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 1

 

No. 7,[*] APRIL, 1896--No. 24, DECEMBER, 1900

No. No.
7 April 1896 pp. 1-24 16 February 1899 pp. 225-248
8 July 1896 pp. 25-48 17 June 1899 pp. 249-272
9 October 1896 pp. 49-72 18 October 1899 pp. 273-306
10 February 1897 pp. 73-96 19 February 1900 pp. 307-322
11 June 1897 pp. 97-120 20 March 1900 pp. 323-338
12 October 1897 pp. 121-144 21 May 1900 pp. 339-362
13 February 1898 pp. 145-176 22 July 1900 pp. 363-378
14 June 1898 pp. 177-200 23 October 1900 pp. 379-398
15 October 1898 pp. 201-224 24 December 1900 pp. 399-422

 

1. Articles and Notes.

2. Reviews and Short Notices of Books.

3. Solutions and Problems.

 

ARTICLES AND MATHEMATICAL NOTES

 

TYPE SUBJECT AUTHOR PAGE
A.1. Note on Division. Genese. 82
A.1. Simplification of
Langley. 129
A.1.a. Annuities. Bryan. 8
A.1.a. Annuities. Loney. 38
A.1.a. Product of Algebraical Expressions. J. Elliott. 187
A.2,a.;
L1.10.a. Porismatic Equations. Davis. 252, 273
A.2.a.;
L1.14.a. Example of Trigonometrical Porisms. Bromwich. 331
A.3.k. Roots of a Cubic. Vyvyan. 39
B.1.a. On the fundamental propositions connected
with the vanishing of a Determinant. 		Heawood. 344
C.1.a. Differentiation of Inverse Functions. Wheatley. 83
D.6.a. A Class of Algebraical Functions. Tanner. 152
D.6.a. Note on Prof. Tanner's Article. Genese. 184
D.6.c.g. expressed as an infinite product. A. C. Dixon. 130
E.1.a. as A. C. Dixon. 189
I.1. Some Curiosities in Division. Langley. 205, 275
I.1. Criteria of Divisibility. Greenstreet. 186
I.4.b. Integral Solutions of . Besant. 130
I.23.a. Continued Fractions. Steggall. 39
I.23.a. Continued Fractions. F. S. Macaulay. 39
J.1.d. Cumulative Voting. Langley. 160
K On the Geometric Method. Larmor. 1
K.1.b. Equality of Internal Bisectors. Davis. 412
K.1.b. On a problem in maxima and minima. Greenstreet. 161
K.1.a. Locus of a point subject to certain Anon. 64
conditions.
K.2.a. Note on Simson Line. Greenstreet. 158
K.2.b. Continuous Transformation. Billups. 177
K.2.d. Feuerbach's Theorem. M'Vicker. 257
K.5.a.;23. Note on question 309. J. F. Hudson. 320
K.5.d. On a problem in maxima and minima. Greenstreet. 161
K.6.a. Notes on the straight line. Lodge. 158
K.8.a. A property of two triangles; extension F. S. Macauly. 177
to quadrilaterals.
K.8.a. Collinearity of midpoints of diagonals Daniels. 160
of complete quadrilateral.
K.9.a. Extension of Euclid I. 47 to polygons Aiyar. 109
K.9.b. Notes on Euclid IV., 12-14. Tucker. 184
K.10. On a statement in Salmon's Conics. Genese. 319
K.10.b. Pole and polar properties in the circle. Budden. 86
K.11.c. Poncelet's Polygons and Weill's
Theorem. 		A. C. Dixon. 121
K.11.c. Proofsof Euclid XIII. 10, Langley. 320
K.12.b.a. Circles touching three tangential circles Barisien. 279
K.13.a. On question 372, p. 371. Bromwich. 393
K.14.c.a. On some semi-regular solids. Hayward. 73
K.14.d. Volume of a pyramid. Lodge. 64
K.16.a. Spherical Geometry. Lodge. 97
K.17.e. On question 90, p. 16. Palmer. 214
K.20. Trigonometrical Inequalities. Fenwick. 107
K.20. Trigonometrical Inequalities. Wilkinson. 394
K.20.a. Circular Measure. A. C. Dixon. 188
K.20.d. Geometrical Proofs of Trigonometrical
Formulae. 		Hooker. 393
K.20.d. " Johnston. 393
K.20.d. " Thomas. 412
K.20.e. Geometrical Proof of Statical Theorem. Davis. 257
K.20.f. Two formulae in Spherical Trigonometry. Davis. 40
K.20.f. A formula in Spherical Trigonometry. Hartley. 413
K.20.f. Theorems in Spherical Trigonometry. Heppel. 40
K..20.f. On question 90, p. 16. Palmer. 231
K.21.b. Trisection of an angle. Beard and Durell. 232
L1.7.d. On note 79, p. 337. Rouse. 371
L1.7.d. Trilinear coordinates of the Focoids. Davis. 336
L1.7.d. On a locus. Dyer. 413
L1.9.b. A Theorem of Isoperimetric Loops. M'Vicker. 228
L1.10.d. Equation of Directrix of a Parabola. Tucker. 110
L1.10.d. Note on Parabola. Davis. 371
L1.12.c. The conic determined by five points. F. S. Macaulay. 12
L1.12.c. The conic through any five points. Budden. 145
L1.14.a. Triangles circuminscribed to parabola
and conic. 		F. S. Macaulay. 211
L1.16.a. Locus of centres of in-conics of a
quadrilateral. 		Daniels. 161
L1.17.a. Parabola through four concyclic points. Davis. 213
L1.17.d. Poncelet's Polygons and Weill's
Theorem. 		A. C. Dixon. 121
L2.2.b. A note on the Sphero-Conic. Morley. 249
L2.21.d. A note on the Cylindroid. Davis. 370
M1.2.a.a. Involution Ranges. Budden. 86
M1.3.d. Chords and Tangents to Algebraic
Curves. 		Genese. 110
M1.3.h. Asymptotes in polar coordinates. Gerrans. 279
M4.e. On question 172, p. 89. Lodge. 213
M4.e. On question 172, p. 89. F. S. Macaulay. 214
O.1 Application to Conics of a theorem in
Infinitesimals. 		M'Vicker. 209
P.3.b. Spherical Geometry. Lodge. 97
P.3.b. Theorems connected with Inversion. M'Vicker. 276
P.3.c. A Transformation in Elementary
Geometry. 		M'Vicker. 190
Q.1.d. John Bolyai's Science Absolute of Space. F. S. Macaulay. 25, 49
Q.1.d. Cayley's Theory of the Absolute. F. S. Macaulay. 155
Q.1.d. On von Staudt's Geometrie der Lage. C. A. Scott. 307,
323, 363
R.1. Notes on Elementary Dynamics. Muirhead. 32, 60, 78
123, 180
R.1. A Chapter in Elementary Dynamics. Dobbs. 201
R.1. Chords of Descent. Roberts. 212
R.1. Uniformly Accelerated Motion. Roberts. 225
R.1. On the expression 'Motion at an Instant.' Saunder. 250
R.1.a. Proof of . E. T. Dixon. 81
R.1.a. Proof of . Muirhead. 106
R.1.a. K. E. of harmonically vibrating particle. Herschkowitz. 108
R.4.a. Theorem in Moments. Langley. 83
R.4.a. Theorem in Moments. Roberts. 130
R.4.d. On quadrilaterals connected with four
coplanar forces in equilibrium. 		Heawood. 319, 371
R.6. The Laws of Dynamics. W. H. Macaulay. 379, 399
V. Continuous Transformation. Mackay, Muirhead. 209
V.1.a. On the teaching of Indices and Surds. Genese. 339
PROBLEM TYPE SOLUTION 73 R.9.b. 45
NUMBER ON PAGE 74 A.3.k. 45
18 K.20.e. 17 76 L1.17.a. 46
19 K.12.a. 414 77 A.1.b.; B.1.a. 46
20 K.4.c. 17 79 A.2.b.; D.2.d. 46
21 K.4.c. 415 80 A.2.b. 417
22 R.4.a. 17 84 A.1.a. 46, 68, 90
23 K.20.f. 415 85 A.1.a. 47
24 K.1.c. 415 86 L1.8.a. 47
25 R.4.a. 416 88 I.1.; I.19.a. 47
26 K.1.c. 17 89 K.20.c.a. 48
27 I.1. 416 91 A.1.b. 68
29 K.9.b. 416 94 K.21.a.b. 69, 70
30 R.7.b.g. 17 95 A.1.a. 69
31 I.13.b.a. v. No.289. 103 D.6.b.; D.2.b. 69
33 K.20.c. 416 104 L1.7.d. 69
34 A.1.a. 417 105 L1.3.d. 70
35 A.2.a. 417 105 L1.10.a.; L1.17.a. 70
36 L2.5.a. 18 111 R.4.a. 346
38 C.1.f. 18 112 R.4.a. 347
40 L1.7.b. 18 113 R.1.a. 347
41 L1.17. 417 114 R.9.b. 347
43 K.6.a.b. 18 115 R.9.b. 348
44 K.1.c. 19 116 C.1.g. 348
45 K.4. 19 117 I.2.b. 70
46 A.2.b. 19 118 K.20.e. 70
47 A.2.b. 19 119 A.3.k. 70
48 K.13.a. 20 120 I.2.b. 71
49 I.1. 20 121 K.20.c.a. 349
50 I.1. 21 122 A.1.b. 349
52 L1.5. b.17.e. 21 123 A.1.b. 91
55 I.1. 21 124 K.1.b.a.b. 91
57 L1.17.e.; X. 395 125 K.13.c. 133
59 I.17.c. 90 127 A.3.k. 349
67 K.1.b.b; K.4. 44 128 K.8.e. 91
69 R.2.b. 45 129 K.11.d. 396
70 A.2.b. 45 130 R.7.b.g. 91
71 J.2.c. 45, 68 131 K.2.a.; K.20.a. 193
132 K.20.c.; D.2.b. 349 173 K.2.b. 119
133 L1.5.a. 92, 113 174 P.2.a 137
134 R.1.f. 92 176 L1.5.d. 137
135 K.10.e. 92 177 P.3.b. 350
136 P.3.b. 93 178 P.1.f. 100
137 K.20.e. 93 179 v.No.196.
138 A.1.a. 93 180 J.2.c. 138
139 A.3.k. 93 181 B.1.a. 138
140 I.2.b. 94 182 K.1.b.b. 350
141 K.13.c.b. 94 183 K.8.f. v.215. 139
143 C.1.g. 94 184 K.8.a. 139
144 J.1.b. 396 185 A.1.b. 140
145 K.1.b.g. 114 186 K.8.e. Iw
146 K.20.d.; D.6.b.g. 114 187 K.4. 140
147 K.20.d. 114 188 K.12.b.a. 141
148 P.1.f. 115 189 K.2.c. 350
149 I.1. 116 190 M1.3.j. 141
150 H.3.c. 235 191 R.4.a. 141
151 I.1. 117 192 R.1.d. 142
152 I.1. 397 193 I.1. 142
153 R.l.a. 117, 350 194 A.3.k. 238
154 R.l.a. 117 195 R.1.a. 142
155 K.12.b. 117, 134 196 A.1.b. 351
156 K.5.d. 118 197 K.13.c. 165
157 K.13.c. 134 198 K.13.c. 165
158 K.8.a. 118 199 J.2.c. 165
159 L1.11.a. 119 200 I.2.b. 165
160 A.1.b. 134 201 L1.7.c.; L1.17.a. 166,194
161 A.1.a. 134 202 K.8.b. 166
162 D.6.b.g. 135 203 K.6.a. 166
163 D.2.b.b. 135 204 A.1.b. 167
164 L1.5.a. 135 205 A.1.a.; I.19.a. 167
165 C.1.f. 135 206 K.11.e. 167
166 R.4.a. 136 207 K.4.a.a. 168
167 R.9.b. 282 208 L1.7.c.; L1.17.a. 168,194
168 K.10.e. 136 209 D.6.b.g. 169
169 A.2.a. 136 210 D.6.b.g. 169
170 I.9.c. 237 211 K.4. 169
172 M4.e. 213 212 D.2.d. 170
213 L1.6.b. 170 253 R.7.a. 263
214 K.1.a. 195 254 I.1. 264
215 K.8.f. 196 255 L1.6.b. 264
216 K.14.b. 196 256 K.4. 264
217 K.5.b. 197 257 M1.3.e.; O.2.f. 265
218 K.2..a. 197 259 I.2.b. 265
219 B.3.d. 217 260 L1.3.b. 4.a. 266
220 A.1.a. 197 261 L1.1.c.a. 266
221 E.1.c.; K.9.a. 197,239 262 L1.6.a. 267
222 I.25.b. 198 263 K.11.e. 267
223 L1.17.a. 198 264 K.2.a. 268
224 K.11.e. 199 265 I.2.b. 351
225 L1.5.a.b. 218 266 I.2.b. 351
226 L1.17.e. 220 267 A.3.b. 283
227 K.8.a. 200 268 P.3.b.; K.11.d. 284
228 K.10.e. 220 269 J.1.a.a. 269
229 K.13.c. 220 270 L1.5.b. 269
230 K.11.d. 221 272 L1.1.c. 269
231 L1.17.d.5.d. 222 273 K.11.d. 284
232 K.10.b. 222 274 D.6.b.g. 418
233 A.2.a. 223 276 M1.8; M1.3.i.g. 420
234 R.4.c. 224 277 M1.3.i. 284
235 A.1.b. 239 278 I.2.b. 351
236 I.2.b.a. 240 280 K.16.a. 285
237 L1.1.a.; L1.17.a 240 281 L1.6.a.; O.2.e. 286
238 I.2.b. 241 282 L1.7.d. 286
239 I.1. 241 284 K.2.a. 287
240 J.2.c. 241 285 I.1. 421
241 K.1.c. 242 286 D.6.b.g. 287
242 K.8.c. 244 288 J.1.a. 288
243 K.9.b. 244 289 I.17.a. 288
244 K.10.e. 245 290 K.11.e. 289
245 K.1.c. 246 291 J.2.f. 352
246 K.13.c.g. 246 292 D.2.b.b. 290
247 L1.3.b. 247 293 J.2.f. 291, 372
248 K.2.a. 247 294 K.1.c. 292
249 I.2.a.; I.9.c. 261 295 J.2.f. 293
250 L2.2.c.5.c. 261 296 R.1.d. 294
251 L1.11.e.; N.1.e. 263 297 L1.10.a.b. 295
298 K.20.c.a. 295 325 L1.7.d. 356
299 I.2.f. 352 328 K.20.e. 357
300 K.1.c.; K.4. 296 329 D.2.b.b. 357
301 L1.4.c.; 7.d. 296 330 I.2.b. 358
302 K.1.b.a. 298 331 L1.5.a. 358
303 L1.3.a. 11.c. 321 332 R.1.d. 359
304 A.1.c.b. 299 333 K.2.b. 359
305 K.9.a. 299 334 K.2.b.e. 373
308 L1.14.a. 373 335 I.1. 339
309 K.5.a.;23. 300,321 339 K.2.c. 374
310 I.1. 353 340 K.20.e. 374
313 K.2.c. 373 342 I.18.a.c. 375
314 K.2.e. 301 343 L1.7.d. 375
315 K.1.c 301 348 K.9.a. 375
316 A.1.b. 302 351 A.1.b. 376
317 D.6.b. 353 352 K.1.c. 376
318 L1.17.e. 303 353 L1.17.d. 376
319(a) R.1.d. 354 354 K.11.a. 376
319(b) J.1.c. 303 355 K.20.e. 377
321 J.1.c. 354 357 K.11.a.20.e. 377
322 L2.2.d. 355 358 K.1.c. 378
323 K.4. 355 359 K.20.c. 378
324 L1.3.c. 356 361 J.a.a. 378


[*]  [Nos. 1-6 were published in quarto form during 1894-5. A list of Articles, etc., contained in these Numbers appears in this Index on pp. xi, xii.]