Rules, Continued.

Rules, Continued.

Multiplication, algebraic quan-

tities, 549.

Decimals, xi.

Fractions, 265, ix.

Short methods, 399.

Integers, iii.

Short methods, 276, 303, 305,
340.

By 10, 100, etc., iv.
Mixed numbers, short meth-
ods, 276, 340, 399, 405.
New Hampshire rule, partial
payments, 614.

Notation of decimals, x.
Of integers, i.
Numeration of decimals, x.
Of integers, ii.

Oblique solids, volume of, 604.
Partial payments, Connecticut
rule, 611.

Merchants' rule, 497, xix.
United States rule, 458, 459,
xix.

Annual interest notes, 613.

New Hampshire rule, 614.
Vermont rule, 615.
Partnership (see Manual), xxii.
Percentage, 383, xiii.

To find base, 384, xiii, xiv.
Rate, 384, xiii.

Perpendicular right-angled tri-
angle, 486.

Power, second, 463, xxiii.
Third, 519, xxiii.
Prime factors, v.

Common, vi.

Rate, discount, 424.
Interest, 414, xvii.
Percentage, 383, xiii.

Ratio, 466.

Reduction of decimals to com-
mon denominator, xi.
To common fractions, xi.
Of denominate numbers, as-
cending, 326, 357, xiii.
Descending, 326, xii.

Of fractions to the least com-
mon denominator, 255, ix.
To decimals, 291, xi.
To higher terms, viii.
To lowest terms, 252, viii.
To simplest form, ix.

Of improper fraction to mixed
number, ix.

Of mixed number to improper
fraction, ix.

Root, cube, 520, 522, xxiv.

Square, 465, 481, xxiii, xxiv.
Sphere, surface, 518, 521, 605.
Volume, 521.

Square root of fractions, xxiv.
Of integers, 465, 481, xxiii.
Of mixed numbers, 473.
Subtraction of algebraic quanti-
ties, 533.

Of decimals, xi.
Of fractions, ix.
Of integers, ii, iii.
Surface of cone, 595.
Of cylinder, 595.

Of frustum of cone, 597.

Of pyramid, 597.

Of prism, 511.
Of pyramid, 595.

Of sphere, 518, 521, 605.
Taxes, 617.

Vermont method, 617.
Term of discount, xix, xx.
Time between dates, 346, 348,

609, xiii.

Bank discount, 420.
Commercial discount, 421, 422.
Compound interest, 445, 446.
Division, 233, 263, 341, 400, 430.

Divisors 12, 25, 75, etc.,
229, 260, 298, 337, 396, 426.
Divisors ending in ciphers,
281, 294.
Multiplication, 305, 428, 429, 471.
Fractional multipliers, 399,
426, 429, 471.

Multiplier a mixed number,
323, 340, 363, 399, 426, 429.
99, 999, etc., as multipliers,
340, 399, 429, 471.

123, 25, 75, etc., as multi-
pliers, 229, 260, 276, 298, 303,
337, 340, 396, 399, 429, 471.
Simple interest, 419.
Subtraction and addition, 234,
302, 429.

Short methods, Continued.
Subtraction of 99, 999, etc.,

396.

Sight drafts, 448, 449, 452, 485,
xxvi.

Cost of, 448, 449, 452, 485, xx.
Face of, 448, 449, 485, xx.
Sight exercises, 206, 213, 221, 222,
224, 225, 226, 229, 232, 233,
243, 244, 251, 252, 254, 260,

262, 263, 275, 276, 277, 278,

281, 296, 303, 306, 307, 369,

370, 374, 377, 381, 426, 442,
467, 474, 505.

Similar triangles, 586.

Slant height, of cone, 512, 513, 595,
596.

Of pyramid, irregular, 596.
Regular, 512, 594, 596.
Small circle, 598.

Solid contents (see Volumes), 358,
359, 360, 362, 390, 402, 413,
414, 434, 435, 442, 461, 462,

493, 507, 513, 514, 521, 522,

527, 528, 599, 600, 601, 602,
603, 604, 605.

Special drills, 260, 298, 337, 396,
426, 474.

Sphere, great circle of, 518, 598.
Small circle of, 598.

Surface of, 518, 519, 605.
Volume of, 521, 522, 605.

Square, area of, 343, 355, 367, 435,
461, 503, 504, 516.

Construction of, 569, 573, 574,
576, 577, 578, 579, 583.
Definition of, 568.

Diagonal of, 322, 491, 503, 504.
Side of, 270, 401, 485, 486.
Square measure, 354, 607.
Square root, of algebraic quanti-
ties, 652, 653.

Of decimals, 481, 482, 489.

Of fractions, 473.

Of integers, 270, 465, 481, 489.
Of mixed numbers, 473.
Rules and definitions, 464, 465,
xxiii, xxiv.

Stocks and bonds, 388, 442, 443,

444, 445, 446, 488, 489.
Definitions, xxv.

Subtraction, algebraic quantities,
532, 533, 534.

Removing parentheses, 534.
Decimals, 242, 283, 293, 364, 440,
441.
Denominate numbers, 208, 285,
287, 288, 312, 331, 332, 335,
336, 348, 358, 430.
Fractions, 205, 206, 207, 250,
256, 262, 263, 277, 296, 310,
324, 363, 364, 432, 433, 483,
484.

Integers, 217, 234, 302, 429.
Cross-subtraction, 217, 339.
Principles, definitions, and
rules, ii.

Subtrahend, 235, ii.

Successive discounts (see Com-
mercial discount), xiv.

Sum, 235, ii.

Surface (see Areas and Measure-
ments).

Of cone, 512, 513, 595, 596,
598.

Of cylinder, 511, 512, 593, 595.
Of fence, 289, 343, 354, 390, 400,
435.

Of frustum of cone, 597.

Of pyramid, 596, 597.

Of parallelopipedon, 290, 316,
345, 354, 406, 413, 414, 434.
Of prism, 356, 511, 512, 595.
Of pyramid, 512, 595, 596.
Of sphere, 518, 519, 599, 605.
Of walls of room, 289, 315, 316,
344, 345, 389, 390, 400, 434,
461, 462.

Surveyors' measure, 607.

Tables, apothecaries' weight, 361,
607.

Avoirdupois weight, 227, 361,
406, 608.

Long ton, 341, 608.

Circular measure, 450, 558, 608.
Cubic measure, 361, 607.
Dry measure, 227, 607.
English money, 408, 608.
Liquid measure, 227, 607.
Long measure, 285, 607.
Square measure, 354, 607.

Tables, Continued.
Surveyors' measure, 607.
Time measure, 226, 608.
Troy weight, 361, 607.
U. S. money, 608.
Tangent, circle, 572, 584.
Line, 582.

Taxes, 317, 385, 444, 446, 510, 617,
618.

Definitions, xvi.
Poll, 617, 618.

Vermont method, 617, 618.
Term of discount, 402, 403, 404,
421, 424, 470, xix.
Third power, 519, xxiii.
Time drafts, 451.

Acceptance of, 451, xxvi.
Cost of, 451, 452, 485.
Definitions, xx, xxvi.
Face of, 452, 485.
Time measure, 226.

Time note (see Notes), xxv.
Township (U. S. lands), 524.
Transposing, 377.

Trapezium, area of, 368, 413, 495,
504, 508, 571.

Construction of, 570, 571.
Definition, 578.

Diagonal of, 495, 571.

Trapezoid, area of, 355, 367, 368,
413, 414, 434, 490, 491, 504,
571.

Construction of, 569, 570, 571.
Definition, 568.

Perimeter of, 491.

Sides of, 434, 490, 491.
Triangle, acute-angled, 365, 565,
570, 571, 584, 585.

Altitude of, 584, 585.
Area of, 411, 412, 427, 584,

585.

Construction of, 365, 565,

584.

Isosceles, 366, 566.

Altitude of, 495, 567, 578,
584, 594.

Area of, 367, 411, 412, 495,
496, 503.

Construction of, 366, 566,
567, 575, 576, 578, 579, 582,
584.

Construction of, 564, 575,
578, 579, 580, 582, 584, 585,
586.

Right-angled, 322, 365, 565.

Area of, 322, 323, 355, 356,
367, 411, 412, 433, 490, 496,
526, 551, 555.

Construction of, 564, 576,
578, 579, 580, 582, 584, 585,
586.

Hypotenuse of, 486, 490, 491,
496, 506, 525, 526.

Perimeter of, 491.

Perpendicular or base of,

Value of foreign coins, 619.
Vermont rule, partial payments,
615, 616, 617.
Taxes, 617, 618.
Vertical, angles, 657.
Lines, 660.

Volume of cone, 513, 514, 600, 604.
Of cylinder, 513, 514, 522, 599,
604.

Of frustum of cone, 603.

Of pyramid, 601, 602.
Of parallelopipedon, 358, 359,
360, 362, 390, 402, 413, 414,
434, 435, 454, 461, 462, 493.
Of prism, 513, 514, 599, 600.
Of pyramid, 513, 600, 601, 604.
Of sphere, 521, 522, 605.