ANSWERS.

Otago Witness, Issue 1323, 7 April 1877, Page 14

ANSWERS.

8., Bcaconsfield, sends the following answer to John Whifcfcy's query: —'Impossible. See 1 Euclid, B. 1, prop. 32, and Cors."" Why im-, possible-.? . The sum. of the angles of every figure is' equal to' an even number of right angles.' l ' For twice the number of sides jis. necessarily even, and the even number iow: being subducted, 'leaves an even remainder! Hence it appears that no figure can be constructed the sum of whose' angles is equal to 3, 5, 7, or 9 right angles, &c If the number^ of right ouglesjio which, the sum of the angles of any figure is equal be given, the number of sides may be found. , For since the number of right angles, increased "by four, is equal to twice the number of sides, it follows that half the number of right angles increased by two I ia equal to the number of sides. ' T- •'• JUVENIS—The meaning of " Hie et übiqud" is " Here, there, and every Where." ; R. J., Caversham.—He was born in Sydney. A, .WELL-WISHER.—If we attempted to satisfy your requirements, we would probably offend many of our country readers.

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