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. |
| L1. | Conics. |
| L2. | Quadrics. |
| M1. | Algebraical Plane Curves. |
| M2. | Algebraical Surfaces. |
| M3. | 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 |
| L1 1.; L2. 1. | On the treatment of Conics and Conicoids by Pure Geometry. | C. A. Rumsey. | 356 |
| M1. 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 | 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 |
| L1. 1. a. | 123 | Notes on the Parabola. | R. F. Davis. | 262 |
| L1. 3. a. | 118 | Method of Reducing Central Conics. | E. L. Bulmer. | 226 |
| L1. 3. a. | 134 | Note on Parabola. | R. F. Davis. | 361 |
| L1. 6. c. | 97 | Trilinear Equation of the Circle of Curvature. | R. F. Davis. | 72 |
| L1. 7. a. | 101 | Foci of in-Conic. | R. F. Davis. | 97 |
| L1. 11. | 98 | Trilinear Conditions for Rect- angular Hyperbola. | R. F. Davis. | 73 |
| L1. 11. a. | 113 | The Asymptotes and Tangents of the Rectangular Hyper- bola. | R. F. Davis. | 192 |
| L1. 12. a. | 121 | Isogonal Transformation. | H. L. Trachtenburg. | 261 |
| M1. 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