kinds, 150; compound, 308; by | HEIGHT of objects in horizon, 458,

Exchange, 372, 374; foreign, Invoice, 231.

rectangular parallelopipeds, 210; | Principal, 353.

of prisms, 446; cones, 448; pyr-
amids, 446; frustums, 450; bowls
and boilers, 449; cylinder, 445;|
sphere, 205, 211, 189.
Miles, 287; nautical, or geograph-
ical, or knot, 287, 302, notes.

Money U. S., 182; foreign,

303.

:

Multiplication, 126; of decimals,
128; contracted, 143; by com-
plements, 137; by reciprocals,
164; by factors, 132; com-
pound, 307.

NOTATION, 2, 16.

Notes of hand and bank discount,
358.

Numeration, 2, 16.

Progression, arithmetical, 430–
434; geometrical, 435–441.
Proportion, 323–338; test of, 335;
compound, 339-340, also 267.
Pyramid, 446; frustum, 450.

RATE per cent, 355.
Ratio, 323.
Reciprocal, 161.

Reduction, 291, 292; time and
longitude, 315, 316.
Representative numbers, 345-347.
Roots, 379-397; by logarithms,

413.

Rule of Three, 336, 338; of false,
or double position, 425.

SCREW, 344.

Shingles, 321.

ONCOMETRICS, 194, 196, 325–329. Similarity, geometrical, 398.

Sinking fund, 317 (Exs. 17, 18).

PARENTHESIS, when needed, 111; Solder, composition of common,

how to use, 67, 68.

Partial payments, 363; U.S. rule,
365; Vermont, New Hampshire,
and Connecticut, 252.
Partnership, 342.

Pendulum, 452.

Percentage, 343 et seq.

216.

Sound: velocity of, 460, 461; in
iron, 461; in water, 461.
Specific gravity explained, 212,
214, 215; table of some common
substances, 348; problems in,
199.

Planets, approximate distances of, Sphere: surface of, 205, 189; vol-

Pound, weight, 298, note; Eng- Subtraction, 71; tests, 72; com-

lish money, 303.

Powers, 148, 378-397.

Present worth, 360.

Prism, 446.

pound, 306.

TAXES, 351.

Thermometers, 304.

VOCABULARY.

Abstract number. This phrase is employed to designate numbers used without reference to any particular unit, as 8, 10, 21. But all numbers are in themselves abstract whether the kind of thing numbered is or is not mentioned.

Addition. The process of combining two or more numbers so as to form a single number.

Aliquot part. A number which is contained an integral number of times in a given number. Thus, 5, 61, 121, 163, are aliquot parts of 100.

Amount. The sum of two or more numbers. In Interest, the sum of principal and interest.

Analysis. The separation of a question into parts, to be examined each by itself.

Annuity. A sum of money that is payable yearly or in parts at fixed periods in the year.

Antecedent. The first of the two terms named in a ratio.

Area of a surface. The ratio of the surface to another surface as

sumed as the unit of measure; usually the square of the linear unit. Arithmetic. The science that treats of numbers and the methods of using them.

Assets. All the property belonging to an estate, individual, or corporation.

Average. The mean of several unequal numbers, so that, if substituted for each, the aggregate would be the same.

Bank. An establishment for the custody, loaning, and exchange of money; and often for the issue of money.

Bank discount. An allowance received by a bank for the loan of money, paid at the time of lending as interest on the sum lent. Bonds. Written contracts under seal to pay specified sums of money at specified times, issued by national governments, states, cities, and other corporations.

ix

Cancellation. The striking out of a common factor from the dividend and divisor.

Combination. An arrangement of different things without reference to their order of sequence.

Commission. Compensation for the transaction of business, generally reckoned at some per cent of the money employed in the

transaction.

Common denominator. A denominator common to two or more fractions.

Common factor. A factor common to two or more numbers.

Common multiple. A multiple common to two or more numbers. Complex fraction. A fraction that has a fraction in one or both of its terms.

Composite number. The product of two or more integral factors, each factor being greater than unity.

Compound denominations. Several denominations used to express parts of one quantity.

Compound interest. When the interest due is left unpaid, and considered as an increase made to the principal, the whole interest, accruing in any time, is called compound interest. Compound fraction. A fraction of another fraction.

Concrete number. A phrase without meaning. Things numbered are concrete, but the number is abstract.

Consequent. The second of the two terms named in a ratio.
Consignee. The person or firm to whom goods are sent.
Consignor. The person or firm who sends goods to another.
Corporation. An association of individuals authorized by law to
transact business as a single person.

Couplet. The two terms of a ratio taken together.

Coupon. A certificate of interest attached to a bond, to be cut off when due and presented for payment.

Creditor. A person or firm to whom money is due.

Cube root. One of the three equal factors of a number.

Customs. Duties or taxes imposed by law on merchandise imported, and sometimes on merchandise exported.

Debtor. A person who owes money to another.

Decimal. A tenth. In the ordinary notation, a figure in combination with others has only the tenth part of the value it would have if removed one place towards the left. Thus, in 476, the 4 means 4 times 100; the 7, 7 times 10; the 6, simply 6.