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PREFACE TO THE FIRST EDITION.

THE SOURCES from which the following Exercises have been taken are sufficiently indicated by the Table of Contents. This collection differs, in two respects, from any with which the author is acquainted; in the first place, the questions are arranged in such a manner that most of the papers embrace various subjects; secondly, "book-work' is introduced, in order to assimilate the papers to those set at Examinations.

WOOLWICH COMMON: August 1864.

PREFACE TO THE SECOND EDITION.

THIS EDITION contains about 900 additional Examples, selected from Examination Papers which have been set since the publication of the first Edition. The greater part of the new matter will be found in the Appendix; but the fresh questions in Mixed Mathematics commence at

Considerable pains having been taken in correcting errors, it is hoped that they now amount to a comparatively small number.

page 287.

WOOLWICH COMMON: January 1867.

MATHEMATICAL EXERCISES.

TABLES, FORMULÆ, ETC.

TABLES OF WEIGHTS AND MEASURES.

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LINEAL MEASURE. 12 inches (in.) - 1 foot (ft.) 3 ft.

=l yard (yd.) 2 yds. or 6 ft. =l fathom. 53 yds. or 162 ft. =) pole (po.) 40 po. or 220 yds. =1 furlong

(fur.) 8 fur. or 1760 yds. = 1 mile (mi.) 3 mi.

=1

league

(lea.) 697 mi.

=1 degree

(1°). I chain=22 yds.=66 ft. = 100 links. 1 hand -4 inches. 1 line =of an inch.

[blocks in formation]

SUPERFICIAL MEASURE. 144 square inches=1 square foot

CLOTH MEASURE. 24 in. =l nail (n.) 4 n. =l quarter (qr. ) 4 qrs. =1 yd. 3 qrs.

1 Flemish ell.

=1 English ell. o grs. = 1 French ell.

(sq. ft.)

9 sq. ft. =1 square yard (sq. yd.) 302 sq. yds. =1 sq. pole (sq. po.) 40 sq. po. =1 rood (ro.) 4 roods, or 4840 sq yds. =) acre

(ac.)

5 qrs.

B

d

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S

do.

T = •7853986; log -=1.8950899; :·5235988; log 1.7189986 4

4

6 Unit of Circular Measure 570.2957795;

log 57.2957795=107581226. Do.

= 206264:"8;

log 206264.8= 5•3144251.
loge 10
2:3025851

: •43429448 ; log10 M=1:6377843. e=base of Napierian system of logarithms=2.718281828; log100 =°4342945. g=force of gravity = 32.19084 ft.; log g=l5077323 ;

1 log =2.4922677.

9

M10

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