536 Puzzles and Curious Problems

308 Answers square root of 5. In the second case the sine is I divided by the square root of 12 + 22 , which is I divided by the ...

Answers 309 passes 2 times along length, 4 times along breadth, and 6 times along depth. Therefore 4 feet divided by 2, 4, and 6 ...

310 Answers (9 feet) would be one-third of the width of the square (27 feet). In all the successive higher cases the square will ...

Answers 311 THE AUSTRIAN PRETZEL The pretzel may be divided into as many as ten pieces by one straight cut of the knife in the ...

312 Answers 321. THE NOUGAT PUZZLE First cut off the piece marked A from the end, I in. thick. The remainder can then be cut in ...

Answers 313 THE FLY AND THE HONEY The drop of honey is represented by H, the fly by F. The fly clearly has to go over the edge ...

314 Answers is therefore 40 and the depth 16. Now, if we place 20 in the bottom row, and, instead of placing 20 in the next row, ...

Answers 315 328. THE SQUARE TABLE TOP The illustration shows the simplest, and I think the prettiest, solution in six pieces. Mo ...

316 Answers DISSECTING THE LETTER E The first illustration shows how to cut the letter into five pieces that will fit together ...

Answers 317 portional between DC and CE, and therefore the side of the required square. From C describe the arc HJ, and with the ...

318 Answers [Edward B. Escott, a mathematics teacher and insurance company actuary, was a number-theory expert who contributed t ...

Answers 319 [I have been unable to identify Mr. Hill, who discovered this truly remark- able dissection, and do not even know if ...

320 Answers THE PIKA TES' FLAG The illustration will show that the flag need only be cut in two pieces- along the zigzag line. ...

Answers 321 work just because its area is a square with side IS. Figure IV shows the best that can be done in that case, but the ...

322 Answers THE CRESCENT AND THE STAR Though we cannot square a circle, certain portions of a circle may be squared, as Hippoc ...

Answers 323 One portion of the patchwork is drawn in just to guide the eye when compar- ing with the original. THE IMPROVISED C ...

324 Answers TESSELLATED PAVEMENTS The illustration shows how the square space may be covered with twenty- nine square tiles by ...

Answers 325 'I S 6 2 11 S 'i 10 9 1 3 on p. 47), I have allowed it to remain in this volume because of current interest in the p ...

326 Answers GREEK CROSS PUZZLE Place the four pieces together in the manner shown, and the symmetrical Greek cross will be fou ...

Answers 327 A piece, as shown, into three pieces so that the five will form the rectangle in Figure II. This figure may be said ...