Child lifting two horses, 131 Perpetual motion by a, 64 Circle, squaring the, 9 Supposed reward for squaring the, 9 Resolution of Royal Academy of Sciences on, 10 What the problem is, 12 Approximation to, by Archimedes, 14 Jews, ratio accepted by, 13 Egyptians, ratio accepted by, 14 Symbol for ratio introduced by Euler, 14 Graphical approximations, 22 Circumference of circle, to find, when diameter is given, 22 Clock that requires no winding, 38 Columbia College seal, 140 Column of De Luc, 40 Compass, watch used as a, 134 Congreve, Sir William, 53 Cube, duplication of, 38 Crystallization seen by microscope, 108 Mistaken for palingenesy, 100 Dancer--microphotographs, 144 Dangerous, fascination of the, 1 Declaration of Independence, 145 De Luc's column, 40 De Morgan--Legend of Michael Scott, 6 Ignorance _v._ learning, 8 Illustration of accuracy of modern attempts to square the circle, 18 "Budget of Paradoxes," 6, 18 Trisection of angle, 34, 118 On powder of sympathy, 112 Anecdote of Diderot, 118 Dial of Ahaz, 133 Diderot, anecdote of, 118 Digby, Sir Kenelm, and palingenesy, 109 Sir Kenelm and powder of sympathy, 111 Dircks, 56, 71, 75 Discoveries, valuable, not due to perpetual-motion-mongers, 36 Duplication of the cube, 30 Elixir of life, 95 Engineering, insect, 130 Euler, 14, 118 Fallacies in perpetual motion, 65 Falstaff and the philosopher's stone, 97 Faraday's discovery, 93 Farrants, Prest. Royal Mic. Soc, 140 Figure, a, enlarged by cutting, 126 First folio Shakespeare, cost of, 168 Fixation of mercury, 92 Follies of Science, The Seven, 2 D'Israeli's list, 2 An inappropriate term, 3 Fourth dimension--conception of, 117 Flatland, 120 Kant and Gauss, 121 Spiritualists, 121 Edward Carpenter on, 122 Possibility of a new sense, 123 Frauds in perpetual motion, 69 Freezing of mercury, 93 Froment, micrographs, 139 Gases, liquefaction of, 93 Geiser's clock, 71 Geometrical quadrature impossible, 21 Gibberish, origin of word, 96 God, demonstration of existence of, 118 Hammer made of solid mercury, 93 Hand, to look through, 156 Heat and cold, illusions, 150 Hesse, Landgrave of, 77 Hindoos, ratio accepted by, 16 Holmes, O. W., and powder of sympathy, 111 Homer's Iliad in nutshell, 136 Honecourt, Wilars de, 42 Horses lifted by child, 131 Hydrofluoric acid, 104 Hydrostatic paradox, 46 Iliad of Homer in nutshell, 136 Impossible, fascination of the, 1 Insect engineering, 130 Irradiation, 152 Jews, ratio accepted by the, 13 Keeley gold cure, 97 Keeley motor, 69 Kircher and palingenesy, 106 Lacomme, on squaring circle, 27 Lamps, ever-burning, 100 Library, Congressional, in hand-bag, 145 Light from electric earth-currents, 103 Lines, geometrical, 119 Lines, direction of, deceptive, 154 Length of, deceptive, 153 Liquid air, 65