The Teaching of Geometry

by David Eugene Smith

• Educational problems, [1]
• Egypt, [26], [40]
• Eisenlohr, [27]
• Engel and Stäckel, [128]
• England, [14], [46], [58], [60]
• Epicureans, [188]
• Equal, [151], [153]
• Equilateral, [147]
• Equivalent, [151]
• Eratosthenes, [48]
• Euclid, [33], [42], [43], [44], [119], [125], [135], [156], [165], [167] ff., [201] ff., et passim;
• editions of, [47], [52];
• efforts at improving, [57];
• life of, [47];
• nature of his "Elements," [52], [55];
• opinions of, [8]
• Eudemus, [33], [168], [171], [185], [216], [309]
• Eudoxus, [32], [41], [48], [227], [308], [314], [317]
• Euler, [38], [280], [318]
• Eutocius, [184]
• Exercises, nature of, [74], [103];
• how to attack, [160]
• Exhaustions, method of, [31]
• Extreme and mean ratio, [250]

• Figures in geometry, [104], [107], [113]
• Finaeus, [44], [239], [240], [243]
• Fourier, [142]
• Fourth dimension, [326]
• Frankland, [56], [117], [127], [135], [159]
• Fusion, of algebra and geometry, [84];
• of geometry and trigonometry, [91]

• Gargioli, [44]
• Gauss, [140], [274]
• Geminus, [126], [128], [149]
• Geometry, books of, [165], [167], [201], [227], [252], [269], [289], [303], [321];
• compared with other subjects, [14];
• introduction to, [93];
• modern, [38];
• of motion, [68], [196];
• reasons for teaching, [7], [15], [20];
• related to algebra, [84];
• textbooks in, [70]
• Gerbert, [43]
• Gherard of Cremona, [37], [51]
• Gnomon, [212]
• Golden section, [250]
• Gothic windows, [75], [221] ff., [274], [282]
• Gow, J., [29], [56]
• Greece, [28], [40]
• Gregoire de St. Vincent, [267]
• Gregory, [280]
• Grévy, 67
• Gymnasia, geometry in the, [45]

• Hadamard, [164]
• Hamilton, W., [14]
• Harmonic division, [231]
• Harpedonaptae, [28]
• Harriot, [37]
• Harvard syllabus, [63]
• Heath, T. L., [49], [56], [119], [126], [127], [135], [149], [159], [170], [175], [228], [261]
• Hebrews, [26]
• Henrici, O., [11], [14], [25], [164], [196]
• Henrici and Treutlein, [68], [164], [196]
• Hermite, [281]
• Herodotus, [28]
• Heron, [35], [137], [139], [141], [209], [259], [267]
• Hexagon, regular, [272]
• High schools, geometry in the, [45]
• Hilbert, [119], [131]
• Hipparchus, [35]
• Hippasus, [273], [309]
• Hippias, [31], [215]
• Hippocrates, [31], [41], [281]
• History of geometry, [26]
• Hobson, [166]
• Hoffmann, [242]
• Holzmüller, [320]
• Hughes, Justice, [9]
• Hypatia, [36]
• Hypsicles, [34]
• Hypsometer, [245]

• Iamblichus, [273], [309]
• Illusions, optical, [100]
• Ingrami, [128]
• Instruments, [96], [178], [236]
• Introduction to geometry, [93]
• Ionic school, [28]

• Jackson, C. S., [12]
• Jones, W., [271]
• Junge, [259]

• Karagiannides, [128]
• Karpinski, [37]
• Kaye, G. B., [232]
• Kepler, [24], [149]
• Kingsley, C., [36]
• Klein, F., [68], [89]
• Kolb, [222]

• Lacroix, [24], [46], [62], [66]
• Langley, E. M., [291]
• Laplace, [101]
• Legendre, [10], [45], [62], [127], [128], [152]
• Leibnitz, [140], [150]
• Leon, [41]
• Leonardo da Vinci, [264]
• Leonardo of Pisa, [37], [43], [279]
• Lettering figures, [105]
• Limits, [207]
• Lindemann, [278], [281]
• Line defined, [137]
• Lobachevsky, [128]
• Loci, [163], [198]
• Locke, W. J., [13]
• Lodge, A., [14]
• Logic, [17], [104]
• Loomis, [164]
• Ludolph van Ceulen, [279]
• Lycées, geometry in, [45]

• M'Clelland, [38]
• McCormack, T. J., [11]
• Measured by, [208]
• Memorizing, [12], [79]
• Menæchmus, [33], [316]
• Menelaus, [35]
• Méray, [67], [68], [196], [289]
• Methods, [41], [42], [115]
• Metius, [279]
• Mikami, [264]
• Minchin, [14]
• Models, [93], [290]
• Modern geometry, [38]
• Mohammed ibn Musa, [37]
• Moore, E. H., [131]
• Mosaics, [274]
• Müller, H., [68]
• Münsterberg, [22]

• Napoleon, [24], [287]
• Newton, [24]
• Nicomedes, [34], [215]