| Musical Figures Resulting from Sound, | 357 |
| The Magic of Numbers, or Curious Tricks in Arithmetic. | |
| Aphorisms of Number, | 199 |
| Palpable Arithmetic, | 200 |
| The Abacus, | 201 |
| Napier's Rods, | 202 |
| The Arithmetical Boomerang, | 203 |
| To Find a Number Thought of, | 203 |
| Second Method, | 204 |
| Third Method, | 205 |
| Fourth do., | 205 |
| Fifth do., | 206 |
| Sixth do., | 206 |
| To Discover two or more Numbers that a Person has Thought of, | 206 |
| How many Counters have I in my Hands? | 207 |
| The Mysterious Halvings, to tell a Number a Person has Thought of, | 208 |
| Second Method, | 209 |
| Who Wears the Ring? | 211 |
| What is Probable? | 212 |
| Variations, | 213 |
| Amusing Combinations, | 214 |
| The Visitors to the Crystal Palace, | 217 |
| How many Changes can be Given to Seven Notes of a Piano? | 217 |
| The Arithmetical Triangle, | 217 |
| How many Different Deals can be made with Thirteen Cards out of Fifty-two, | 218 |
| The Three Graces, | 218 |
| Second Method, | 219 |
| Third Method, | 220 |
| The Fortunate Ninth, | 221 |
| The Ten Ten's, | 222 |
| Dividing the Beer, | 223 |
| The Difficult Case of Wine, | 224 |
| Decimation of Fruit, | 224 |
| The Wine and the Tables, | 225 |
| The Three Travelers, | 225 |
| What Counter has been Thought of out of Sixteen, | 226 |
| Magic Squares, | 227 |
| Odd Magic Squares, | 227 |
| The Square of Gotham, | 229 |
| The Mathematical Blacksmith, | 230 |
| Curious Properties of some Figures, | 230 |
| The Industrious Frog, | 234 |
| The Council of Ten, | 235 |
| The Two Travelers, | 235 |
| Arithmetical Trick, | 237 |
| The Money Trick, | 237 |
| The Philosopher's Pupils, | 237 |
| To Discover a Square Number, | 238 |
| The Sheep, and the Sheep Fold, | 238 |
| The Countrywoman and the Eggs, | 238 |
| To Rub out Twenty Chalks at Five Times, Rubbing out every Time an Odd one, | 239 |
| The Impossible Triangle, | 239 |
| Odd or Even, | 239 |
| The Figures, up to 100, arranged as to make 505 in each Column, when Counted in Ten Columns Perpendicularly, and the Same when Counted in Ten Files Horizontally, | 240 |
| The Old Woman and Her Eggs, | 240 |
| The Mathematical Fortune Teller, | 241 |
| The Dice Guessed Unseen, | 242 |
| The Sovereign and the Sage, | 242 |
| The Knowing Shepherd, | 243 |
| The Certain Game, | 243 |
| The Astonished Farmer, | 244 |
| The Magical Century, | 244 |
| The Hatter Cheated, | 245 |
| The Basket of Nuts, | 245 |
| The United Digits, | 246 |
| December and May, | 246 |
| The Two Drovers, | 246 |
| The Basket and Stones, | 246 |
| The Famous Forty-Five, | 247 |
| Trick in Subtraction, | 247 |
| The Expunged Figure, | 247 |
| The Mysterious Addition, | 248 |
| To tell at what Hour a Person Intends to rise, | 249 |
| To find the Difference between Two Numbers, the Greater of which is Unknown, | 249 |
| The Magic Remainder, | 250 |
| A Person having an equal Number of Counters, or Pieces of Money, in each Hand, to find how many he has altogether, | 250 |
| The Three Jealous Husbands, | 251 |
| The False Scales, | 251 |
| The Apple Woman, | 252 |
| The Graces and Muses, | 252 |
| The Jesuitical Teacher, | 252 |
| Nine Quaint Questions, | 253 |
| The Fox, Goose and Corn, | 253 |
| Multiplying Money by Money, | 253 |
| The Unfair Division, | 255 |
| A Popular Fallacy, | 255 |
| Curious Tricks in Geometry. | |
| The Inventor of Geometry, | 256 |
| Geometrical Definitions, | 256 |
| The Five Geometrical Solids, | 257 |
| How to Make Five Squares into a large one without any Waste of Stuff, | 258 |
| Deceptive Vision, | 258 |
| The Carpenter Puzzled, | 259 |
| The Bricklayer Puzzled, | 260 |
| Triangular Problem, | 260 |
| To Form a Square, | 261 |
| Squaring the Circle, | 262 |
| The Perplexed Cabinet Maker, | 277 |
| Curious and Amusing Puzzles. | |
| Alexander the Great's Puzzle, | 266 |
| The Chinese Cross, | 266 |
| The Parallelogram, | 267 |
| The Divided Garden, | 267 |
| The Endless String, | 267 |
| Chinese Maze, the Willow Pattern Plate, | 268 |
| The Vertical Line Puzzle, | 268 |
| The Three Rabbits, | 269 |
| The Accommodating Square, | 269 |
| The Circle Puzzle, | 269 |
| The Cardboard Puzzle, | 269 |
| The Button Puzzle, | 269 |
| The Quarto Puzzle, | 269 |
| The Puzzle of Fourteen, | 270 |
| The Square and Circle Puzzle, | 270 |
| The Scale and Ring Puzzle, | 270 |
| The Heart Puzzle, | 271 |
| The Cross Puzzle, | 272 |
| The Yankee Square, | 272 |
| The Card Puzzle, | 272 |
| The Three Square Puzzle, | 273 |
| The Cylinder Puzzle, | 273 |
| The Four Tenants, | 273 |
| The Puzzle Wall, | 274 |
| The Twenty-Four Nuns, | 274 |
| The Horse Shoe Puzzle, | 274 |
| The Card Square, | 275 |
| The Dog Puzzle, | 275 |
| Puzzle of the Two Fathers, | 275 |
| The Triangular Puzzle, | 276 |
| Cutting out a Cross, | 276 |
| Another Cross Puzzle, | 276 |
| The Fountain Puzzle, | 276 |
| The Puzzle of the Stars, | 277 |
| The Counter Puzzle, | 277 |
| Japan Square Puzzle, | 277 |
| The Cabinet Maker's Puzzle, | 277 |
| String and Balls Puzzle, | 277 |
| Double Headed Puzzle, | 278 |
| Arithmetical Puzzle, | 278 |
| Grammatical Puzzle, | 278 |
| The Tree Puzzle, | 279 |
| Puzzling Epitaph, | 279 |
| Curious Letter, | 279 |
| A Puzzling Inscription, | 279 |
| Puzzling Kings, | 279 |
| The Knight's Puzzle, | 283 |
| Another Method, | 284 |
| Another Method, | 287 |
| Rosamond's Bower, | 287 |
| The Labyrinth, | 288 |
| The Chinese Puzzle, | 289 |
| Trouble-Wit, | 290 |
| Answers to Puzzles. |
| The Chinese Cross, | 291 |
| The Parallelogram, | 291 |
| The Divided Garden, | 292 |
| The Endless String, | 292 |
| Chinese Maze, | 292 |
| The Vertical Line Puzzle, | 293 |
| The Three Rabbits, | 293 |
| The Accommodating Square, | 293 |
| The Circle Puzzle, | 293 |
| The Cut Card Puzzle, | 294 |
| The Button Puzzle, | 294 |
| The Quarto Puzzle, | 294 |
| The Puzzle of Fourteen, | 294 |
| The Square and Circle Puzzle, | 295 |
| The Scale and Ring Puzzle, | 295 |
| The Heart Puzzle, | 295 |
| The Cross Puzzle, | 295 |
| The Yankee Square, | 295 |
| The Card Puzzle, | 296 |
| The Three Square Puzzle, | 296 |
| The Cylinder Puzzle, | 296 |
| The Four Tenants, | 296 |
| The Puzzle Wall, | 297 |
| The Twenty-Four Nuns, | 297 |
| The Horse Shoe Puzzle, | 297 |
| The Card Square, | 297 |
| The Dog Puzzle, | 298 |
| The Two Fathers, | 298 |
| The Triangular Puzzle, | 298 |
| Cutting out a Cross, | 299 |
| Another Cross Puzzle, | 299 |
| The Fountain Puzzle, | 299 |
| The Star Puzzle, | 300 |
| The Counter Puzzle, | 300 |
| Japan Square Puzzle, | 300 |
| Cabinet Maker's Puzzle, | 300 |
| String and Balls Puzzle, | 301 |
| Double Headed Puzzle, | 301 |
| Arithmetical Puzzle, | 301 |
| Grammatical Puzzle, | 301 |
| The Tree Puzzle, | 301 |
| Puzzling Epitaph, | 302 |
| A Curious Letter, | 302 |
| A Puzzling Inscription, | 302 |
| The Magic of Art. |
| To Trace an Oval, | 303 |
| An Endless Source of Amusement, | 303 |
| The Magic of the Oval, | 303 |
| Variations of the Oval, | 304 |
| What may be done with a Square, | 305 |
| How to make a Circle, | 306 |
| Importance of the Circle in Drawing, | 307 |
| Variation of the Square and Circle, | 307 |
| Importance of the Triangle, | 308 |
| How to Construct a Triangle, | 309 |
| The Triangle Works Wonders in Perspective, | 310 |
| Exaggerated Drawing, | 311 |
| The Parallelogram and Triangle in Combination, | 312 |
| Two Parallelograms in Combination, | 312 |
| Magic of the Parallelogram, | 313 |
| The Secret of Comic Drawing, | 313 |
| Caricature Sketching, | 314 |
| Simple Elements of the Profile, | 315 |
| Comic Profiles, | 316 |
| "Punch," and "Mother Hubbard," | 316 |
| Comical Beards, | 316 |
| The Human Figure, | 317 |
| Proportions of the Human Figure, | 318 |
| Standard Height of the Body, | 318 |
| Comical Drawing of the Human Figure, | 319 |
| The Centre of Gravity, | 320 |
| A Central Line through Everything, | 320 |
| The Curved Line Pervades all Nature, | 321 |
| The Droll Landscape, | 323 |
| Attitude Formed upon the Curved Line, | 324 |
| How to Draw upon Glass, for Magic Lantern Slides, | 325 |
| The Magic of Secret Writing. |
| The Art of Secret Writing very Ancient, | 326 |
| Various Modes of Communicating Secret Intelligence, | 327 |
| Chemistry an Agent in Secret Writing, | 327 |
| Ingenious Mode of Secret Writing, | 328 |
| The Chiffre Indéchiffrable, | 328 |
| A Lock for Mr. Hobbs to Pick, | 330 |
| The Circular Cypher, | 331 |
| Another Method, | 332 |
| The Musical Cypher, | 333 |
| The Magic of Strength. |
| Mechanical Inventions of the Ancients few in Number, | 334 |
| Ancient and Modern Feats of Strength, | 334 |
| Feats of Eckeberg particularly described, | 335 |
| One Man Drawing against Two Horses, | 335 |
| Breaking the Rope, | 336 |
| The Anvil Feat, | 336 |
| Breaking Stones, | 337 |
| The Chair Feat, | 337 |
| The Knee Feat, | 338 |
| The Cannon Feat, | 338 |
| Twisting Iron Bars, | 339 |
| General Explanation on all the Above Feats, | 339 |
| Real Feats of Strength Performed by Thomas Topham, | 340 |
| Remarkable Power of Lifting Heavy Persons when the Lungs are Inflated, | 341 |
| Pyramids of Men, | 342 |
| Miscellaneous Curious Tricks and Fancies. |
| An Artificial Memory, | 343 |
| The Magician's Mirror, | 344 |
| The Perspective Mirror, | 345 |
| The Magical Gyroscope, | 346 |
| Artificial Landscape, | 348 |
| Easy and Curious Method of Foretelling Rainy or Fine Weather, | 349 |
| The Magical Measure, | 350 |
| The Boundless Prospect, | 350 |
| The Magical Watch Lamp, | 352 |
| The Hour of the Day or Night told by a Suspended Shilling, | 351 |
| The Enchanted Palace, | 352 |
| To Know which of Two Different Waters is the Lightest, without any Scales, | 353 |
| To Know if a Suspicious Piece of Money is Good or Bad, | 353 |
| The Pyramid of Alum, | 354 |
| The Dancing Automaton, | 354 |
| To Melt a Piece of Money in a Walnut Shell without Injuring the Shell, | 355 |
| The Invisible Springs, | 355 |
| The Flight of the Ring, | 356 |
| Musical Figures resulting from Sound, | 357 |
| To Make a Card Jump out of the Pack, | 357 |
| The Tell-Tale Cards, | 357 |
| The Double Dozen, | 358 |
| The Housebreakers, | 359 |
| The Magic Book, | 360 |
| The Tape Trick, | 360 |
| More than Full, | 361 |
| Floating Needles, | 361 |
| The Knotted Thread, | 361 |
| The Bacchus Experiment, | 362 |
| Curious Method of Measuring the Height of a Tree, | 362 |
| The Transposable Pieces, | 362 |