536 Puzzles and Curious Problems

288 Answers E to B and extend it on both sides. Also draw a line FG through C and parallel to EB and the lines through A and D p ...

Answers 289 267. THE HIDDEN STAR The illustration shows the symmetrical star in its exact position in the silk patchwork cloth. ...

290 Answers P Q Height Area 2 4 3 6 8 14 12 84 30 52 45 1,170 112 194 168 16,296 418 724 627 226,974 1,560 2,702 2,340 3,161,340 ...

THE SQUARE WINDOW The diagram shows the original window, a yard square. Mter he had blocked out the four triangles indi- cated ...

292 Answers AN ARTIST'S PUZZLE The canvas must be 10 in. in width and 20 in. in height; the picture itself 6 in. wide and 12 i ...

Answers 293 you can double the area, as in D, with 28 hurdles only. If all the hurdles must be used you might construct it as in ...

294 Answers THE RUSSIAN MOTORCYCLISTS The two distances given were 15 miles and 6 miles. Now, all you need do is to divide 15 ...

Answers 295 CHOOSING A SITE This was another little jest. He may build wherever he pleases, for if per- pendiculars are drawn ...

296 Answers next line of4, in 4 ways; and from the next parallelof3 trees, in I way-making, in aU, 35 ways in that direction. Si ...

Answers 297 If readers require a closer approximation or further information as to the manner of solving this puzzle, I cannot d ...

298 Answers fact, it would be 1 to l/y'IO, or 1 to 3.1622+. The method we recommend is the following: In the diagram, AB is the ...

Answers 299 A WHEEL FALLACY The inner circle has half the diameter of the whole wheel, and therefore has half the circumferenc ...

300 Answers Therefore, four times 28 gives us 112 inches as its length. And the area of the space enclosed by the curve and the ...

Answers 301 while Lincoln's head travels a considerable distance, ought to be at once ob- vious to everybody. It should be quite ...

302 Answers n A~ ____ ~ an immovable wheel. This first wheel, D, when the frame revolves, turns a second and thick wheel, E, whi ...

THE FIVE FENCES The illustration explains itself. Answers 303 299. THE FARMER'S SONS The illustration shows the simple solutio ...

304 Answers SIX STRAIGHT FENCES The six straight fences are so drawn that every one of the twenty trees is in a separate enclo ...

tom forming a diamond are all of equal length. Nails or pins at A and B fasten the instrument to the table, B being so fixed tha ...

306 Answers the pencil is at F the length of string is 12 + (12 - 2x) = 24 - 2x, and when the pencil is at C the length of strin ...

Answers 307 PAT AND HIS PIG The pig will run and be caught at 667) yards, and Pat will run 133YJ yards. The curve of Pat's lin ...