Abstract numbers, i.
Acceptance, 579, xxvi.
Accounts (see Manual), 655, 664,
692, xii.

Accurate interest, 511, 557, 636,
648, 649, 669, 711.
Definitions, etc., 648, xviii.
Acute angle, 755, 757, 759, 763.
Acute-angled triangle, 763, 768,
769.
Addends, ii.

Addition of algebraic quantities,
728, 729.

Of decimals, 476, 478, 529, 559,
575, 584, 662, 669, 687, 709.
Rule, ix.

Of denominate numbers, 499,
544, 577, 594, 632, 665, 726.
Of fractions, 507, 549, 573, 605,
632, 641, 647, 694, 704, 706, 709.

Principle and rule, ix.
Of integers, 485, 506, 522, 531,
540, 543, 544, 594, 599, 619,
622, 623, 660, 680.
Cross-adding, 528, 573, 605,
680, 698.

known quantities, 742–745.
Two unknown quantities, 736-
742.

Algebraic quantities, addition of,
728-729.

Multiplication of, 732, 745, 746,
747.

Square root of, 750, 751.

Subtraction of, 730, 731, 732.
Aliquot parts, Federal money, 482,
483, 538, 583, 621, 676, 684,
685, 713.

Interest by, 523, 524, 525, 526,
614, 615, xvii.

Miscellaneous, 481, 493, 530, 537,

546, 577, 585, 616, 620, 622.
Altitude of parallelogram, 767,
768, 776, 782.

Of solid, 791, 792, 793, 794,
802.

Of triangle, 516, 652, 653, 668,
677, 754, 767, 776, 782, 783.
Amount, addition, ii.
Interest, 472, xvi.
Percentage, xiii.
Analysis (see Cause and effect),
475, 489, 499, 500, 502, 505,
507, 508, 513, 514, 533, 547,
553, 554, 555, 556, 557, 558,
570, 571, 574, 582, 583, 584,
593, 597, 601, 602, 606, 613,
614, 625, 626, 627, 630, 631,
632, 633, 644, 645, 646, 650,

652, 656, 660, 661, 662, 666,
670, 671, 673, 679, 680, 684,
687, 704, 705, 708, 709, 713.
714, 715, 716.

Angles, acute, 755, 757, 759, 763.
Adjacent, 755, 758, 759.
Construction of, 757, 758, 759,
760, 761, 762, 763, 764, 765,

767, 775, 776, 777, 778, 779,
781, 783.

Designation of, 756.
Exterior, 763.

Formed by parallel lines, 761,

762, 763, 788.
Kinds of, 755.

Measurement of, 756, 757, 758,
759, 760, 761, 762, 763, 764,
765, 767, 775, 776, 777, 778.
Oblique, 755.

Obtuse, 755, 759, 764.
Of polygon, 772, 777.

Of triangle, 762, 763, 777.
Opposite, 755, 759.

Right, 755, 757, 758, 759.
Vertical, 755, 759.
Annual interest, 719, xviii.
Partial payments on annual in-
terest notes, 811, 812.

New Hampshire rule, 812,
813.

Vermont rule, 813, 814, 815.
Antecedent, 610, xxi.
Apothecaries' weight, 499, 805.
Apothem of regular hexagon, 789.
Of regular octagon, 789.
Applications of algebra to arith-
metical problems, 461, 467,
486, 514, 515, 519, 534, 551,
558, 584, 585, 660.

To geometrical problems,
753.

Of square root, 634, 650, 656,
665, 667, 668, 672, 690, 694,
711, 712, 721, 722.
Approximations (see Manual),
483, 562.

Arabic notation, i.

Arc, 695, 770, 775, 778.

Length of, 578, 579, 770, 775,
778, 788, 796.

Area of circle, 601, 653, 667, 695,
722, 790.

Of ring, 696, 790.

Of sector, 669, 695, 790.

Of segment, 695, 704.

Area of rectangle, 487, 496, 502,
508, 514, 515, 516, 539, 541,
551, 552, 557, 572, 595, 597,
601, 621, 622, 633, 675, 717,
722, 748, 753, 782.

Of regular polygon, 789.
Of hexagon, 668, 789.
Of octagon, 789.

Of rhomboid and rhombus, 516,
517, 667, 668, 768.

Of trapezium, 517, 652, 668, 678,
769.

Of trapezoid, 516, 551, 643, 644,
668, 769.

Of triangle, oblique-angled, 516,
538, 601, 652, 653, 667, 668,
678, 754.

Right-angled, 515, 550, 643,
653, 666, 668, 722, 749, 753.
Assessed value (see Taxes), 463,
475, 501, 511, 549, 564, 566,
574, 593, 673, 680, 698, 815,
816, xvi.

Assets, xxii.

Avails (see Proceeds), 489, 572,
599, 683.

Average of accounts (see Equation
of payments), 657.
Term of credit, 658.
Rules, etc., xxi.
Avoirdupois weight, 499, 806
Long ton, 806.

Balance, xii.

Bank check (see Manual), xxvi.
Bank discount, definitions, etc.,xix.
Of interest-bearing notes, 503,
504, 614, 639.

Of non-interest-bearing notes,
489, 490, 491, 513, 514, 515,
526, 527, 528, 533, 535, 571,
572, 583, 594, 596, 599, 606,
615, 631, 636, 651, 656, 670,
676, 683, 684, 686, 688, 702,
703, 710, 718.

Days of grace, 489, 579, 807.
Proceeds (Avails), 489, xix.
To find face of note, etc., 534,
535, 593, 597, 598, 615, 636,
639, 647, 686, 711, 714.
Barrel, 805.

Base, bonds, 564, xxv.
Commercial discount, xiv.
Commission, 564, xv.
Duties, xvi.

Insurance, 564, xv.
Line (U. S. lands), 720.

Of isosceles triangle, 765.
Of prism, 790.
Percentage, 461, xiii.

Profit and loss, 464, 465, xiv.
Stocks, 564, xxv.
Taxes, 564, xvi.

Bill (see Manual), 561, 598, 624,
648, 671.

Definitions, etc., xii.
How receipted, xii.

Of exchange, 576, 585, xxvi.
Bins and tanks, capacity of, 467,
474, 488, 500, 513, 550, 552,
568, 584, 600, 601, 604, 630,
650, 689, 723, 727.
Bisection of angle, 775.

Of arc, chord, and sector,774,775.
Of line, 773.
Board foot, 692.

Measure, 692, 693, 694, 721, 727.
Bonds and stocks, 466, 502, 562,

563, 564, 568, 575, 596, 600,
638, 639, 652, 670, 683, 691,
699, 704, 711, 714.
Brokerage, 564, 638, 639, 652,
695, 713, xxv.
Definitions, etc., xxv.
Broker, xxv.

Brokerage (see Bonds), 594, 638,

Capital, xxii.

Stock, xxiv.

Carpeting, 467, 529, 542, 551, 597,
602, 671, 688, 717, 727.

Cause and effect (see Analysis),
553.

Chain (see Surveyors' measure),
635, 644.

Check (see Manual), xxv.
Chord, 695, 770.

Length of, 770, 780, 788, 796.
Circle, area of, 601, 653, 667, 695,
722, 790.

Circumference of, 539, 578, 612,
613, 653, 667, 711, 727, 769.
Circumscribed, 668, 780.
Concentric, 696, 770, 790.
Diameter of, 539, 578, 613, 653,
667, 668, 704, 769.

Great, 697, 796.

Inscribed, 780.

Radius of, 653, 667, 769.
Small, 796.

Tangent, 770, 782.

Circular measure, 578, 756, 806.
Circumference of circle, 539, 578,

612, 613, 653, 667, 711, 727,
769.
Circumscribed circle, 668, 780.
Polygon, 771, 772, 775, 780, 781,
782.

Clearing of fractions, 451.
Coefficient, 728.

Commercial discount, 509, 510,

511, 529, 530, 531, 561, 586,
592, 627, 628, 629, 662, 666,
669, 677, 686.
Definitions, xiv.
Commission, 462, 463, 474, 475,
483, 495, 498, 533, 539, 545,
548, 568, 571, 572, 577, 591,
593, 598, 614, 670, 672, 686,
687, 713.
Agent, xiv.

Definitions, etc., xiv.
Common denominator, ix.
Factor, v.
Fraction, vii.
Multiple, vi.
Prime factor, v.

Complex decimal, 584, x.

Complex fraction, 474, 475, 476,
604, 632, 656, 704, 706, 707,
709, 712, 714, 715, viii.
Reduction of, 474, 475, 476,
604, 632, 656, x.
Composite factor, v.
Number, v.

Compound addition, 499, 544, 577,
594, 632, 665, 726.
Decimal, x.

Denominate number, xii.
Division, 475, 480, 500, 503, 507,
513, 514, 546, 549, 550, 574,
582, 600, 630, 631, 632, 645,
646, 648, 671, 680, 685, 687,
694, 717, 726.

Fraction, 475, 476, 479, 529, 688,
704, 706, 709, 712, 714, 715,
viii.

Interest, 565, 566, 591, 594, 606,
xviii.

Multiplication, 477, 499, 500,
504, 506, 507, 508, 550, 561,
578, 582, 663, 677, 726.
Numbers, reduction of, 504, 560,
632, 645, 647, 649, 656, 665,
671.

Subtraction, 507, 544, 546, 584,
594, 632, 665, 691.
Concentric circle, 696, 770, 790.
Concrete number, i.

Cone, definitions, etc., 792.

Surface of, 682, 683, 703, 793,
796.

Developed surface of, 682,
793, 794.

Volume of, 689, 690, 798, 802.
Surface of frustum, 795.

Volume of, 801.

Connecticut Rule, partial pay-
ments (see Manual), 809, 810,

811.

Consequent, 610, xxi.

Consignee, xv.

Consignment, xv.
Consignor, xv.

Construction of angles, 757, 758,

759, 760, 761, 762, 763, 764,
765, 767, 775, 776.
Of parallel lines, 760, 761, 762.
Of parallelogram, 767.

Construction of rectangle, 768, 769,
776, 782, 790.

Of regular polygon, 772, 774,
775, 776, 777, 788, 789.
Of rhomboid, 768, 776.

Of rhombus, 767, 776, 777, 781.
Of square, 767, 771, 772, 774,
775, 776, 777, 781.

Of trapezium, 768, 769.
Of trapezoid, 767, 768, 769.
Of triangle, acute-angled, 769,
782.

Equilateral, 764, 765, 772,
773, 775, 777, 778, 780, 781, 782.
Isosceles, 765, 773, 774, 776
777, 780, 782.

Obtuse-angled, 769, 781, 782.
Scalene, 762, 774, 776, 777,
778, 780, 782, 783, 784.

Right-angled, 764, 765, 776,
777, 778, 779, 782, 784.
Convex surface, of cone, 682, 793,
796.

Of cylinder, 681, 698, 791, 793.
Of hemisphere, 797.
Of frustum, 794, 795.

Of prism, 681, 682, 790, 793.
Of pyramid, 682, 690, 793, 794.
Of solids, development of, 681,
682, 683, 792, 793, 794, 795.
Couplet, xxi.

Creditor, xi.

Cross addition, 528, 573, 605, 680,
698.

Subtraction, 485.

Cube (third power), 699.
Definitions, xxiii.

Root, 699, 700, 710, 711, 712, 716.
Of decimals, 700, 710, 712.
Of fractions, 700, 712.

Cubic measure, 488, 518, 805.
Customs (see Duties), xvi.
Cylinder, definitions, etc., 791.
Surface of, 681, 682, 698, 712,
791, 793.

Volume of, 689, 704,712, 797, 802.

Dates, time between, 807, xiii.
Days of grace (see Manual), 489,
579, 807.
Debtor, xi.

Division of, 477, 478, 495, 536,

557, 603, 640, 650, 705, 706.
Miscellaneous, 507, 522, 532,
559, 567, 573, 590, 603, 647,
704, 705, 706, 707, 708, 709.
Multiplication of, 476, 478, 495,
502, 603, 606, 640, 704, 705,
709.
Notation and numeration of,
506, 528, 531, 535, 540, 556,
557, 706, 708, 709.
Reduction of, 476, 479, 495, 512,
541, 584, 715, 717.
Square root of, 640, 665, 717.
Subtraction of, 477, 478, 557,
575, 688, 708.

Definitions, etc., i. -xxvi.
Abstract number, i.

Accurate interest, 648.

Acceptance, 579, xxvi.

Account current, xii.