The following Index is arranged according to subjects on the plan of the *Index du Repertoire Bibliographique* (published by MM. Gauthier-Villars, pp. 93, 2nd edition, 1898; about 2/-).

**EXPLANATORY REMARKS.**

It is not possible to give in full the subjects under the thousand or so sub-divisions which appear in the Index; but for the sake of those who do not possess the Index we give the subjects under the principal letters. This will amply suffice for the majority of our readers.

A. | Algebra; Theory of Equations. |

B. | Determinants; Linear substitutions; Elimination; Invariants and Covariants; Complex Quantities. |

C. | Differential and Integral Calculus. |

D. | Theory of Functions; Algebra of Continued Fractions. |

E. | Definite Integrals. . . . |

F. | Elliptic Functions. . . . |

G. | Hyperelliptic Functions. . . . |

H. | Differential Equations . . . Finite Differences, Recurrent Series. |

I. | Arithmetic. Theory of Numbers. |

J. | Permutations and Combinations ; Probabilities ; Calculus of Variations. . . . |

K. | Elementary Geometry and Trigonometry; Geometry of point, line, plane, circle, and sphere ; Perspective ; Descriptive Geometry. |

L^{1}.
| Conics. |

L^{2}.
| Quadrics. |

M^{1}.
| Algebraical Plane Curves. |

M^{2}.
| Algebraical Surfaces. |

M^{3}.
| Algebraical Space Curves. |

N. | Complexes and Congruences; Connexes; Systems of curves and surfaces; Enumerative Geometry. |

O. | Infinitesimal and Kinematic Geometry. |

P. | Transformations; Homography; Homology; Polar Reciprocals. |

Q. | Geometry of dimensions ; non Euclidean. . . . |

R. | Kinematics; Statics; Dynamics. |

S. | Hydrostatics. |

T. | Mathematical Physics. |

U. | Astronomy. |

V. | Philosophy and History of Mathematics. Biography. |

X. | Graphic Calculation. |

INDEX

TO THE

MATHEMATICAL GAZETTE

VOLUME 2

No. | No. | |||||

25 | January 1901 | pp. 1-24 | 35 | October 1902 | pp. 197-220 | |

26 | March 1901 | pp. 25-44 | 36 | December 1902 | pp. 221-236 | |

27 | May 1901 | pp. 45-64 | 37 | January 1903 | pp. 237-252 | |

28 | July 1901 | pp. 65-80 | 38 | March 1903 | pp. 253-276 | |

29 | October 1901 | pp. 80-104 | 39 | May 1903 | pp. 277-300 | |

30 | December 1901 | pp. 105-128 | 40 | May 1903 | pp. 301-324 | |

31 | January 1902 | pp. 129-148 | 41 | October 1903 | pp. 325-348 | |

32 | March 1902 | pp. 149-164 | 42 | December 1903 | pp. 349-372 | |

33 | May 1902 | pp. 165-180 | 43 | January 1904 | pp. 373-396 | |

34 | July 1902 | pp. 181-196 |

**ARTICLES, ETC.**

TYPE | TITLE | AUTHOR | PAGE |

A.1. | A Chapter on Algebra. | W. N. Roseveare. | 301, 325 |

A. 1. b. | Proofs that the Arithmetic Mean is greater than the Geometric Mean. | R. F. Muirhead. | 283 |

A. 3. k. | Note on the Solution of Cubic and Bi-quadratic Equations. | J. Brill. | 3 |

B. 3. d. | Two Illustrations of Elimination. | R. F. Davis. | 1 |

B. 12. a. | On the Representation of Imaginary Points by Real Points on a Plane. | A. Lodge. | 277, 373 |

J. 4. | Some Applications of the Theory of Assemblages. | Arnold Emch. | 173 |

K. 6. a. | Areal Coordinates. | G. D. Muggeridge. | 45, 65 |

K. 6. a. | Notes on Conics and Areals. | T. J. I'a Bromwich. | 175 |

K. 6. a. | Tripolar Coordinates. | G. N. Bates. | 183 |

K. 6. a. | Tangential Coordinates, The use of. | R. W. H. T. Hudson. | 355 |

K. 13. c. | The Trigonometry of the Tetra- hedron. | G. Richardson. | 149 |

K. 20. | Extension of Huygens' Approxima- tion to a Circular Arc. | R. M. Milne. | 309 |

L^{1} 1.; L^{2}. 1.
| On the treatment of Conics and Conicoids by Pure Geometry. | C. A. Rumsey. | 356 |

M^{1}. I. b.
| Note on the Bitangents of a Plane Curve. | A. P. Thompson. | 307 |

O.1 | An Elementary Introduction to the Infinitesimal Geometry of Sur- faces. | R. W. H. T. Hudson | 279 |

Q. d. | Geometry in Flatland. | A. C. Dixon. | 241 |

R. 2. d. | On a Geometrieo-Statical Theorem. | Sir Robert S. Ball. | 26 |

V. a. | The New Education Section of the British Association. | R. F. Muirhead. | 83 |

V. a. | The Teaching of Mathematics. | E. M. Langley; C. Godfrey; A. W. Siddons. | 105 |

V. a. | Annual Meeting, 1902. Discussion on Reform in Teaching of Mathe- matics. | 129 | |

V. a. | The Public Schools and Reform in the Teaching of Mathematics. | (By 22 Masters in Public Schools.) | 143 |

V. a. | The Teaching of Euclid. | The Hon. Bertrand Russell | 165 |

V. a. | Report of Committee on Geometry. | 168 | |

V. a. | Report of Committee on Arithmetic and Algebra. | 181 | |

V. a. | Report of British Association Com- mittee on the Teaching of Mathe- matics. | 197 | |

V. a. | The Report of the Committee on the Teaching of Geometry, and In- commensurables. | M. J. M. Hill. | 253 |

V. a. | The Annual Meeting, 1903. | 259 | |

V. a. | The Committee on the Teaching of Mechanics. | 349 | |

V. a. | Draft Suggestions of the Sub- Committee on the Teaching of Mechanics. | 380 | |

V. a. | Letter of the Committee to Head Masters and Senior Mathematical Masters of Schools. | 349 | |

V. a. | To reach the Calculus as early as possible. | G. H. Bryan. | 351 |

X. 5. | The Slide Rule. | F. R. Barrell. | 83; cf. 128 |

X. 5. | The Slide Rule. | C. S. Jackson. | 330; 337 |

X. 5. | Verniers, General Theory of. | P. J. Heawood. | 221, 237 |

**MATHEMATICAL NOTES.**

No. | SUBJECT. | AUTHOR. | PAGE. | |

D. 2. b. | 96 | On the Convergency of the Geometric Series. | R. W. H. T. Hudson. | 60 |

A. 1. b. | 130 | Note on Roseveare's "Chapter on Algebra." | R. F. Muirhead. | 340 |

A. 1. c. | 111 | Note on the Multinomial Theo- rem. | G. Osborn. | 189 |

C. 1. a. | 106 | On the Permutability of Inde- pendent Differentiations. | A. C. Dixon. | 159 |

D. 1. b. | 133 | A Series Rapidly Converging. | G. N. Watson. | 361 |

D. 2. a. b. | 135 | Riemann's semi-convergent series theorem, Proof of. | H. L. Trachtenburg. | 361 |

D. 2. b. | 124 | Addition Series. | W. H. Laverty. | 287 |

D. 2. d. a.
| 95 | Periodic Continued Fractions. | T. Muir. | 58 |

D. 6. b. | 103 | Note on the Logarithmic Series. | A. C. Dixon. | 113 |

D. 6. d. ; X. 2. | 108 | Two Minor Complaints. | C. S. Jackson. | 188 |

D. 6. d. | 109 | Mnemonic for Hyperbolic Formulae. | G. Osborn. | 189 |

D. 6. d. | 114 | On Complaints (cf. Note 108). | R. F. Muirhead. | 201 |

D. 6. d. | 114 | On Complaints (cf. Note 108). | R. B. Hayward. | 201 |

E. 1. a. | 127 | Elementary Treatment for Gamma Functions. | G. Osborn. | 311 |

I. 13. b. a; 17. c. | 119 | Rule for finding the number of quarts not greater than a given number | Whitworth. | 243 |

I. 25. | 131 | A Paradox. | C. S. Jackson. | 360 |

J. 1. a. | 115 | A Problem in Arrangements. | Prebendary Whit- worth and W. E. Hartley. | 227 |

K. | 93 | On Measure as a Definition of Ratio. | E. Budden. | 10, v. p. 30. |

K. 1. b. | 100 | The Equal Bisector Theorem. | R. B. Hayward. | 74 |

K. 2. b. c. | 138 | Feuerbach's Theorem. | W. F. Beard. | 362 |

K. 4. | 137 | Philo's Line. | R. Chartres. | 362 |

K. 6. a. | 110 | Length of join of , in Trilinears. | Knox, Ma. | 189 |

K. 6. a. | 117 | Trilinear Notes. | R. F. Davis. | 225 |

K. 8. f. | 136 | The maximum quadrilateral with given sides. | R. Chartres. | 362 |

K. 10. e. | 94 | The circum-circle of the tri- angle whose sides are | E. M. Radford. | 29 |

K. 11. b. | 102 | The circles of similitude of the in- and ex- circles of a triangle. | R. W. Chapman. | 97 |

K. 11. b. | 102 | (Notes by R. F. Davis.) | 99 | |

K. 13. a. | 92 | Solution of Problem 372, and notes suggested thereby. | T. J. I'a Bromwich. | 9 |

K. 17. b. | 141 | Some Simple Problems in Astronomy. | H. Hilton. | 384 |

K. 20. d. | 125 | Approximation to . | C. E. M'Vicker. | 288 |

K. 20. e. ; 4. | 104 | On the construction of a tri- angle, given : : . | R. F. Davis. | 159 |

K. 20. e. | 112 | Note on Problem 391. | F. G. Taylor. | 191 |

K. 20. e. | 126 | On the Solution of Triangles. | G. H. Bryan. | 288 |

K. 20. e. | 129 | Two Trigonometrical Notes. | R. F. Muirhead. | 340 |

K. 20. f. | 122 | Formulae of Spherical Trigon- ometry. | C. S. Jackson. | 261 |

L^{1}. 1. a.
| 123 | Notes on the Parabola. | R. F. Davis. | 262 |

L^{1}. 3. a.
| 118 | Method of Reducing Central Conics. | E. L. Bulmer. | 226 |

L^{1}. 3. a.
| 134 | Note on Parabola. | R. F. Davis. | 361 |

L^{1}. 6. c.
| 97 | Trilinear Equation of the Circle of Curvature. | R. F. Davis. | 72 |

L^{1}. 7. a.
| 101 | Foci of in-Conic. | R. F. Davis. | 97 |

L^{1}. 11.
| 98 | Trilinear Conditions for Rect- angular Hyperbola. | R. F. Davis. | 73 |

L^{1}. 11. a.
| 113 | The Asymptotes and Tangents of the Rectangular Hyper- bola. | R. F. Davis. | 192 |

L^{1}. 12. a.
| 121 | Isogonal Transformation. | H. L. Trachtenburg. | 261 |

M^{1}. 8.
| 105 | The Equiangular Spiral. | W. Gallatly. | 159 |

P. 2. a. | 99 | Extension of Problem 394. | A. P. Thompson. | 74 |

P. 3. b. | 139 | Geometrical Note on Inversion. | R. F. Davis. | 383 |

R. 6. b. | 128 | Gauss' Principle of Least Con-straint. | P. E. B. Jourdain. | 337 |

R. 8. | 132 | Diagrams and Bending Mo-ments. | C. S. Jackson. | 360 |

V. 1. a. | 120 | On the teaching of Arithmetic. | G. H. Bryan. | 260 |

V. 1. a. | 126 | On the Solution of Triangles. | G. H. Bryan. | 288 |

V. 1. a. | 140 | On Decimalisation of Money. | W. O. Hemming. | 383 |

X. 4. b. a. | 116 | The Graphical Solution of Quadratics. | A. E. Wynne. | 228 |

[By an inadvertency, no Note was numbered 107 J

**CORRESPONDENCE.**

K. | On the Ratio of Incommensurables. | M. J. M. Hill. | 30 |

V. | On the Marking of Euclid Papers. | C. S. Jackson. | 8 |

V. | On the Marking of Euclid Papers. | A. W. Siddons. | 58 |

V. | The Education Section of the British Association. | W. M. Heller. | 371 |

V. | The Teaching of Geometry. | M. E. Boole. | 180 |

V. | The London Mathematical Society. | G. H. Bryan. | 396 |

Also included

**REVIEWS AND NOTICES**

**MISCELLANEA**

**PROBLEMS AND SOLUTIONS**