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Mathematical Notes
108. [D. 6. d.] Two Minor Complaints
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- 03 November 2016, pp. 188-189
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Research Article
To Reach the Calculus as Early as Possible
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- 03 November 2016, pp. 351-353
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Proofs that the Arithmetic Mean is Greater than the Geometric Mean
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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:
Reviews and Notices
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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Mathematical Notes
110. [L1. 3. a. ] Method of reducing Central Conics.
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- 03 November 2016, pp. 225-227
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Reviews
L’Elimination. Par H. Laurent. Pp. 75. Scientia, Mars, 1900. Carré et Naud. Paris
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- 03 November 2016, pp. 27-29
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Mathematical Notes
105. [M1. 8.] The Equiangular Spiral
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- 03 November 2016, p. 159
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Reviews and Notices
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).
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- 03 November 2016, pp. 113-114
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Mathematical Notes
97. Trilinear Equation of a Circle of Curvature
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- 03 November 2016, pp. 72-73
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Reviews and Notices
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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Mathematical Note
119. [I. 13. b. a ; 17. c]
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- 03 November 2016, pp. 242-243
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Reviews
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.
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- 03 November 2016, pp. 5-8
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Mathematical Notes
128. [R. 6. b.] On Gauss’ Principle of Least Constraint and the Equations of Mechanics
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- 03 November 2016, pp. 337-340
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Reviews
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).
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- 03 November 2016, p. 91
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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.
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- 03 November 2016, pp. 202-204
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Other
Extension of Huygens’ Approximation to a Circular arc
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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.
, where 
and sin 
by neglecting powers of 
beyond the third, Mathematical Note
94. [K. 10. e.] The equation to the circumcircle of the triangle contained by three given straight lines
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- 03 November 2016, pp. 29-30
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Reviews and Notices
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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Other
On Marking Euclid Papers
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- 03 November 2016, p. 8
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Mathematical Notes
109. [D. 6. d.] Mnemonic for hyperbolic formulae
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- 03 November 2016, p. 189
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