Edust 148.99.260

HARVARD COLLEGE LIBRARY

GIFT CT
GINN AND COMPANY

DEC. 20, 1923

THE PHILLIPS-LOOMIS MATHEMATICAL SERIES.

ELEMENTS OF GEOMETRY. By ANDREW W. PHILLIPS, Ph.D.,

and IRVING FISHER, Ph.D. Crown 8vo, Half Leather, $1 75. [By

mail, $1 92.) ABRIDGED GEOMETRY. By ANDREW W. PHILLIPS, Ph.D., and

IRVING FISHER, Ph.D. Crown 8vo, Half Leather, $1 25. [By

mail, $1 40.) PLANE GEOMETRY. By ANDREW W. PHILLIPS, Ph.D., and IRVING

FISHER, Ph.D. Crown 8vo, Cloth, 80 cents. [By mail, 90 cents.] GEOMETRY OF SPACE. By ANDREW W. PHILLIPS, Ph.D., and

IRVING FISHER, Ph.D. Crown 8vo, Cloth, $1 25. [By mail, $1 35.]
OBSERVATIONAL GEOMETRY, By WILLIAM T. CAMPBELL, A.M.

Crown 8vo, Cloth.
ELEMENTS OF TRIGONOMETRY, Plane and Spherical. By

ANDREW W. PHILLIPS, Ph.D., and WENDELL M. STRONG, Ph.D., Yale

University. Crown 8vo, Cloth, 90 cents. [By mail, 98 cents.) LOGARITHMIC AND TRIGONOMETRIC, TABLES. Five-Place

and Four-Place. By ANDREW W. PHILLIPS, Ph.D., and WENDELL

M. STRONG, Ph.D. Crown 8vo, Cloth, $1 00. [By mail, $1 08.] TRIGONOMETRY AND TABLES. By ANDREW W. PHILLIPS,

Ph.D., and WENDELL M. STRONG, Ph.D. In One Volume. Crown

8vo, Half Leather, $1 40. [By mail, $1 54.] LOGARITHMS OF NUMBERS. Five-Figure Table to Accompany

the “Elements of Geometry," by ANDREW W. PHILLIPS, Ph.D., and IRVING FISHER, Ph.D. Crown 8vo, Cloth, 30 cents. [By mail, 35 cents.]

NEW YORK AND LONDON :
HARPER & BROTHERS, PUBLISHERS.

Copyright, 1899, by Harper & Brothers.

All rights reserved.

CONTENTS

PAGE

vii

INTRODUCTION

PART I

ELEMENTARY FORMS AND CONSTRUCTION OF MODELS.

SIMPLE EXPERIMENTS IN MENSURATION

I

17

31

Chapter I. The cube. Squares; right angles ; construction of a dia-

gram; cutting out a diagram; horizontal surfaces; parallel
faces; vertical planes; a test of geometric equality; the three

dimensions in geometry; area of a square, volume of a cube .

II. A parallelopiped. Construction; description ; quadrilat-

erals; straight lines and their measurement; area of a rect-

angle; volume of a parallelopiped; a practical experiment in

volumes

III. A prism. Construction; description; variety in prisms;

triangles.

IV. Angles. Construction and measurement of angles with the

aid of a protractor

V. Construction of some plane figures. Triangles; sum of

the angles of a triangle ; a right triangle; parallel lines ; paral-

lelograms

VI. A truncated prism. Construction ; description

VII. A pyramid. Construction ; description ; diedral angles ;

area of a triangle; volume of a pyramid

VIII. A triangular pyramid. Construction; solid angles

IX. A pentagonal pyramid. Construction

X. A hexagonal pyramid. Construction

.