The Mathematical Gazette: Volume 13 -

On the Approximation to Irrational Numbers By Rationals
A.C. Heath
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03 November 2016, pp. 362-366
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The problem of deciding whether a given number is irrational or not is frequently one of some difficulty, as in the proof that π is irrational. Several numbers which are very probably irrational have never been proved so, e.g. y, eπ. However, we have one quite simple test for deciding whether a number is irrational or not when we have the number expressed as a continued fraction, viz. if the continued fraction terminates, the number is rational; if not, irrational. In what follows we assume our irrational number given as a continued fraction :
or shortly

842. [U.] Caveant Emptores
E. H. N.
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03 November 2016, pp. 162-163
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856. [A. 1. b.] Proof of the theorem that the A.M. of n quantities exceeds their G.M.
Carr Arthur J.
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03 November 2016, pp. 244-245
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Elements of the Mathematical Theory of Limits. By J. G. Leathem. Pp. viii + 288. 14s. 1926. (G. Bell & Sons.)
G. N. W.
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03 November 2016, pp. 287-288
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878. [L1. 1.] Elements at Infinity
H. V. Mallison
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03 November 2016, pp. 421-422
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Elementary Algebra. Part II. By F. Bowman. Pp. 431. 6s. (Longmans, Green.)
A. R.
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03 November 2016, p. 460
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Difference Equations
N. M. Gibbins
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03 November 2016, p. 202
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The Reduction of the Equation of a Central Conic to its Simplest Form
M. J. M. Hill
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03 November 2016, p. 123
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School Geometries in General and in Particular - (I.)The New Matriculation Geometry. By A. G. Cracknell and G. F. Perrott. Pp. X+303. 4s. 4d. 1925. (University Tutorial Press.) - (II.)A School Geometry on “New Sequence” Lines. By W. M. Baker and A. A. Bourne. Pp. viii+307. 4s. 6d. Bks. I. to III., 2s. 6d.; Bks. I. to V., 4s. 1925. (G. Bell & Sons.)
C. O. Tuckey
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03 November 2016, pp. 89-90
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Vorlesungen über höhere Geometrie. By Felix Klein. 3rd edition. Edited by W. Blaschke. (Grundlehren der Mathematischen Wissenschaften, Bd. xxii.) Pp. vii+ 405. 24 marks. 1926. (Springer.)
F. P. W.
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03 November 2016, pp. 398-399
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866. [V. 1. a. λ.] A Graphical Introduction to Logarithms
H. Peat
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03 November 2016, pp. 332-333
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870. [X. 4, b. α.] The Graphical Solution of Quadratic Equations
A. Lodge
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03 November 2016, p. 367
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Vectorial Mechanics. By L. Silberstein. 2nd edition. Pp. x + 205. 10s. 1926. (Macmillan.)
E. H. N.
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03 November 2016, p. 90
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Suggested by:—HP, PS are chords of a circle. Required to construct in the circle a quadrilateral such that HP, PS, being two of the sides, a circle can be inscribed in it
T. M. A. Cooper
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03 November 2016, p. 124
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857. [L1. 9. d.] Note on Expression for Arc of Ellipse
V. Naylor
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03 November 2016, pp. 245-247
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The Evolution of Man Mathematically Disproved. By the Rev. William A. Williams, D.D. Pp. 125 + hymn and index. Price $1.00, mailed to all countries; two copies for $1.00 to all who will become agents at 50 per cent, commission. 1925. (Published by the author at 1202 Atlantic Avenue, Camden, New Jersey, U.S.A.)
W. Hope-Jones
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03 November 2016, p. 460
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Modern Algebraic Theories. By L. E. Dickson, Ph.D. Pp. 273, with Index. 15s. 1926. (Sanborn & Co., Chicago.)
H. W. Turnbull
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03 November 2016, pp. 288-289
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Mathematical and Physical Papers, 1903-1913. By Benjamin Osgood Peirce. 1926. (Harvard University Press.)
W. Sucksmith
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03 November 2016, p. 399
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819. [V. l. a. α.] Suggestion for first lessons on Calculus
N. M. Gibbins
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03 November 2016, p. 24
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867. [K1. 7. e.] Distance-Relations in an Involution Range
E. H. Smart
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03 November 2016, p. 333
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The Mathematical Gazette

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Volume 13 - March 1927

Research Article

On the Approximation to Irrational Numbers By Rationals

Mathematical Notes

842. [U.] Caveant Emptores

856. [A. 1. b.] Proof of the theorem that the A.M. of n quantities exceeds their G.M.

Reviews

Elements of the Mathematical Theory of Limits. By J. G. Leathem. Pp. viii + 288. 14s. 1926. (G. Bell & Sons.)

Mathematical Notes

878. [L1. 1.] Elements at Infinity

Reviews

Elementary Algebra. Part II. By F. Bowman. Pp. 431. 6s. (Longmans, Green.)

Mathematical Notes

Difference Equations

The Reduction of the Equation of a Central Conic to its Simplest Form

Reviews

Vorlesungen über höhere Geometrie. By Felix Klein. 3rd edition. Edited by W. Blaschke. (Grundlehren der Mathematischen Wissenschaften, Bd. xxii.) Pp. vii+ 405. 24 marks. 1926. (Springer.)

Mathematical Notes

866. [V. 1. a. λ.] A Graphical Introduction to Logarithms

Mathematical Note

870. [X. 4, b. α.] The Graphical Solution of Quadratic Equations

Reviews

Vectorial Mechanics. By L. Silberstein. 2nd edition. Pp. x + 205. 10s. 1926. (Macmillan.)

Mathematical Notes

Suggested by:—HP, PS are chords of a circle. Required to construct in the circle a quadrilateral such that HP, PS, being two of the sides, a circle can be inscribed in it

857. [L1. 9. d.] Note on Expression for Arc of Ellipse

Reviews

Modern Algebraic Theories. By L. E. Dickson, Ph.D. Pp. 273, with Index. 15s. 1926. (Sanborn & Co., Chicago.)

Mathematical and Physical Papers, 1903-1913. By Benjamin Osgood Peirce. 1926. (Harvard University Press.)

Mathematical Notes

819. [V. l. a. α.] Suggestion for first lessons on Calculus

867. [K1. 7. e.] Distance-Relations in an Involution Range

The Mathematical Gazette

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Volume 13 - March 1927

Research Article

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Reviews

Mathematical Notes

Reviews

Mathematical Notes

Reviews

Mathematical Notes

Mathematical Note

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Mathematical Notes

Reviews

Mathematical Notes