Australia, 3, 5-14, 212, 228, 230.

Bernoulli, J., 33, 179, 256.

Berry, A., 60.

Bessel's functions, 147, 183.

Bettanzi, R., 143.

Bézout, É., 133, 161.
Bianchi, L., 32.

Bibliography, Australia, 14; Astria, 26, 77; Belgium, 32-34, 38; Denmark, 44; England, 56, 60; Finland, 65; France, 76, 266; Germany, 127-129; Italy, 143; Japan, 152; Netherlands, 157; Roumania, 159; Russia, 167; Spain, 170; Sweden, 178-184, 190; Switzerland, 199; United States, 210, 211. Bidlingmaier, F., 107.

Bioche, C., 76.

Bismarck, 126.

218, 224, 225, 228.

Babcock, K. C., 203.

Blätter für die Gymnasialschulwesen, 99. Blankenburg, 87.

aire, 67.

Blutel, E., 254, 264.

Böhm, F., 107.

Böttger, A., 128.

Bohlmann, G., 182.

Bolletino della “Mathesis,” 143.

letins, 3, 4, 44, 60, 129, 200, 203, 207–210.

Burkhardt, H., 62, 206.

Busse, 91.

Busz, 91.

Byerly, W. E., 146.

Caesar, 131.

Cacique, 72.

Japan, 145, 148. See also Agrégation,
agrégé.

Contemporary Review, 58.
Conti, A., 143.

Coolidge, J. L., 143.

Coore, G. B. M., 129.

Coriolis, G. G., 256.

tions, 6, 50, 231-236.

Cambridge University, 51-55; entrance
scholarship examinations, 215, 245-251;
International Congress of Mathemati-
cians at, 3.

Candidatus magisterii, 41, 214.
Candidatus philosophiæ, 41, 214.

Cantor, G., 21, 87.

Capen, S. P., 200, 202.

Cardinaal, J., 157.

Carslaw, H. S., 14.

Cartan, E. J., 264.

Castelnuovo, G., 219.

Cauchy, A. L., 32, 62, 114, 134.

Cauer, P., 91.

Censors, 173, 174.

Centralblatt für die gesamte Unterrichts-

Verwaltung in Preussen, 83.

Cesaro, G., 34.

Ceva, G., 154.

Cramer, H., 128.
Crelier, L., 199.

Chargois, C., 33.

Charlier, C. V. L., 185.

Chatelain, E., 143.

Chavanne, G., 34.

Chemin, O., 182.

Chomé, F., 33.

Christiansen, C., 183.

Ciani, E., 219.

Cicero, 131.

École Normale Supérieure, Paris, 68f, 216.
École Polytechnique, Paris, 68f.

Educational Review, 79.

Eidgenössische Technische Hochschule,
Zurich, 191-194, 198.
Ekman, V. W., 186.
Eliot, C. W, 211.

Encyclopaedia Britannica, 129, 163.
Engel, F., 87.

England, 3, 45-60, 163, 215, 223–226, 228,
230-251.

Engström, F. A., 186.

l'Enseignement Mathématique, 4, 26, 38,
72, 123, 128, 129, 137, 143, 157, 167, 190,
199, 211.

Eötrös, J., 135.

Epstein, P., 117.

Euclid, 9, 65, 169, 206.

Euclid's elements, 6, 7, 41, 49, 50, 54, 172.
Euler, L., 32, 114, 150, 169.

Euler's line, 154.

"Euler's theorem" for polyhedra, 16, 154.
Eversheim, P.,
99.

Examination papers, Bavaria, Lehramts-
prüfung, 99, 100; Belgium, concours
général, 30; Denmark, skoleembedsex-
amen, 42-44; England, Cambridge en-
trance scholarship, 245–251, Cambridge
local (senior), 231-236, Oxford and
Cambridge schools, 236-242, University
of London matriculation, 242-244;
France, concours for admission to
l'École Normale Supérieure, and for
bourses de licenses, 252-254, concours
de l'agrégation des sciences mathéma-
tiques, 255-266; Hamburg, Reifeprü-
fungen, 269-271; Japan, teachers' li-
censes, 275-278; Wurttemberg, Reife-
prufüngen, 267-269, Lehramtsprüfun-
gen, 271-274.

Examinations for prospective teachers in
secondary schools, Alsace - Lorraine,
Seminarjahr, 116, 117; Austria, Leh-
ramtsprüfung, 22f, 212f; Baden, general
and special subject examinations,
Seminarjahr, 113-116; Bavaria, Lehr-
amtsprüfung, Seminarjahr, 99–106;
Belgium, as candidate in physical
science and mathematics, for doctorate,
31f, 213, 214; Denmark, filosofikum,
skoleembedsexamen, 41f, 214, 215; Fin-
land, for candidate in philosophy, for
certificate of aptitude in teaching, for
licentiate and doctorate, 62f, 215, 216;
France, licence ès sciences, agrégation,
and doctorate, 68f, 216; Hamburg,
Seminarjahr and Probejahr, 119–121;
Hesse, general and special subject,
Seminarjahr, Probejahr, 117, 118; Hun-
gary, general, special subject and peda-
gogic, 132–137, 218; Italy, for diploma
di magistero, for dottore in matematiche
pure, for licenza dell' universita, 141,
218, 219, 221; Japan, for teachers'
licenses, 147-152, 275-278; Nether-
lands, examinations for candidature,
certificate of capacity for secondary
school teaching, and for the doctorate,
155-157, 220; Prussia, examination pro
facultate docendi or Staatsexamen,
Seminarjahr, Probejahr, 87-97, 217;
Roumania, license ès sciences mathé-
matiques, for certificate of a pedagogic
seminar, examination of capacity, 159,
220, 221; Russia, State examination,
164-6; Saxony, Lehramtsprüfung, Sem-
inarjahr, and Probejahr, 107-110;
Spain, licenciatura, doctorate, 168-170,
221; Sweden, filosofie ämbetsexamen,
filosofie licentiatexamen, for filosofie
doctor, for provår, 176-188, 222; Swit-
zerland, for baccalauréat ès sciences
mathématiques, for certificat d'apti-
tude à l'enseignement des sciences
dans les établissements secondaires
supérieurs, for licence ès sciences
mathématiques, Patentprüfung von
Kandidaten des höheren Lehramts, for
doctorate, 195-198; Wurttemberg, Dien-
stprüfungen, Vorbereitungsjahr or Sem-
inarjahr, 111–13, 271–274. See also,
Bachelor of arts, Bachelor of philoso-
phy, Bachelor of science, Hausarbeiten.

Examinations in secondary schools, Aus-
tralia, junior and senior examinations,
6-8; Austria, Maturitätsprüfungen, 17;
Belgium, for diplôme de sortie, 30, 213;
Denmark, realexamen, and studentexa-
men, 39, 40; Finland, leaving examina-
tion, 61; France, for baccalauréat, con-
cours for École Normale Supérieur and
École Polytechnique, 67-72, 216, 252-
254; Germany, Abschlussprüfung, and
Abgangsprüfung, or Arbiturientenprü-
fung or Maturitätsprüfung or Reifeprü-
fung, 78, 81, 84f; Hungary, for certificate
of maturity, 131; Italy, maturità, for li-
cenza ginnasiale, for licenza liceale, 139;
Netherlands, for diploma, 153–155, 220;
New South Wales, for intermediate and
leaving certificates, 5-7; Roumania,
certificate of secondary study, 158;
Russia, certificate of maturity, 162, 163;
Spain, bachiller en artes, 168, 221;
Sweden, Realsnolexamen, studentexa-
men or afgångsexamen, or maturitetsex-
amen, 172-174; Switzerland, maturity
examinations, 192, 193. See also Col-
lege Entrance Examination Board.
Faber, G., 117.
Färber, C., 87, 96.
Faifofer, A., 140.

Fairon, J., 32, 37.

Fanti, A., 143.

Fazzari, G., 143.

Fehr, H., 199.

Fell, 91.

Fermat's theorem, 25, 29, 213.

Ferreras, L., 170.

Feuerbach's theorem, 21.

Fibonacci's series, 25.

Filosofie doktor, 176, 222.

Filosofie licentiatexamen, 176, 222.

Filosofikum, 41, 214.

Filosofisk ämbetsexamen, 176, 222.
Fink, K., 10.

Finland, 3, 61-65, 215, 216, 224, 225, 228.

230.

Fletcher, W. C., 58, 60.

Föppl, A., 184.

Förster, 120.

Folie, F. J. P., 32.

Forel, 103.

Forms, in English schools, 46f.
Forsyth, A. R., 182.

Fourier's series and integrals, 13, 24, 98,

107, 134, 147, 150, 194, 195, 213, 223.

France, 3, 19, 66-77, 144, 158, 163, 216,
221, 224-228, 252–266.
Fréchet, R. M., 264.
Frick, 92.
Friedel, J., 184.
Fries, W., 27.
Frobenius, G., 98.
Fuchs, L., 127.
Fuhrmann, A., 180.
Fujisawa, R., 146, 152.
Gakushi, 146, 152, 219, 220.
Galdeano, Z. G. de, 170.
Gallander, O., 190.
Galois, E., 170.

Gauss, K. F., 134, 150, 206.
Gazeta matematica, 159.
Geck, E., 128.
Gehrcke, E., 184.

Geometry, descriptive, 16, 18, 21, 23,
24, 33, 69, 70, 74, 83, 89, 98-100, 105,
107-109, 111, 112, 114, 121, 122, 132, 134,
135, 147, 153, 155, 157-159, 164, 169,
170, 172, 193, 195-197, 214, 218, 220,
221, 223, 226, 264, 266, 272, 274; pro-
jective, 18, 19, 23, 24, 32, 62, 65, 69,
98, 107, 111, 114, 122, 132-134, 147,
169, 193-197, 206, 214, 219–223, 226,
271.

Germany, 3, 4, 19, 28, 77-129, 163, 200,
210, 217, 218, 224-228, 230, 267–274.
Gesellschaft deutscher Naturforscher und
Ärzte, 121, 122.

Geuther N., 128.

Geyser, 91.

Gibbs, J. W., 184.

Ginnasio, 138, 229.
Girard, A., 25.
Girod, F., 70.

Gmeimer, A., 21.

Godeaux, L., 32.

Godfrey, C., 50.

Göransson, E., 190.

Goldzieher, K., 3, 137.

Gordan, P., 104.

Gottingen, University of, 78, 90, 97;

Vorschläge, 122, 123.

Goursat, É., 72, 73, 179, 206.

Graf, J. H., 199.

Grassmann, H. G., 127.

Gray, A., 183.

Green's formula, 169, 194, 196, 255.
Greenhill, G., 146.

Greenstreet, W. J., 60.

Gregory, J., 150.

Grévy, A. C., 264, 266.

Grossmann, M., 199.

Horner's method, 133, 158, 273.

Hossfeld, C., 128.

Gubler, E., 199.

Hettner, H., 98.

Hungary, 3, 130–137, 218, 224, 225, 229
Husson, A. S. E., 266.
Huygens, C., 193.

Institutos de segunda enseñanza, 168.
International Commission on the Teach-
ing of Mathematics, 3, 4, 14, 26, 27, 38,
44, 60, 65, 76, 82, 83, 97, 121, 123, 127,
128, 137, 138, 143, 152, 157, 159, 167, 170,
199, 201, 210, 226, 254.
International Congress of Mathematicians,

Kiepert, L., 62, 146, 179.

.Hope, A., 48, 59, 60, 129, 230.

Killing, W., 87, 91, 96, 97, 120, 127.
King, R., 209.

Kirchoff, G. R., 114, 183, 184.

Klein, F., 87, 96, 102, 110, 120, 128, 182.
Kneser, A.,

87.

Knoblauch, J., 87, 98,

Knopp, K., 98.