By D. A. MURRAY, Ph.D. FORMERLY INSTRUCTOR IN MATHEMATICS IN CORNELL UNIVERSITY; PROFESSOR OF MATHEMATICS IN DALHOUSIE COLLEGE, HALIFAX, N.S. INTRODUCTORY COURSE IN DIFFERENTIAL EQUATIONS, FOR STUDENTS IN CLASSICAL AND ENGINEERING COLLEGES. Pp. xvi +236. A FIRST COURSE IN INFINITESIMAL CALCULUS. Pp. xvii +439. PLANE TRIGONOMETRY, FOR COLLEGES AND SECONDARY SCHOOLS. With a Protractor. Pp. xiii +212. SPHERICAL TRIGONOMETRY, FOR COLLEGES AND SECONDARY SCHOOLS. Pp. x + 114. PLANE AND SPHERICAL TRIGONOMETRY. In One Volume. With a Protractor. Pp. 349. PLANE AND SPHERICAL TRIGONOMETRY AND TABLES. In One Volume. Pp. 448. PLANE TRIGONOMETRY AND TABLES. In One Vol ume. With a Protractor. Pp. 324. LOGARITHMIC AND TRIGONOMETRIC TABLES. FIVEPLACE AND FOUR-PLACE. Pp. 99. NEW YORK: LONGMANS, GREEN, & CO. SPHERICAL TRIGONOMETRY FOR COLLEGES AND SECONDARY SCHOOLS BY DANIEL A. MURRAY, PH.D. (JOHNS HOPKINS) PROFESSOR OF MATHEMATICS IN DALHOUSIE COLLEGE, LONGMANS, GREEN, AND CO. 91 AND 93 FIFTH AVENUE, NEW YORK LONDON, BOMBAY, AND CALCUTTA UNIVERSITY COPYRIGHT, 1900, BY ALL RIGHTS RESERVED. FIRST EDITION, JUNE, 1900. REPRINTED, SEPTEMBER, 1900; JULY, 1902; AUGUST, 1903; PREFACE. THIS book contains little more than what is required for the solution of spherical triangles and related simple practical problems. The articles on spherical geometry are necessary for those who have not already studied that subject; for others, they provide a useful review. More than usual attention has been given to the measurement of solid angles. The explanations in connection with the astronomical problems are somewhat fuller than is customary in elementary text-books on spherical trigonometry. I am indebted to Mr. W. B. Fite, Ph.B., Fellow in Mathematics at Cornell University, for his kind assistance in reading the proof-sheets; and to Mr. A. T. Bruegel, M.M.E., of the Pratt Institute, Brooklyn, N.Y., for the pleasing character of the diagrams. CORNELL UNIVERSITY, V D. A. MURRAY. |