INDEX

Absurdities in perpetual motion, [42]
Accuracy of modern methods of squaring the circle, [17]
Adams, perpetual motion, [71]
Ahaz, dial of, [133]
Air, liquid, [65]
Alkahest, or universal solvent, [104]
Altar of Apollo, [30]
Angelo, Michael, finely engraved seal, [136]
Angle, Trisection of, [33]
Apollo, Altar of, [30]
Approximations to ratio of diameter to circumference of circle, [17]
- De Morgan's Illustration of, [18]
- New Illustration of, [19]
Archimedean screw, [49]
Archimedes, area of circle, [13]
- Ratio of circumference to diameter, [14]
Archimedes and his fulcrum, [171]
Arithmetic of the ancients, [15]
Arithmetical problems, [163]
- Chess-board problem, [163]
- Nail problem, [164]
- A question of population, [165]
- How to become a millionaire, [166]
- Cost of first folio Shakespeare, [168]
- Arithmetical puzzles, [170]
- Archimedes and his fulcrum, [171]
Army Medical Museum, [142]

Ball, Prof. W. W. R., [39], [129], [133], [134]
Balloons for conveying letters, [147]
Balls—proportion of weight to diameter, [32]
Bean, jumping, [128]
Bells kept ringing for eight years, [41]
Bible in walnut shell, [136]
Bible, written at rate of 22 to square inch, [141]
Boat-race without oars, [129]
Bolognian phosphorus, [102]
Boots—lifting oneself by straps of, [128]
Boyle and palingenesy, [107]
Bramwell, Sir Frederick, [38]
Brick, to look through, [151]
Buckle and geometrical lines, [119]
"Budget of Paradoxes," De Morgan, [6], [18], [118]

Carbon bisulphide for perpetual motion, [67]
Capillary attraction, [53]
Carpenter, Edward—fourth dimension, [122]
Catherine II, [118]
"Century of Inventions," [74]
Chess-board problem, [163]
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]
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]
Senses—illusions of, [148]
- Taste and smell, [149]
- Heat and cold, [150]
- Hearing, [150]
- Touch, [150]
- Sight—size of spot, [152]
  - Length of lines, [153]
  - Direction of lines, [154]
- Objects seen through hand, [156]
- Looking through a brick, [158]
Sense, possibility of a new, [123]
Shadow going backward on dial, [133]
Shakespeare, cost of first folio, [168]
- Philosopher's stone, [97]
- Witchcraft, [114]
Shanks—value of ratio carried to 707 places, [16]
Sharp, Abraham, [16]
Sight, sense of, deceived, [152]
Smith, James, on squaring circle, [28]
Snake lifted by spider, [130]
Solvent, universal, [104]
Space enlarged by cutting, [126]
Spider lifting a snake, [130]
Sun-dial—shadow going backward, [133]

Taste and smell—illusions, [149]
Tides, clock moved by, [40]
- Will be the great source of power of the future, [40]
Time it would take Archimedes to move the world, [171]
Touch, sense of, deceived, [150]
Transmutation of the metals, [79]
- Ancient fables, [79]
- Hermes Trismegistus, [80]
- Treatises not allegorical, [81]
- Seven metals, [82]
- Metals named after planets, [82]
- Methods of cheating, [83]
- "Brief of the Golden Calf," [84]
- Story of unknown Italian, [87]
- Possibility of effecting, [88]
- Sir William Ramsay, [89]
- Effect of such discovery on our currency system, [90]
"Tribune," New York, [29]
Trisection of angle, [33]
Tube and balls, [56]
Tube and rope, [59]

Universal medicine. See [Elixir of Life].

Van Ceulen, Rudolph, [16]

Wallich, Dr., [35]
Watch that is wound by walking, [39]
- Used as a compass, [134]
Webb micrographs, [142]
Whewell's refutation of 31⁄8 ratio, [28]
Wilkins, Bishop, [48]
Witchcraft or magic, [113]
Worcester, Marquis of, [74]
Writing, fine, [139]

Young, Dr. Thomas, [44]

Transcriber's Note: Minor spelling and typographical errors have been corrected without note.