The Mathematical Gazette: Volume 2 - Issue 39

On the Representation of Imaginary Points by Real Points on a Plane
A. Lodge
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03 November 2016, pp. 277-279
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In plane coordinate geometry, with a system of rectangular axes, I wish to press the claim of points whose coordinates are given by complex numbers to be represented on the plane in just the same way as all other points in the plane.

An Elementary Introduction to the Infinitesimal Geometry of Surfaces
R. W. H. T. Hudson
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03 November 2016, pp. 279-282
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The purpose of the present note is to show how the student who is acquainted with the methods only of Using and transforming rectangular axes is already in a position to determine the geodesic curvature and torsion of any curve traced on a surface, and in particular to prove Gauss’ formula for the product of the principal curvatures in terms of the geodesic curvaturesof the lines of curvature.

Proofs that the Arithmetic Mean is Greater than the Geometric Mean
R. F. Muirhead
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03 November 2016, pp. 283-287
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What follows is a condensed statement and classification of various proofs of the above well-known theorem.
For two positive quantities, a and b, the proof may be put as follows:

124. [D. 2. b.] Addition Series.
W. H. Laverty
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03 November 2016, pp. 287-288
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125. [K. 20. d.] Approximation to tan A.
C. E. M‘Vicker
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03 November 2016, p. 288
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126. [V. a; K. 20. e.] Note on the Teaching of "Solution of Triangles" in Trigonometry.
G. H. Bryan
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03 November 2016, pp. 288-290
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Reviews - A Course of Modern Analysis. By E. T. Whittaker, M.A. Pp. xvi, 378. (Cambridge University Press. 1902.)
G. B. Mathews
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03 November 2016, pp. 290-292
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Practical Exercises in Geometry. By W. D. Eggar, M.B. Macmillan & Co. - A New Geometry for Beginners. By R. Roberts, B.Sc. Blackie & Son. - Geometry. By S. O. Andrew, M.A. John Murray. - Elements of Geometry. By R. Lachlan, Sc.D. and W. C. Fletcher, M.A. Edward Arnold. - Elementary Geometry. By W. M. Baker, M.A. and A. A. Bourne, M.A. G. Bell & Sons. - Plane Geometry. By T. Petch, B.A. Edward Arnold. - Theoretical Geometry for Beginners. By C. H. Allcock. Macmillan & Co.
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03 November 2016, pp. 292-293
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The Essentials of Plane and Solid Geometry, by Webster Wells, S.B. (D. C. Heath & Co., Boston.)
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03 November 2016, p. 293
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High School and Academic Algebra, by Louis Parker Jocelyn. (Butler, Sheldon & Co., New York.)
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03 November 2016, p. 293
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Advanced Algebra and Geometry, by William Briggs, LL.D., M.A. (W. B. Clive.)
Edward M. Langley
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03 November 2016, p. 293
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A Graphic Method for solving certain Questions in Arithmetic or Algebra, by G. L. Vose. 2nd Edition. Pp. 62. 1902. (Van Nostrand, New York.)
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03 November 2016, pp. 293-294
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Annuaire pour l’An 1903. Published by the Bureau of Longitudes. Pp. 668, 140. 1903. 1 fr. 50 c. (Gauthier-Villars.)
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03 November 2016, p. 294
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Récréations Arithmétiques, by E. Fourrey.2nd Edition 1901. (Nony.)
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03 November 2016, p. 294
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I. Tre Problemi Classici degli Antichi:—Prob. I. La Quadrature del Cerchio, by Prof. Bellino CaeearaS.J.Pp. 168. Reprinted from the Revista di Fisica, Matematica e Scienze Naturali. 1902. (Fusi, Pavia.)
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03 November 2016, p. 294
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The Schoolmasters’ Year Book and Directory. 1903. (Swan Sonnenschein.)
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03 November 2016, pp. 294-295
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A Treatise on Differential Equations. By A. R. Forsyth. Third Edition. Pp. 511. 14s. 1903. (Macmillan.)
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03 November 2016, p. 295
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Problems
Published online by Cambridge University Press:

03 November 2016, pp. 295-296
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Solutions
Published online by Cambridge University Press:

03 November 2016, pp. 296-299
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Column for “Queries,” “Sale and Exchange,” “Wanted,” etc.
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03 November 2016, p. 299
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The Mathematical Gazette

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Volume 2 - Issue 39 - May 1903

Research Article

On the Representation of Imaginary Points by Real Points on a Plane

An Elementary Introduction to the Infinitesimal Geometry of Surfaces

Proofs that the Arithmetic Mean is Greater than the Geometric Mean

Mathematical Notes

124. [D. 2. b.] Addition Series.

125. [K. 20. d.] Approximation to tan A.

126. [V. a; K. 20. e.] Note on the Teaching of "Solution of Triangles" in Trigonometry.

Reviews

Reviews - A Course of Modern Analysis. By E. T. Whittaker, M.A. Pp. xvi, 378. (Cambridge University Press. 1902.)

The Essentials of Plane and Solid Geometry, by Webster Wells, S.B. (D. C. Heath & Co., Boston.)

High School and Academic Algebra, by Louis Parker Jocelyn. (Butler, Sheldon & Co., New York.)

Advanced Algebra and Geometry, by William Briggs, LL.D., M.A. (W. B. Clive.)

A Graphic Method for solving certain Questions in Arithmetic or Algebra, by G. L. Vose. 2nd Edition. Pp. 62. 1902. (Van Nostrand, New York.)

Annuaire pour l’An 1903. Published by the Bureau of Longitudes. Pp. 668, 140. 1903. 1 fr. 50 c. (Gauthier-Villars.)

Récréations Arithmétiques, by E. Fourrey.2nd Edition 1901. (Nony.)

I. Tre Problemi Classici degli Antichi:—Prob. I. La Quadrature del Cerchio, by Prof. Bellino CaeearaS.J.Pp. 168. Reprinted from the Revista di Fisica, Matematica e Scienze Naturali. 1902. (Fusi, Pavia.)

The Schoolmasters’ Year Book and Directory. 1903. (Swan Sonnenschein.)

A Treatise on Differential Equations. By A. R. Forsyth. Third Edition. Pp. 511. 14s. 1903. (Macmillan.)

Other

Problems

Solutions

Column for “Queries,” “Sale and Exchange,” “Wanted,” etc.

The Mathematical Gazette

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Volume 2 - Issue 39 - May 1903

Research Article

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