INDEX 



PAGE 



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 1 36 



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 



PAGE 



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 dimen- 

 sion 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 

 Dangerous, fascination of the 



144 



x 



175 



