The Teaching of Geometry

by David Eugene Smith

• Octant, [242]
• Œnopides, [31], [212], [216]
• Optical illusions, [100]
• Oughtred, [37]

• Paciuolo, [86]
• Pamphilius, [185]
• Pappus, [36], [230], [263]
• Parallelepiped, [303]
• Parallels, [149], [181]
• Parquetry, [222], [274]
• Pascal, [24], [159]
• Peletier, [169]
• Perigon, [151]
• Perry, J., [13], [14]
• Petersen, [164]
• Philippus of Mende, [32], [185]
• Philo, [178]
• Philolaus, [309]
• π, [26], [27], [34], [36], [271], [278], [280]
• Plane, [140]
• Plato, [25], [31], [41], [48], [129], [136], [137], [309], [310]
• Playfair, [128]
• Pleasure of geometry, [16]
• Plimpton, G. A., [51], [52]
• Plutarch, [259]
• Poinsot, [311]
• Point, [135]
• Polygons, [156], [252], [269], [274]
• Polyhedrons, [301], [303], [310]
• Pomodoro, [179]
• Pons asinorum, [174], [265]
• Posidonius, [128], [149]
• Postulates, [31], [41], [116], [125], [292]
• Practical geometry, [3], [7], [9], [44]
• Printing, effect of, [44]
• Prism, [303]
• Problems, applied, [75], [103], [178], [186], [192], [195], [203], [204], [209], [215], [217], [242], [267], [295], [317]
• Proclus, [36], [47], [48], [52], [71], [127], [128], [136], [137], [139], [140], [149], [155], [186], [188], [197], [212], [214], [253], [258], [310], [311]
• Projections, [300]
• Proofs in full, [79]
• Proportion, [32], [227]
• Psychology, [12], [20]
• Ptolemy, C., [35], [278];
• king, [48], [49]
• Pyramid, [307]
• Pythagoras, [29], [40], [258], [272], [273], [310]
• Pythagorean Theorem, [28], [36], [258]
• Pythagorean numbers, [32], [36], [263], [266]
• Pythagoreans, [136], [137], [185], [227], [269], [309]

• Quadrant, [236]
• Quadratrix, [31], [215]
• Quadrilaterals, [148], [157]
• Quadrivium, [42]
• Questions at issue, [3]

• Rabelais, [24]
• Radius, [153]
• Ratio, [205], [227]
• Real problem defined, [75], [103]
• Reasons for studying geometry, [7], [100]
• Rebière, [25]
• Reciprocal propositions, [173]
• Recitation in geometry, [113]
• Recorde, [37]
• Rectilinear figures, [146]
• Reductio ad absurdum, [41], [177]
• Regular polygons, [269]
• "Rhind Papyrus," [27]
• Rhombus and rhomboid, [148]
• Riccardi, [47]
• Richter, [279]
• Roman surveyors, [247]

• Saccheri, [127]
• Sacrobosco, [43]
• San Giovanni, [192]
• Sauvage, [164]
• Sayre, [272]
• Scalene, [147]
• Schlegel, [68]
• Schopenhauer, [121], [265]
• Schotten, [46], [135], [149]
• Sector, [154], [156]
• Segment, [154]
• Semicircle, [146]
• Shanks, [279]
• Similar figures, [232]
• Simon, [38], [56], [135]
• Simson, [142]
• Sisam, [11]
• Smith, D. E., [25], [37], [51], [52], [119], [131], [135], [159]
• Solid geometry, [289]
• Speusippus, [32]
• Sphere, [321]
• Square on a line, [257]
• Squaring the circle, [31], [32], [277]
• Stäckel, [128]
• Stamper, [46], [83]
• Stark, W. E., [172], [238]
• Stereoscopic slides, [291]
• Stobæus, [8]
• Straight angle, [151]
• Straight line, [138]
• Suggested proofs, [81]
• Sulvasutras, [232]
• Superposition, [169]
• Surface, [140]
• Swain, G. F., [13]
• Syllabi, [58], [60], [63], [64], [66], [67], [80], [82]
• Sylvester II, [43]
• Synthetic method, [161]

• Tangent, [154]
• Tartaglia, [153]
• Tatius, Achilles, [272]
• Teaching geometry, reasons for, [7], [15], [20];
• development of, [40]
• Textbooks, [32], [33], [41], [70], [80], [82]
• Thales, [28], [168], [171], [185], [210]
• Theætetus, [48], [310]
• Theon of Alexandria, [36]
• Thibaut, [185]
• Thoreau, [246]
• Trapezium, [148]
• Treutlein, [68], [164]
• Triangle, [147]
• Trigonometry, [234]
• Trisection problem, [31], [215]
• Trivium, [42]

• Universities, geometry in the, [43]
• Uselessness of mathematics, [13]

• Veblen, [131], [159]
• Vega, [279]
• Veronese, [68]
• Vieta, [279]
• Vogt, [259]

• Wallis, [127], [280]

• Young, J. W. A., [25], [131], [159], [277]