The Mathematical Gazette: Volume 2 -

108. [D. 6. d.] Two Minor Complaints
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03 November 2016, pp. 188-189
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To Reach the Calculus as Early as Possible
G. H. Bryan
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03 November 2016, pp. 351-353
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In these days the student of applied science finds that he can make little progress till he has acquired a knowledge of the Calculus. If he cannot acquire this knowledge sufficiently soon in the mathematical class-room, his science teacher will have to do the work which ought to fall to the duty of the mathematician, and will at the same time be thereby debarred from devoting the time to other teaching which he would like to give.

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:

110. [L1. 3. a. ] Method of reducing Central Conics.
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03 November 2016, pp. 225-227
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L’Elimination. Par H. Laurent. Pp. 75. Scientia, Mars, 1900. Carré et Naud. Paris
T. J. I’a Bromwich
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03 November 2016, pp. 27-29
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Choice and Chance, with 1000 Exercises. By Prebendary W. A. Whitworth. Fifth Edition, much enlarged. Pp. viii., 342. 6s. 1901. (Deighton, Bell.)
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03 November 2016, p. 146
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105. [M1. 8.] The Equiangular Spiral
W. Gallatly
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03 November 2016, p. 159
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97. Trilinear Equation of a Circle of Curvature
R. F. Davis
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03 November 2016, pp. 72-73
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Die partiellen Differential-Gleichungen der mathematischen Physik. Nach Riemann’s Vorlesungen in vierter Auflage neu bearbeitet von Heinrich Weber. Zweiter Band. Pp. xii., 528 (Braunschweig: Vieweg u. Sohn, 1901).
G.B. Mathews
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03 November 2016, pp. 113-114
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A Treatise on Elementary Dynamics, dealing with relative motion mainly in two dimensions, by H. A. Roberts, M.A. Macmillan & Co., 1900, pp.xi. + 258. - The Student’s Dynamics, comprising Statics and Kinetics, by G. M. Minchin, M.A., F.R.S. George Bell & Sons, 1900, pp. xii. + 258. - Elementary Mechanics of Solids, by W. T. A. Emtage, M.A. Macmillan & Co., 1900, pp. viii. + 333.
W. H. Macaulay
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03 November 2016, pp. 5-8
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119. [I. 13. b. a ; 17. c]
W. A. Whitworth
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03 November 2016, pp. 242-243
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Theoretische Arithmetik. Von Dr. Otto Stolz und Dr. J. Gmeiner. I. Abtheilung. Pp. iv., 98 (Leipzig: Teubner, 1901).
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03 November 2016, p. 52
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128. [R. 6. b.] On Gauss’ Principle of Least Constraint and the Equations of Mechanics
Philip E. B. Jourdain
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03 November 2016, pp. 337-340
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The Theory of Equations, with an Introduction to the Theory of Binary Algebraic Forms. By W. Snow Burnside, M.A., D.Sc., and A. W. Panton, M.A., D.Sc. Fourth Edition. Vol. II, pp. xi. 292. (Dublin University Press, 1901).
E. B. E.
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03 November 2016, p. 91
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Extension of Huygens’ Approximation to a Circular arc
E. M. Milne
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03 November 2016, pp. 309-311
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Huygens’ approximation to the length of a circular arc is , where l0 is the chord of the arc and l1 is the chord of half the arc. This result is most easily obtained from the series for sin and sin by neglecting powers of beyond the third, L being the true length of the arc and R the radius of the circle. For arcs less than 45° Huygens’ rule is very accurate, the error for an arc of 30° being less than 1 in 300,000.

Calcul des Triquaternions: Thèse presentée à la faculté des Sciences de Paris pour obtenir le grade de Docteur ès Sciences Mathématiques, soutenue April 1902. By M. Gaston Combebiac, Capitaine du Génie. Paris: Gauthier-Villars.
C. J. Joly
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03 November 2016, pp. 202-204
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94. [K. 10. e.] The equation to the circumcircle of the triangle contained by three given straight lines
E. M. Radford
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03 November 2016, pp. 29-30
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Algebra for Junior Students. By Telford Varley. Pp. viii., 152. 1s. 1901. (Allman.)
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03 November 2016, p. 146
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109. [D. 6. d.] Mnemonic for hyperbolic formulae
G. Osborn
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03 November 2016, p. 189
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On Marking Euclid Papers
C. S. J.
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03 November 2016, p. 8
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