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Polyedron, diagonal of 270 Pyramid, slant height of . 287
edges of
. 270
triangular

. 287
faces of
. 270
truncated

. 287
regular.

303
vertex of

286
vertices of

. 270
Polyedrons, similar
300 Quadrilateral

11
Postulate

7
Prism

271
Radius of circle.

. 33, 73
altitude of

271

of regular polygon 195
bases of

271
of sphere

327
circumscribed about cyl- Ratio

90
inder
307 Rectangle

49
inscribed in cylinder . 306 Rhombus

49
lateral area of
271 Right section of prisin

272
lateral edges of

271
lateral faces of .
271 Scholium

7
oblique
271 Secant

74
quadrangular
271 Sector of circle

210
regular

. 271
of sphere

360
right
271 Segment of circle

95
6. right section of . 272

of line.

3
triangular

271
of sphere

360
truncated
271 Semicircle.

73
Problem

7 Semicircumference.
Projection of line on line 152 Sides of angle

3
of line on plane. 253 of polygon

11
of point on plane 253
Similar .

133
Proportion

118
polyedron.

300
Proposition

7 Slant height of regular pyra-
Pyramid

286
mid

287
altitude of
. 287 Solid

231
axis of .
287 Sphere

327
base of

. 286
center of

327
circumscribed about

circumscribed about
cone.

315
polyedron

332
inscribed in cone

314
diameter of

327
lateral area of

286
great circle of

329
lateral edges of

. 286

inscribed in polyedron 332
lateral faces of . . 286

poles of

329
quadrangular

287
radius of

327
regular

. 287
small circle of

329

73

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Tangent line to circle.

plane to cone

to cylinder

to sphere.

spheres
Tetraedral angle
Tetraedron
Theorem
Third proportional.
Transform
Transversal
Trapezoid .
Triangle

acute
altitudes of
base of
bisectors of
equiangular

74
314
306
331
332
262
270

7
118
170
17
49
11
11
11
11
12
11

Variable
Vertex of angle

of cone
of polyedral angle
of pyramid .

of triangle
Volume of solid .

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313
262
286

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276

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ALGEBRA FOR COLLEGES AND SCHOOLS

Revised for American Schools and Colleges

By FRANK L. SEVENOAK, A.M., M.D.
Academic Department, Stevens Institute of Technology

12mo. Half Leather. Price $1.10

ELEMENTS OF ALGEBRA
The Elements of Algebra contains the first 366 pages of Algebra for Colleges

and Schools
12mo. Half Leather Price 90 cents

A FEW INSTITUTIONS USING ELEMENTS OF ALGEBRA

OR ALGEBRA FOR COLLEGES AND SCHOOLS High School, Columbia, Mo.

Westtown Boarding School, Westtown, Pa. College for Young Ladies, Lexington, Mo. Harry Hillman Academy, Wilkesbarre, Pa. St. Paul's School, Concord, N H.

Wilkesbarre Institute, Wilkesbarre, Pa. High School, Binghamton, N Y.

Heacock School, Wyncote, Pa. Pratt Institute, Brooklyn, N.Y.

Miss Wheeler's School, Providence, R.I. Nichols School, Buffalo, N.Y.

Webb School, Bell Buckle, Tenn. Mountain Institute, Chappaqua, N.Y. High School, Weatherford, Tex. Westminster School, Dobbs Ferry, N.Y. Preparatory Department, University of Utah, Cascadilla School, Ithaca, N.Y.

Salt Lake City, Utah. University Preparatory School, Ithaca, N.Y. McGuire School, Richmond, Va. State Normal School, Fredonia, NY.

Military Institute, Danville, Va. St. Paul's School, Garden City, N.Y.

Virginia Military Institute, Lexington, Va. Colgate Academy, Hamilton, N.Y.

Harlem Evening High School, New York, Genesee Wesleyan Seminary, Lima, N.Y. N.Y. Staten Island Academy, New Brighton, N Y. Evening High School for Women, New York, St. Austin's School, West New Brighton, N.Y. N.Y. High School, Mount Vernon, N.Y.

Brearley School, New York, N.Y. Lockwood Collegiate School, Mount Vernon, Horace Mann School, New York, N.Y. N.Y.

Columbia Grammar, New York, NY Berkeley School, New York, N.Y.

Ethical Culture School, New York, N.Y. Biys' High School, New York, N.Y.

Dr. Sachs' School, New York, N.Y. Girls' High School, New York, N.Y.

Friends' Seminary, New York, N.Y. High School for Boys and Girls, New York, Union Classical Institute, Schenectady, N Y. N.Y.

Holbrook's Military Academy, Sing Sing, Misses Mackie's School, Newburgh, N.Y. N.Y. Asheville School, Asheville, N.C.

College Preparatory School, Syracuse, N Y. University School, Cleveland, O.

Academy, Troy, N.Y. Academy, Columbus, O.

Academy, Utica, N.Y. St. Mary's Institute, Dayton, O.

High School, East Orange, N J. Yeates Institute, Lancaster, Pa.

Pingry School, Elizabeth, N.J. Mifflintown Academy, Mifflintown, Pa. Peddie Institute, Hightstown, N.J. George School, Pa.

Hoboken Academy, Hoboken. N.J. Pennsylvania Military College. Chester, Pa. Stevens School, Hoboken, N.J. Preparatory School, South Bethlehem, Pa. Morristown School, Morristown, N.J. Swarthmore Grammar School, Pa.

Collegiate School, Passaic, N.J. School of the Lackawanna, Scranton, Pa. Preparatory School, Princeton, N.J. Susquehanna Collegiate Inst., Towanda, Pa. Kent Place School, Summit, N.J.

THE MACMILLAN COMPANY

66 FIFTH AVENUE, NEW YORK

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This book is designed for use in the higher grammar school grades and in high schools. It will be found to meet the requirements of all courses which do not demand a knowledge of Algebra beyond Quadratic Equations.

A FEW SCHOOLS THAT ARE USING THE ALGEBRA FOR

BEGINNERS

Belmont School, Belmont, Cal.

Swarthmore Grammar School, Pa.
Trinity School, San Francisco, Cal. Bryn Mawr School, Pa.
Quitman College, Quitman, Ark. Paine Institute, Augusta, Ga.
Military Institute, Marion, Ala.

Emory College, Oxford, Ga.
Grammar Schools, Baltimore, Md. University of South Dakota, Vermillion,
High School, Union, N.J.

S.D. Pingry School, Elizabeth, N.J.

George R. Smith College, Sedalia, Mo. Stevens School, Hoboken, N.J.

High School, Collinsville, Conn. Nichols School, Buffalo, N.Y.

Preparatory School, Greenville, S.C. Balliol School, Utica, N.Y.

Brainerd Institute, Chester, S.C. Harry Hillman Academy, Wilkesbarre, Chelsea Academy, Chelsea, Vt. Pa.

Walnut Hill School, Natick, Mass. Yeates Institute, Lancaster, Pa.

Ricker Class. Institute, Houlton, Me. Susquehanna Collegiate Inst., Towanda, McGuire School, Richmond, Va. Pa.

Hollins Institute, Hollins, Pa.

THE MACMILLAN COMPANY

66 FIFTH AVENUE, NEW YORK

COMMERCIAL ARITHMETIC

By GEORGE HALL

Principal of Petersburg Academy, Petersburg, Virginia

12mo. Cloth. Price 60 cents

In informal talks — avoiding the customary stiffness of text-books – the parts of arithmetic most in use in commercial life are treated here in a manner at once accurate, entertaining, and so exceptionally lucid, that any one of ordinary intelligence can readily comprehend them without the aid of a personal instructor. Numerous examples are solved in complete detail, and sets of original problems with numbered references to these, are added to assist those seeking to instruct themselves. The clear manner in which the actual business customs are stated will be a great help to teachers, also, in enabling them to present the subjects in more thorough agreement with the real practices.

CONTENTS

ance

Part I. Subjects not Involving the Consideration of Time:
Chapter I. Percentage - Chapter II. Profit and Loss — Chapter III. Insur-

Chapter IV. Trade Discount - Chapter V. Commission Chapter
VI. Stocks and Bonds.
Part II. Subjects Involving the Consideration of Time:

Chapter VII. Simple Interest - Chapter VIII. Compound Interest - Chapter IX. Annual Interest - Chapter X. Banks and Banking – Chapter XI. Domestic Exchange - Chapter XII. Foreign Exchange – Chapter XIII.

Partial Payments - Chapter XIV. Averaging Accounts. Answers and Notes.

THE MACMILLAN COMPANY

66 FIFTH AVENUE, NEW YORK

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