Smithsonian miscellaneous collections . 22. 13 pp. (Publ. 2674.)Miller, Gerrit S., Jr. Remains of mammals from caves in the Republic of Haiti. October 16, 1922. 8 pp. (Publ. 2707.)Wetmore, Alexander. Remains of birds from caves in the Republic of Haiti. October 17, 1922. 4 pp. (Publ. 2708.)Explorations and Field-Work oe the Smithsonian Institu-tion IN 1922. April 30, 1923. 153 pp., 145 figs. (Publ. 2711.).Fewkes, J. Walter. Designs on prehistoric pottery from the Mimbres Valley, New Mexico. May 29, 1923. 47 pp., 140 figs. (Publ. 2713.)Abbot, C. G., Fowle, F. E., and Aldrich, L. B. The distribu
Smithsonian miscellaneous collections . 22. 13 pp. (Publ. 2674.)Miller, Gerrit S., Jr. Remains of mammals from caves in the Republic of Haiti. October 16, 1922. 8 pp. (Publ. 2707.)Wetmore, Alexander. Remains of birds from caves in the Republic of Haiti. October 17, 1922. 4 pp. (Publ. 2708.)Explorations and Field-Work oe the Smithsonian Institu-tion IN 1922. April 30, 1923. 153 pp., 145 figs. (Publ. 2711.).Fewkes, J. Walter. Designs on prehistoric pottery from the Mimbres Valley, New Mexico. May 29, 1923. 47 pp., 140 figs. (Publ. 2713.)Abbot, C. G., Fowle, F. E., and Aldrich, L. B. The distribution of energy in the spectra of the sun and stars. June 4, 1923. 30 ])p., 6 figs. (Publ. 2714.) (v) SMITHSONIAN MISCELLANEOUS COLLECTIONS Volume 74^ Number 1 SMITHSONIAN MATHEMATICAL FORMULAE AND TABLES OF ELLIPTIC FUNCTIONS Mathematical Formulae Prepared by EDWIN P. ADAMS, PROFESSOR OF PHYSICS, PRINCETON UNIVERSITY Tables of Elliptic Functions Prepared under the Direction ofSir George Greenhill, Bart. COL. R. L. HIPPISLEY, Publication 2672 CITY OF WASHINGTON PUBLISHED BY THE SMITHSONIAN INSTITUTION 1922 ADVERTISEMENT The Smithsonian Institution has maintained for many years a group ofpublications in the nature of handy books of information on geographical,meteorological, physical, and mathematical subjects. These include theSmithsonian Geographical Tables (third edition, reprint, 1918); the SmithsonianMeteorological Tables (fourth revised edition, 1918); the Smithsonian PhysicalTables (seventh revised edition, 1921); and the Smithsonian MathematicalTables: Hyperbolic Functions (second reprint, 1921). The present volume comprises the most important formulae of many branchesof applied mathematics, an illustrated discussion of the methods of mechanicalintegration, and tables of elliptic functions. The volume has been compiled byDr. E. P. Adams, of Princeton University. Prof. F. R. Moulton, of the Univer-sity of Chicago, contributed the section on numerical solution o
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