(1) The Public School Geometry (2) The Student's Matriculation Geometry (3) First Stage Mathematics (4) Second Stage Mathematics (with Modern Geometry) (5) Conic Sections (6) Public School Arithmetic (7) A School Algebra (8) Elements of Algebra (9) The Theory of Elementary Trigonometry

Abstract

(1)FREE use is made in this volume of inductive methods in establishing the fundamental facts of geometry—the conditions for congruency and parallelism. The opening chapters deal with the measurement of lines and angles and with a few simple constructions. Then follow the elementary properties of the triangle and parallelogram, the usual theorems on inequalities, and a short account of areas. The principles of similar figures are then discussed, and are employed to prove Pythagoras's theorem. And the book closes with the angle and metrical properties of the circle. The author has succeeded in giving in a very concise form a useful summary of the subject-matter of the first six books of Euclid. We regret the introduction of two new terms—new at least so far as elementary text-books are concerned—the use of the word “stretch” for a segment of a straight line, and of the word “cognate” for “corresponding”; while the definition of π on p. 16 is not merely misleading but is incorrect. It is most important that the student should understand that, π is a pure number and not an angle. There are a very large number of numerical examples, but most teachers will consider the supply of riders inadequate.

(1) The Public School Geometry.

By F. J. W. Whipple. Pp. xii+154. (London: J. M. Dent and Sons, Ltd., 1910.) Price 2s. 6d. net.

(2) The Student's Matriculation Geometry.

By S. Gangopádhyáya. Second edition, revised and improved. Pp. xviii + 348, (Calcutta: The Students' Library, n.d.) Price 1.4 rupees.

(3) First Stage Mathematics.

Edited by W. Briggs. Pp. vii + 194. (London: W. B. Clive, 1910.) Price 2s.

(4) Second Stage Mathematics (with Modern Geometry).

Edited by W. Briggs. Pp. viii + 128 + 102 + 186 + 14 (answers) + 21 (exam. papers). (London: W. B. Clive, 1910.) Price 3s. 6d.

(5) Conic Sections.

By S. Gangopádhyáya. Pp. viii + 97. (Calcutta: The Students' Library, 1909.) Price 8 annas.

(6) Public School Arithmetic.

By W. M. Baker A. A. Bourne. Pp. xii + 386 + 2. (London: G. Bell and Sons, Ltd., 1910.) Price, with answers, 4s. 6d., without answers, 3s. 6d.

(7) A School Algebra.

By H. S. Hall. Part I. Pp. xi + 299 + xxxvii. (London: Macmillan and Co., Ltd., 1910.) Price 2s. 6d.

(8) Elements of Algebra.

By A. Schultze. Pp. xii + 309. (New York: The Macmillan Company; London: Macmillan and Co., Ltd., 1910.) Price 4s. 6d.

(9) The Theory of Elementary Trigonometry.

By Prof. D. K. Picken. Pp. vii + 48. (Wellington, N.Z., and London: Whitcombe and Tombs, Ltd., 1910.) Price 2s. 6d. net.