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Measurements, Continued.

Of rooms, 289, 315, 316, 345, 359,
389, 390, 400, 434, 461, 462.
Of sector, 516, 592.

Of segment, 516.

Of sphere, 518, 519, 521, 522,
599, 605.

Of tanks, 360, 389, 402, 406, 433,
435, 461, 482, 514, 527.

Of trapezium, 367, 368, 413, 495,
504, 508, 556.

Of trapezoid, 355, 367, 368, 412,
413, 434, 490, 491, 504.
Of triangle, right-angled, 322,
323, 355, 367, 411, 412, 433,
461, 486, 490, 491, 496, 526,
551, 555, 584, 585, 586.

Oblique-angled, 356, 367,
411, 412, 461, 495, 496, 503,
504, 508, 556, 584, 585, 586.
Of wood, 359, 402, 435, 527.
Measures, circular, 608.

Of capacity, 227, 361, 402, 607.
Of extension, 285, 607.
Of time, 226, 608.

Of value, 408, 608.

Of weight, 227, 361, 406, 607,
608.

Mensuration (see Measurements).
Merchants' rule, partial payments,
496, 497, 498.

Metric system, 525, 526, 527, 528,
529.

Minuend, 235, ii.
Mixed decimal, x.

Mixed numbers, 199, 257, 266, 267,
viii, ix.

Multiple, 204, 205, 249, vi, vii.

Least common, 205, 254, 255,
432, 433, vi, vii.
Multiplicand, 235, 300, iii.
Multiplication of algebraic quan-
tities, 547, 548, 549.

Of decimals, 242, 243, 278, 279,
282, 283, 293, 295, 306, 364,
440, 441.

Rule, xi.

Of denominate numbers, 228,
285, 287, 314, 332, 333, 335,
336, 341, 358, 406, 408, 433,
450, 454, 466.

Multiplication, Continued.

Of fractions, 205, 209, 213, 214,
218, 250, 256, 265, 266, 268,
277, 282, 307, 310, 323, 340,
363,364, 399, 405, 432, 433,
471, 484.

Principles and rule, viii, ix.
Of integers, 234, 303, 305, 307,
340, 428, 429, 471.

Principles, definition, and
rule, iii, iv.

Cross-multiplication, 212.
Short methods, 229, 260, 276,
298, 303, 305, 323, 337, 340,
363, 396, 399, 426, 428, 429,
471.

Multiplier, 235, 300, iii.

Negotiable note, 394, 402, 407, 458,
460, 496, 523, 611, 612, 613,
614.
Definition, xxvi.
Net price, xiv.

Net proceeds, xv.

New Hampshire rule, partial pay-
ments, 614, 615.
Nonagon, 573.

Construction of regular, 574,
590.

Non-negotiable note, 615, 616, 617,
xxvi.

Notation of decimals, 239, 240,
441, x.

Of integers, 210, i.
Roman, i.

Notes (see Manual), xxv, xxvi.
Demand, 394, 458, 496, 612, 613,
614, 615, 616, 617, xxv.
Interest-bearing, 394, 407, 458,
460, 496, 611, 612, xxv.

Annual interest, 523, 613,
614, 615, 616, 617, xviii.
Joint, xxv.

Joint and several, 611, xxvi.
Negotiable, 394, 402, 407, 458,
460, 496, 523, 611, 612, 613,
614, xxvi.
Non-negotiable, 615, 616, 617,
xxvi.

Time, 402, 407, 460, 523, 611.
612, xxv.

Notes, Continued.

Days of grace, 402, 403, 451,

485, 609.

Numeration of decimals, 239, 240,
440, 441, 483, x.

Of integers, 210, 211, i, ii.

Oblique angle, 557, 558.
Cone, 594, 604.
Cylinder, 593, 604.

Line, 560, 561, 562, 563, 567,
575, 576, 577, 578, 581.
Prism, 593, 604.
Pyramid, 594, 604.
Oblique-angled triangle, 565.
Area of, 356, 367, 411, 412, 461,
495, 496, 503, 504, 508, 556.
Oblong (see Rectangle), 568.
Obtuse angle, 365, 557, 559, 561,
565, 566.

Obtuse-angled triangle, 365, 565.
Altitude of, 569, 578, 584.

Area of, 412, 570, 571, 584, 585.
Construction of, 571, 583, 584.
Octagon, 573.

Apothem of regular, 591.
Area of, 591.

Construction of, 574, 576, 579.
Perimeter of, 591.
Odd numbers, v.
Opposite angles, 557, 561.
Oral, exercises, 199, 200, 201, 205,

206, 214, 218, 219, 220, 221,
222, 223, 224, 239, 250, 265,
267, 278, 284, 316, 317, 320,
328, 349, 369, 373, 382, 385,
386, 417, 463, 466, 467, 479,
480, 489.
Problems, 202, 203, 230, 231,
236, 257, 258, 261, 269, 270,
272, 273, 276, 284, 299, 300,
303, 304, 307, 308, 318, 335,
338, 345, 346, 351, 352, 395,
397, 398, 411, 423, 427, 431,
436, 446, 447, 452, 453, 454,
455, 467, 468, 475, 476, 477,
478, 491, 492, 499, 406, 507.
Orders of units, 308, i.

Par, xx.

Parallel lines, 562.

Parallel lines, Continued.

Construction of, 562, 563, 564.
Parallelogram, altitude of, 366,
569.

Angles of, 569, 590.

Area of (see Rectangle, Rhom-
boid, etc.), 412, 604.

Construction of, 366, 569, 570,
574, 577, 578, 579, 580, 582,
583, 584.

Definitions, 366, 568.
Parallelopipedon, definition, 593.
Surface of, 290, 316, 345, 354,
356, 389, 406, 413, 414, 434.
Volume of, 358, 359, 360, 362,
390, 402, 413, 414, 435, 454,
461, 462, 493.

Partial payments,

Connecticut
rule (see Manual), 611, 612,
613.
Merchants' rule, 496, 497, 498,
xix.

United States rule, 458, 459, 460,
xix.
Annual interest notes, 613, 614.
New Hampshire rule, 614,
615.

Vermont rule, 615, 616, 617.
Partnership, 352, 407, 409, 439,
440, 454, 455, 482, 483, 501,
502, 508, 509.
Definitions, etc., xxii.

Par value, 388, 442, 443, 444, 488,
xxiv.

Payments, partial (see Partial pay-
ments), xix.

Equation of (see Equation of
payments), xx.

Pentagon, 573.

Construction of regular, 573,
574.

Percentage, 316, 317, 349, 351, 352,

361, 381, 382, 383, 384, 385,
386, 387, 388, 398, 407, 408,
410, 411, 421, 422, 423, 430,
431, 432, 442, 444, 446, 447,
449, 456, 466, 479, 480, 481,
482, 483, 488, 489, 491, 492,
494, 506.

Bonds, 442, 443, 444, 445, 488,
489, xxv.

Percentage, Continued.
Commercial discount, 410, 411,
421, 422, 431, 446, 456, 457,
466, 475, 479, 480, 481, xiv.
Commission, 317, 384, 385, 398,
423, 449, 482, xiv.

Definitions, etc., 316, 381, xiii,
xiv.

Duties, 317, 352, 384, 466, xvi.
Insurance, 317, 364, 385, 386,
423, 444, xv.

Profit and loss, 317, 318, 386,

387, 388, 391, 392, 423, 432,
446, 447, 483, 491, 492, 494,
xiv.

Stocks, 388, 442, 443, 444, 446,

488, 489, xxiv, xxv.

Taxes, 317, 385, 444, 446, xvi.
To find the base or the rate, 383,
384, 385, 386, xiii, xiv.
Perimeter of rectangle, 299, 301,
309, 427, 435.

Of square, 435, 485.

Of right-angled triangle, 491.
Of regular polygon, 591.
Of trapezoid, 491.

Perpendicular lines, 365, 561, 562,

577, 579.

Policy of insurance, xv.
Poll tax, 617, 618, xvi.

Polygon (see Areas, etc.), 573.
Angles of regular, 573, 574.
Construction of regular, 573,
574.

Powers, 463, 519, xxiii.

Premium, exchange, 448, 449, 451,
452, 485, xx.
Insurance, 385, 484, xv.
Stocks and bonds, xxv.
Present worth, 460.

Prime factors, 251, 291, 507, v.
Numbers, 251, 257, 291, v.
Principal (see Interest), 350, 393,
415, xvi.

Principles, addition, ii.

Cancellation, v.

Decimals, x.

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Principles, Continued.
Greatest common divisor, vi.
Least common multiple, vii.
Multiplication, iii.
Proportion, xxii.
Ratio, xxi.

Subtraction, ii.

Prisms, kinds, etc., 592, 593.
Surface of, 511, 512, 595.

Developed surface of, 356,
434, 511, 594.

Volume of, 513, 514, 599, 600.
Problems in interest, 384, 386, 395,

415, 416, 417, 470, 482, 489,
493, 494, xvii.

In percentage (see Percentage,
etc.), 383, 384, 385, 386, 398,
407, 430, 431, 432, 447, 492,
xiii, xiv.

Proceeds (see Bank discount),
402, xix.

Product, 235, 300, iii.
Profit and loss, 317, 318, 386, 387,
388, 391, 392, 423, 432, 446,
447, 483, 491, 492, 494, xiv.
Proper fraction, viii.

Proportion (see Analysis), 476,
477, 478, 479.

Definitions, etc., xxi, xxii.
Protractor, 558.

Pyramid, definition, etc., 594.
Surface of, 512, 595, 596.

Developed surface of, 512,
595, 596, 600, 603.

Surface of frustum of, 596, 597.

Developed surface, 596, 603.
Volume of, 513, 600, 601, 604.
Volume of frustum of, 601, 602,
604.

[blocks in formation]

Radius, Continued.

Of sphere, 518, 521, 598, 599,
605.

Range, U. S. lands, 524.
Rate (see Discount, Interest, Per-
centage, etc.), xiii, xvi, xvii.
Ratio, 466, 467, 468, 469, 516, 517,

519, 521, 522, 582, 584, 595.
Definitions, etc., 466, xxi.
Rectangle, area of, 246, 247, 248,

262, 276, 283, 284, 286, 288,
289, 290, 297, 300, 301, 315,
338, 342, 343, 344, 345, 352,
353, 354, 355, 356, 389, 390,
397, 398, 400, 401, 411, 412,
413, 427, 431, 435, 436, 461,
462, 475, 476, 482, 504, 506,
517, 525, 526, 550, 555, 584.
Definition, 568.

Diagonal of, 322, 491, 504.
Perimeter of, 299, 301, 309, 427,
435.

Reduction of decimals to common

fractions, 292, 296, 441, xi.
Of denominate numbers, ascend-
ing, 228, 231, 285, 286, 287,
311, 326, 327, 328, 341, 356,
357, 408, 441, 444, 445, 484,
492, 494, xiii.

Descending, 227, 228, 245,
285, 286, 287, 311, 326, 327,
328, 341, 433, 441, 484, xii.
Of fractions to common denom-
inator, 203, 205, 249, 255, 267,
ix.

To decimals, 291, 296, 351,
364, 440, 441, xi.

To higher terms, 200, 201,
205, 258, viii.

To lowest terms, 202, 203,
205, 252, 253, 256, 257, 258,
284, 325, 432, 484.

To per cents, 381.

To simplest form, complex,
266, 268, 271, 324, 364, 433,
483, 484, x.

Compound, 266, 271, 324,
364, 432, 433, 484.

To whole or mixed num-
bers, 199, 257, 266, 267, ix.
Of mixed numbers to improper

Reduction, Continued.

fractions, 199, 257, 266, 267,
473, ix.

Of per cents to fractions, 324,
381.
Regular polygons, area
of (see
Hexagon), 591.
Construction of (see Pentagon,
etc.), 573, 574.
Definitions, 573.
Perimeter of, 591.
Regular, prism, 593.
Pyramid, 594.
Remainder, 235, iv.

Review, bonds and stocks, 488,
489.

Cube root, 522.

Decimals, 324, 325, 440, 441.
Denominate numbers, 341, 406,
408, 433, 441.

Discount, bank, 420, 421, 470.
Commercial, 479, 480, 481.
Domestic exchange, 485.
Fractions, 250, 256, 277, 309,
310, 323, 324, 340, 362, 363,
364, 399, 405, 429, 432, 433,
471, 483, 484.
Fundamental

processes, 211,
212, 216, 217, 233, 234, 235,
263, 275, 276, 302, 303, 305,
339, 340, 341, 400, 428, 429,
430, 465, 471, 510.

Interest, simple, 417, 418, 419,
420, 469, 470.

Compound, 487.
Longitude and time, 471, 472,
473.
Measurements, 288, 289, 290,
315, 316, 342, 343, 344, 345,
353, 354, 355, 356, 358, 359,
360, 367, 368, 389, 390, 400,
401, 402, 411, 412, 413, 414,
433, 434, 435, 436, 490, 491,
495, 496, 503, 504, 508, 516,
517.
Miscellaneous, 207, 208, 209,
225, 226, 235, 236, 237, 238,
245, 258, 259, 270, 271, 283,
300, 301, 308, 309, 336, 341,
352, 362, 364, 406, 407, 409,
431, 432, 449, 450, 454, 475,

Review, Continued.
476, 477, 478, 479, 482, 483,
490, 491, 492, 493, 494, 501,
502, 508, 509, 510.
Square root, 473, 481, 489.
Surfaces and volumes, 390, 413,
414, 434, 435, 461, 462.
Rhomboid, area of, 367, 412, 413,
503, 570.

Construction of, 366, 569, 570.
Definition, 366, 567.
Diagonals of, 581.

Rhombus, area of, 367, 412, 413,
496, 504, 570.

Construction of, 366, 496.
Definition, 366, 569, 570, 579.
Diagonals of, 496, 504, 579.
Right angle (see Perpendicular),
365, 491, 557.

Right-angled triangle, area of,
322, 323, 355, 356, 367, 411,
412, 433, 551, 555.
Construction of, 566, 580.
Definition of, 565.

Length of sides of, 486, 490, 491,
506, 516, 525, 555, 556, 580,
581, 596.

Right cone, 594.

Cylinder, 593.

[blocks in formation]
[blocks in formation]

Bill of exchange, cost of, 455.

Face of, 456.
Board feet, 514.
Brokerage, 488.
Cancellation, 263, 264.
Cause and effect, 436.
Circle, area of, 496, 516, 592.
Circumference of, 450, 503,
518.

Diameter of, 450, 503, 518.
Radius of, 518.

Clearing of fractions, 374.
Commercial discount, 410, xiv.

Common prime factor, vi.

Complex fractions, reduction of,
ix.

Compound numbers (see De-
nominate numbers), xii.
Interest, 445, 487, xviii.
Cone, convex surface of, 595.
Frustum of surface of, 597.
Volume of, 603.
Volume of, 513, 600.
Connecticut rule, partial pay-

ments, 611.

Convex surface of cone, 595.
Of cylinder, 595.

Of frustum of cone, 597.
Of pyramid, 597.
Of prism, 511.

Of pyramid, 595.

Cube root of fractions, xxiv.

Of integers, 520, 522, xxiv.

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