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67 Bartlett St.,

NUMERICAL PROBLEMS

IN

PLANE GEOMETRY

Andover, Mass.

IN

PLANE GEOMETRY

WITH

METRIC AND LOGARITHMIC TABLES

BY

J. G. ESTILL

OF THE HOTCHKISS SCHOOL, LAKEVILLE, CONN.

NEW YORK

LONGMANS, GREEN, AND CO.

LONDON AND BOMBAY

1903

Educ T 149.03.370

MARVARD COLLICE LIBRARY
GIFT OF THE

GRADUATE SCHOOL OF EDUCATION

21729

COPYRIGHT, 1896

BY

LONGMANS, GREEN, AND CO.

All rights reserved

FIRST EDITION, APRIL, 1897

REPRINTED WITH ANSWERS, SEPTEMBER, 1898

JUNE 1899 AUGUST 1900
MARCH 1903

MANHATTAN PRESS
474 W. BROADWAY
NEW YORK

ed as are almost universally

because they are not found

tion, will be gratefully re

PREFATORY NOJ. G. ESTILL.

WHEN arithmetic was dropped from the requirements for admission to Yale College, in 1894, the following substitute was adopted: "Plane Geometry (b)-Solution of numerical problems involving the metric system and the use of Logarithms, also as much of the theory of Logarithms as is necessary to explain their use in simple arithmetical operations.-Five-figure tables will be used in the examination." (1896-97 Catalogue.)

At the conference on uniform requirements for admission to college, in February, 1896, at Columbia College, representing Harvard, Yale, Princeton, University of Pennsylvania, Columbia, and Cornell, and nearly all the large preparatory schools of the East, the Mathematical Conference voted unanimously to recommend that arithmetic be dropped from the college entrance requirements, and that a knowledge of the metric system and the ability to solve numerical problems in Plane Geometry be required.

These two facts account for the writing of this little book.

The most of the problems have had class-room test. They add interest to the study of formal geometry. They are helpful, too, in making clear, and fastening in the memory, the principles and propositions of formal geometry. They enforce the practical application of truths

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