Lodge, Sir Oliver, on conservation of energy, 5 Longitude, relation of squaring the circle to, 10 McArthur, on arithmetic of ancients, 15 Machin, 16 Magnetism for perpetual motion, 61 Man lifting himself, 128 Mathematicians--how they go to heaven, 8 Mercury, fixation of, 92 Freezing of, 93 Metals. See _Transmutation_. Metius, Peter, 16 Micrography, or minute writing, 136 Homer in a nutshell, 136 Michael Angelo's seal, 136 Ten Commandments, 136 Bible in a nutshell, 136 Earliest micrographic engraving, 139 Micrographic copy of seal of Columbia College, 139 Peters' machine, 141 Lord's Prayer written at rate of 22 Bibles to square inch, 141 Webb's fine writing, 142 Calculation in regard to, 143 Microphotographs by Dancer, 144 Pigeon-post in Franco-Prussian War, 146 Millionaire, to become a, 166 Miracle--dial of Ahaz, 133 Morgan. See _De Morgan_. Morton, President Henry, 66 Motion, perpetual. See _Perpetual motion_. Muir, Prof. On Archimedes, 14 Musitanus, Carolus, 96 Nail problem, 164 Nicomedean line, 29 Orffyreus--his real name, 77 His fraudulent machine, 77 Overbalancing wheels, 43 Paint, luminous, 102 Palingenesy, 106 Patent office U. S. and perpetual motion, 42 Pen mightier than the sword, 173 Perpetual lamps, 100 Perpetual motion, 36 What the problem is, 37 Clock that requires no winding, 38 Watch wound by walking, 39 Clock wound by tides, 41 By electricity, 41 Absurdities, 42 Overbalancing wheels, 43 Dr. Young, on, 44 Bellows action, 45 Hydrostatic paradox, 46 Bishop Wilkins, 48 Archimedean screw, 49 Archimedean screw, by mercury, 51 Congreve's, by capillary attraction, 53 Tube and balls, 56 Tube and rope, 59 Magnetism, 61 Self-moving railway carriage, 63 A child's perpetual motion, 64 Fallacies, 65 Liquid air, 65 Bisulphide of carbon, 66 Frauds, 69 Keeley motor, 69 Geiser's clock, 71 Adams, 71 Redhoeffer, 72 Lukens, 72 How to stop the machine, 73 Marquis of Worcester, 74 Dircks' model, 75 Orffyreus, 77 Possibility of, 78 Peters' micrographs, 141 Philosopher's stone, 97 Phosphorus, discovery of, 101 Pigeon-post, 146 Population, a question of, 165 Power, the, of the future, 40 Ptolemy, on the circle, 15 Puzzles, arithmetical, 170 Railway carriage, self-moving, 63 Ramsay, Sir William, 80, 98 Ratio of diameter to circumference carried to 127 places, 17 Redhoeffer's perpetual motion, 72 Rosicrucius, 100 Rutherford, 16 Schott, Father, and palingenesy, 107 Schweirs, Dr., 52 Scott, Michael, and his slave demons, 6 Scott, Sir Walter, legend of the great Wizard, 6 Powder of sympathy, 112 Self-moving railway carriage, 63