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Àâòîðèçàöèÿ |
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Ïîèñê ïî óêàçàòåëÿì |
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Bakst A. — Mathematics. Its Magic and Mystery |
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Ïðåäìåòíûé óêàçàòåëü |
Googolplex 74 112
Gravitation 638 640 679 684—685 690- 691 701
Gravitation, force of 679 684—685 690—691 701
Gravitation, force of, for various latitudes 690 691
Gravitation, law, of universal 640
Great circle 605—608
Great Pyramid 102—103
Grille 89—98
Gyroscope 664
Helix 603
Here, coordinate of 612
Horizon 481—483
Horizon distance, formula for 483
Horsepower 645
Hyperbola, equation of 418—419
Hyperbola, relation to circle 515 519
Impulse 634—635 646
Inequalities, method of 568—570 572
infinity 402 515 517
Infinity, graphical representation of 515 517
Instalment buying 224—240
Instalment buying of a house 236—240
Instalment buying, formula for instalments and interest 238 240
Instalment buying, periodical payments 230—232
Instruments for surveying 429—445 450
Interest on mortgages 243—245
Interest on small loans 240—243
Interest, compound 260—262 283—285 295—299
Interest, simple 228—229 240—245
Inverse operation 385
Kepler 630
Kepler’s laws 631
Law of Cosines 747
Law of falling bodies 633 651 659
Law of Sines 747
Law of tangents 747
Law of universal gravitation 640
Laws of Kepler 631
Laws'of exponents 173—177 266—269 712—713
Length of year 103—104
Length, units of measure 68
Life expectancy 345—349
Light, speed of 71 76 78
Line-world 378
Linear equations 186—220 718—724
Linear equations in one unknown 186—193 195 201- 208 218—220 718—722
Linear equations, rules for solution 720—722
Linear equations, systems in two unknowns 722—724
Locks at the base 2 269—271
Locks of fractions, negative 273 280
Locks, calculation of 2 75—278
Locks, characteristic 280
Locks, common 271—280
Locks, mantissa 281
Locks, rules for operations with 274—275 282 749—753
Locks, see combinations 356—359
Locks, tables 749—755
Logarithms 264—294 717 749—755
Logarithms, applications of, to 281 294
Logarithms, Compound interest 283—285
Logarithms, Depreciation. 292—294
Magnification of angle of vision 477
Magnitude of starlight 289—292
Mass 633 635
Mathematical expectation 349—350
Maximum 574 577 579 581 582
Mean, arithmetic 579—580 710
Measure of angle 402—403
Measure of area, unit of 525
Measure of eyesight 475
Measure of volume, unit of 541
Measurement of noise 287—289
Mechanics 609—640 678—704
Metric system, lengths 68
Million 51—52
Million times 53 69
Minimum 573 579 581—582
Missing numerals, problems with 142 149
Molecule, dimensions of 69—70
Mortgages 243—245
Motion along a circle 628
Motion uniform 615 621
Motion uniform, equation of 621
Motion, accelerated 622
Motion, amount of 634—635 646
Motion, equation of 625
Motion, uniformly accelerated 622—626
Multiplication 22—23 25—27 29 108 110—111 127—133 145 163-166 209—223 707—709
Multiplication by complements 130—132 165 209 223
Multiplication in various systems of numeration 22—23 25—27
Multiplication of approximate numbers 108 110 111
Multiplication of fractions 709
Multiplication of polynomials 707—708
Multiplication of signed numbers 163 706
Multiplication, rapid 127—133 164—166 209-223
Multiplication, restoration of missing numerals 145
MUSIC 285—287
Music, Price mark-up 281—283
Music, tempered scale 285—287
Myriad, see Archimedes 59—60 74
Napier, John 119 265—266 269 272
Napier’s rods 117—121
Napier’s rods, calculating machine 120
Napier’s rods, multiplication with 118
Needle problem of Count Buffon 350—353
Negative exponents 67 176
negative numbers 158—163
Newton 628 640
Newton’s law of universal gravitation 640
Normal vision 475 485
Notch 1 2 11
Now, coordinate of 612
NUMBER 9 999 38 10 001 37 10 101 37 99 999 38 111 111 38 142 857 45—47 999 999 38
Number curiosities 39—45 48—50 166- 170
Number curiosities, analyzed 40—42 166—170
Number of electrons in the universe 73
Number scale, directed 161 516—517
Number system of Archimedes 59—60
Number tricks 150—157
Number, absolute value 159 161
Number, negative 158—163
Number, positive 158—163
Number, property of 31—47 2 31 5 31 9 31 12 32—33 99 34 365 34 999 35 1 001 36
Numbers with repeated digits 43—45
Numbers, approximate 103—104 106 108—112
Numbers, directed 158—163 706
Numbers, memorization of 126—127
Numbers, operations with 706
Numerals 3—7
Numerals, Babylonian 4
Numerals, Chinese 5—6
Numerals, Egyptian 4
Numerals, Greek 7
Numerals, Hebrew 7
Numerals, letter 6—7 127 134—137
Numerals, missing and restoration of 142—14
Numerals, Roman. 4—5
Numerals, Tatar 3
Numeration, Chinese, Je — Kim 15
Numeration, code writing, application to 94—96
Numeration, decimal 9—10 32
Numeration, five 9—10 18 25
Numeration, puzzles and tricks 137—141
Numeration, systems of 9—33 94—96 137—142
Numeration, three 16—17 25
Numeration, twelve 18 27 32—33
Numeration, two 12—14 25
Numeration, unitary 11
Numeration, weight problems 141—142
Odds 343—345
| One dimension 378
Orbit 626—628
Origin of coordinates 379 392—393
Origin of coordinates, moving of 393
Paper folding 429—430
parabola 413—415 419 515 519 625—626
Parabola, equation of 414
Parabola, graph of 419
Parabola, relation to circle 515 519
Parabola, time line 625—626
Parallel lines 495 500 503 518 591 729
Parallel lines and infinity 518
Parallel lines, transversal to 591
Parallelogram 505 527
Parallelogram, area 527
Past, representation of 613
Path of projectile 650 653 656 660 685
Percent 225—228
Percentage, three cases of 226—227
Perpendicular lines 398 500
Physical relations, table 635
Physics 609—640 678—704
Pi 352 458—459 468 513—514
Pi in probability 352
Pi , calculation of 513
Plane, properties of 522
Point-world 377
Polygons, regular 738—739
Polyhedra 739—743
Polyhedra, areas of surfaces 742—743
Polyhedra, descriptions of 739—741
Polyhedra, volumes 742—743
Power 635
Power, operations with 712—713
Present, representation of 613
Prism, volume of 542 544—545
probability 329—353
Probability, addition 340—342
Probability, coincidence 333 337 342—343 348- 349
Probability, dice 342—343
Probability, measure of 330—333
Probability, multiplication of 335—336
Probability, odds 343—345
Problems with missing numerals 134 137
Proportion 424—426 549—550 555-558 710
Protractor 430
Pyramid, volume 552
Pythagoras, generalization 497—498
Pythagoras, Theorem of 383—385 496- 498 733
Quadrangle 500 729—730 733
Quadratics equations 674—675 724—727
Quadratics equations, roots 724—727
Quadrilateral 500
Radius of circle 394
Railroad timetable, graph of 613
Raising to a power, see exponents 173 177 266—269 711
Rate of compounded growth 303—305
Rate of continuous depreciation 311 313
Rate, problems in 199—201 203—207
ratio 423 425
Recoil of gun 646—648
rectangle 108 501—502 526
Rectangle, area 108 526
Rectangle, diagonals 502
Reflection of light, property of 437
Restoration of missing numerals 142 149
Restoration of missing numerals, addition 143 144
Restoration of missing numerals, construction of problems 147—149
Restoration of missing numerals, division 146
Restoration of missing numerals, multiplication 145
Restoration of missing numerals, subtraction 144
Rhombus 502 733
Rhombus, diagonals 502
Rifling of the gun barrel 665
Roots 218—221 282 385—386 711-715
Rule for creating worlds of any number of dimensions 523
Rules for signs in operations with directed numbers 161—163
Screw-curve on a cylinder 598 600
Secant of circle 603
Shortest distances 585—608
Sides, number of, four-dimensional cube (cuboid) 562
Sides, number of, in five-dimensional cube 562
Sides, number of, square 561
Sides, number of, straight line 560
Sides, number of, three-dimensional cube 561
Signed numbers 158—163 706
Signed numbers, operations with 706
Significant, digits 108—110
Signs 705
Similarity of triangles 422 424—425 548—549
Sine law 747
Sine ratio 403 744
Sine ratios, table 764—765
Small loans, interest on 240—243
Small numbers 65—67
Solid geometry 538—563 585—608
Solution of triangles 453—455 745 747
Speed 620
speed of light 71 73
Sphere 412 546—547 554 605—608 743
Sphere, area of surface 554
Sphere, equation of four-dimensional 412
Sphere, equation of ten-dimensional 412
Sphere, equation of three-dimensional 412
Sphere, great circle 605
Sphere, shortest route on 606—608
Sphere, volume 546—547
Spinning top 664
Spiral screw 603
Square 384 501
Square root 218—221 385—386 714-715
Square root, concept of 385—386
Square root, extraction of, approximate methods 218—221
Square root, numerical extraction 714—715
Square roots of numbers, table 758—762
Square unit of measure 525
Square, area 384
Square, diagonals 501
Square, properties of 384
Squares of numbers, table 753 756—757
Straight line, equation of 374—376
Straight line, graph of 375
Straight line, properties of 378
Straight line, shortest distance, along a 586
Subtraction in various systems of numeration 20—21 29
Subtraction of approximate numbers 110—111
Subtraction of fractions 709
Subtraction of signed numbers 161 706
Subtraction, restoration of missing numerals 144
Sum of interior angles of a polygon 514—515
symbols 705
Tables of Addition for various systems of numeration 24—27
Tables of American Experience Mortality 347
Tables of Logarithms of numbers 749—755
Tables of Multiplication for various systems of numeration 24—27
tabulation 1—2
Tangent Law 747
Tangent ratio 399—405 744
Tangent ratios, table 768—769
Tangent to circle 481 603 736
Tangent to sphere 481 604
Target distance 663
Temperature, absolute 159—160 702
Temperature, centigrade 158—160 180—181
Temperature, Fahrenheit 138 158—160 320—324
Test for odd and even numbers 28—30
Three dimensions 387—388
Three-system of numeration 16—17 25
Time 609 635
Time coordinate 610
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