Sidebilder
PDF
ePub

WOOLWICH MATHEMATICAL PAPERS

1

[blocks in formation]

ST. JOHN'S COLLEGE, CAMBRIDGE; INSTRUCTOR OF MATHEMATICS AT THE

ROYAL MILITARY ACADEMY, WOOLWICH

London
MACMILLAN AND CO., LIMITED

NEW YORK: THE MACMILLAN COMPANY

1901

All rights reserved

mali 395.30.21

COT

HARVARD

LEGE

JAN 29 1902

LIBRARY Farrar fund.

GLASGOW: PRINTED AT THE UNIVERSITY PRESS

BY ROBERT MACLEHOSE AND CO.

MATHEMATICAL EXAMINATION PAPERS

FOR ADMISSION INTO

Royal Military Academy, Woolwich,

JUNE, 1891.

OBLIGATORY EXAMINATION.

I. EUCLID (Books I.-IV. AND VI.).

[Ordinary abbreviations may be employed; but the method of proof must

be geometrical. Proofs other than Euclid's must not violate Euclid's sequence of propositions. Great importance will be attached to accuracy.]

I.

Draw a straight line perpendicular to a given straight line of an unlimited length, from a given point without it.

2.

Describe a parallelogram which shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle.

3. On the perpendicular AD of an equilateral triangle ABC another equilateral triangle EAD is described ; show that its perpendicular EF is one-fourth of the perimeter of the triangle ABC.

4. Enunciate that proposition in Euclid's second book which is expressed directly in algebraic symbols by the formula (2a+b)6+ao = (a + b)?, and give the construction by which the proposition is proved.

« ForrigeFortsett »