536 Puzzles and Curious Problems

(Elliott) #1
Triangle, Square, & Other Polygon Puzzles 89

It will be found interesting to discover such a triangle with the smallest
possible three consecutive numbers for its sides, that has an area that may be
exactly divided by twenty without remainder.


  1. THE DONJON KEEP WINDOW


In The Canterbury Puzzles Sir Hugh
de Fortibus calls his chief builder and,
pointing to a window, says: "Me-
thinks yon window is square, and
measures, on the inside, one foot
every way, and is divided by the nar-
row bars into four lights, measuring
half a foot on every side." See our
Figure A. "I desire that another win-
dow be made higher up, whose four
sides shall also be each one foot, but
it shall be divided by bars into eight
lights, whose sides shall be all equal."
This the craftsman was unable to do,


EB
A

.B

Free download pdf