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THE

NORMAL

UNION ARITHMETIC,

DESIGNED FOR

COMMON SCHOOLS, NORMAL SCHOOLS, HIGH SCHOOLS,

ACADEMIES, ETC.

BY

EDWARD BROOKS, A. M., Ph. D.,

SUPERINTENDENT OF PUBLIO BOHOOLS OF PHILADELPHIA,
TORMER PRINCIPAL OF STATE NORMAL BOHOOL, PENNSYLVANIA, AND AUTHOR
OF "THB NORMAL SERIES OF ARITHMETICS," "NORMAL ELEMENTARY
ALGEBRA, ," “NORMAL GEOMETRY AND TRIGONOMETRY," "NOR-
YAL METHODS OF TEACHING, ""MENTAL SCIENCE AND

CULTURE," " PHILOSOPHY OF ARITHMETIO," STO.

"Analysis and Synthesis ;-the magic wand whose touch unfolds tho my

terious and beautiful relations of numbers."

PHILADELPHIA:
CHRISTOPHER SOWER CO.,

614 ARCH STREET.

ASTOR, LENOX AND
TILDEN FOUNDATIONS
R

1919

COPYRIGHT, 1878,
BY EDWARD BROOKS, A. LL.

DNQUIRER P. & P. 00.,
STAREOTYPERS AND PRIXT

LANCASTER, PA.

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PAGE.

PAGB

Capacity of Cisterns, etc.,

SECTION X.

223

Capacity of Bins, etc., 225 INVOLUTION AND EVOLUTION.

Comparison of Measures, 227 Involution, .

348

Comparison of Weights, . 228 Squaring Numbers,

350

Comparison of Money, 228

Cubing Numbers,

351

Evolution,

353

SECTION VIII.

Square Root,

352

PEROENTAGE.

Right-angled Triangles, 359

Simple Percentage

232 Similar Figures,

361

General Formulas,

239

Cube Root,

362

Profit and Loss,

240 Similar Volumes,

368

Commission,

246

Higher Roots,

369

Stocks and Dividends, 249

SECTION XI.

Par, Premium and Discount, 253

Brokerage,

SUPPLEMENT

257

Income from Investments, 260

Arithmetical Progression, · 370

Geometrical Progression, 374

General Taxes,

376

Infinite Series,

272

Simple Interest,

282

Promissory Notes,

Annuities at

Annual Interest,

286

Simple Interest,

377

Partial Payments,

287

379

Compound Interest,
Partitive Proportion,

381

True Discount and Present

Worth,

386

290

Conjoined Proportion,

Medial Proportion,

388

Bank Discount and Banking, 291

Life Insurance,

393

Investments with Interest,. 296

395

Compound Interest,

Building Associations,

297

Exchange,

300

SECTION XII.

Domestic,

301

MENSURATION.

Foreign,

305

Mensuration of Surfaces, 403

Arbitration of Exchange, 309

The Triangle,

404

Duties,

311

The Quadrilateral.

405

The Circle,

406

SECTION IX.

The Ellipse,

408

BATIO AND PROPORTION.

Mensuration of Volumes, 408

Ratio,

316

The Prism,

408

Simple Proportion,

318

The Pyramid,

409

Compound Proportion, 323

The Cylinder,

410

Insurance,

326 The Cone,

410

Partnership,

The Frustums,

411

Simple,

334

The Sphere, .

412

Compound,

366

339

APPENDIX.

Equation of Payments,

Averaging Accounts,

343 Metric System,

413

Settlement of Accounts, 345 Table of Fire Insurance, 423

Account Sales, •

346 Table of Life Insurance,

491

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