gothic window tracery curves
   Professor E. C. Phillips, Woodstock College
7. Curve fitting
   Professor J. R. Musselman of Johns Hopkins University
8. On Kichewsky's method of fitting frequency curves
   E. W. Woolard, U. S. Weather Bureau

Section Meeting 16: Johns Hopkins University, December 6, 1924

1. The slighted pyramid
   Professor Harry Gwinner, University of Maryland
2. Needs of symbols for partial and total differential coefficients
   Professor A. Cohen, Johns Hopkins University
3. On the Jonquières curve
   Dr. C. A. Nelson, Johns Hopkins University
4. The distance between two points on an ellipsoidal earth
   Mr . W. D. Lambert, U. S. Coast and Geodetic Survey
5. The summation method for the determination of the Pearsonian coefficient of correlation
   Miss Elizabeth W. Wilson, Central High School, Washington, DC
6. Parametric equations of the perimeter of regular polygons
   Dr. 0. S. Adams, U. S. Coast and Geodetic Survey
7. A geometrical discussion of right-angled triangles with integral sides
   Mr. R. L. Cary, Baltimore, MD
8. A laboratory course in mathematics
   Professor R. E. Root, U. S. Naval Academy
9. A mathematical instruments laboratory
   Professor C. C. Bramble, U. S. Naval Academy

Section Meeting 17: St. John's College, May 16, 1925

1. The compression of a gravitating sphere
   Mr. W. D. Lambert, U. S. Coast and Geodetic Survey
2. Some formulae connected with great circle sailing
   Mr. W. M . Hamilton, U. S. Naval Observatory
3. The accuracy of Simpson's rule
   Professor J. B. Scarborough, U. S. Naval Academy
4. The identification of stars
   Miss Sarah Beall, U. S. Coast and Geodetic Survey
5. Some mathematical problems of meteorology
   Mr. E.W. Woolard, U. S. Weather Bureau
6. The Neuberg cubic
   Mr. B. C. Patterson, Johns Hopkins University
7. Some cissoidal curves
   Dr. C. A. Nelson, Johns Hopkins University

Section Meeting 18: George Washington University, December 5, 1925

1. The use of a certain general relation for the rapid interpolation of solar rectangular coordinates and similar functions
   Mr. J. E. Willis, U. S. Naval Observatory
2. Twenty years' trial of statistical methods in meteorology
   Mr. E. W. Woolard, U. S. Weather Bureau
3. Three homographic maps
   Professor Frank Morley, Johns Hopkins University
4. Freshman mathematics for non-technical students
   Professor F. Borden, George Washington University
5. Special Session on Relativity
   Physical aspects, Dr. Paul R. Heyl, Bureau of Standards
   Mathematical aspects, Professor F. D. Murnaghan, Johns Hopkins University
   General discussion, Dr. G. Y. Rainich, Johns Hopkins

Section Meeting 19: Johns Hopkins University, May 8, 1926

1. Percircular rational curves
   Professor E. C. Phillips, Georgetown College Observatory
2. Inversive coordinates
   Professor Frank Morley, Johns Hopkins University
3. Dividing a circle into any number of equal parts graphically
   Professor Harry Gwinner, University of Maryland
4. A problem connected with the ellipse
   Professor F. D. Murnaghan, Johns Hopkins University
5. The complex variable in the solution of problems in elementary geometry
   Professor G. A. Bingley, St. Johns College
6. Families of circles representing moving points
   Dr. G. Y. Rainich, Johns Hopkins University
7. Statistics as an aid in secondary school administration
   Miss Elizabeth W. Wilson, Central High School, Washington, DC
8. A special integrator
   Mr. H. A. Robinson, Johns Hopkins University
9. A substitution operator
   Professor John Tyler, U. S. Naval Academy
10. Three transcendental functions derived from difference equations and related to the gamma function
    Dr. 0. S. Adams, U. S. Coast and Geodetic Survey
11. A course in analytic geometry, special methods used
    Professor Katherine S. Arnold, Hood College
12. A problem in engine vibrations
    Professor R. E. Root, U. S. Naval Academy

Section Meeting 20: United States Naval Academy, December 4, 1926

1. The theorems of Menelaus and Ceva and their extension
   Dr. P. Wernicke, U. S. Patent Office, by invitation
2. Invariants under rotation
   Professor F. Morley, Johns Hopkins University
3. Numerical integration
   Assistant Professor L. M. Kells, United States Naval Academy
4. Modern navigation
   Commander A. M. R. Allen, United States Naval Academy, by invitation
5. The Byrd polar flight
   H. G. Avers, United States Coast and Geodetic Survey
6. A problem in maxima and minima
   Professor Paul Capron, United States Naval Academy
7. A monogram designed to simplify certain geodetic calculations
   H. S. Rappleye, United States Coast and Geodetic Survey, by invitation
8. Functions formed by continuous substitution
   Professor John Tyler, United States Naval Academy