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| Schubert H. — Mathematical essays and recreations |
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| Предметный указатель |
 117 127 138
 115
Abstraction 95
Academy, French 112
Addition 76
Addition, associative law of 10
Addition, commutative law of 9
Ahmes 122
Alchwarizmi, Muhammed Ibn Musa 131
Algebraic curves, theory of 35
Alhaitam, Ibn 131
Analytical geometry 67
Anaxagoras 123
Antiphon 125
Apollonius 27 34
Approximation, constructions of 137
Arabs, magic squares of 42
Arabs, squaring of the circle among 128
Archimedes 27 113 117 126
Arithmetic 36
Arithmetic, monism in 8—26
Arithmetic, pure 8
Aryabhatta 129
Association, laws of 18
Associative law of addition 10
Augend 10
Axioms, Euclid's 79
Aztecs 5 73
Babylonians, squaring of the circle among 122
Bacteriology 36
Basselin 136
Beman, W.W. 143
Bhaskara 129
Bible, speaks of four dimensions 106
Bible, squaring of the circle in the 123
Bischoff, Professor 136
Boehm 137
Bolyai 37 79
Bovillius 132
Brahmagupta 130
Brouncker, Lord 138
Bryson 125
Cagliostro 102
Calculus, differential 29
Cardan 13
Cards, problem at 51
Chemistry 37
Chemistry, application of the idea of multi-dimensioned space to theoretical 88
Chess-knight, magic squares that involve the move of the 57
Chinese 130
Chinese, squaring of the circle among 128
Christian nations, squaring of the circle among 128
Cipher 13
Circle-squarers 113
Circumversion, congruence by 81
Clairvoyance 103
Clavius 133
Clebsch, Alfred 35
Clerget 136
clocks 4
Commutation 15—18
Commutative law of addition 9
complex numbers 24 35
Concentric magic squares 55
configurations 88
Congruent figures 80
Conic sections 34
Construction, problems of 118
Continuous functions 28
Copernicus 94
Corsonich, Lieutenant Colonel 136
Counting 1 9 72
Cranz 65 101
Culvasutras 129
Cumberland 111
Curvature of space 85
Curvature, negative 81
Curvature, positive 81
Curvature, zero 82
Cyclometry 127
Dase, Zacharias 139
Davis, the American visionary 102
De Cusa, Nicolas 131
De la Hire 45 46 51 53
de Meziriac, Bachet 45 46
De Morgan 41 113 140 141
De Serres, Oliver 136
Definitional formulae 11 21
Degree, numbers of 19
DEGREES 128
Depth 94
Descartes 67
Detraction 11
Difference 11
Differential forms 13 74
Dimension, concept of 65
Dinostratus 124
Displacement, congruence by 81
Distance of objects 96
Du Prel, Carl 105
Duerer, Albert 40 43 45
Dumas, Alexander 102
Duplication of the cube 30
Egyptians, the squaring of the circle among 122
Eisenlohr 29 122
Equations between x, y, and z 70
Ether 75
Etruscans 3
Euclid 28 37 78 126
Euclid's axioms 79—82
Euler 117 137
Evolution 20 21
Extension of notions in mathematics 75
Finaeus, Orontius 132
fingers 1
Fingers in reckoning 4
Five as a numeral basis 5
Foundation-principle 14
Four variable quantities 77
Four-dimensional point-aggregates 72
Four-dimensioned space, refutation of the existence of 89
Fourth degree, operation of 76
Fourth dimension, the 64—111
Fractional numbers, negative 18
Fractions 17
Functions, Theory of 35
Ganeca 129
Gauss 37 79 99
Geometry 37
Geometry, origin of 33
Glaukon 98
Grassmann 9
Greeks 3 13
Greeks, squaring of the circle among 115 122
Gregory of St. Vincent 133
Gregory, James 135 138
Gudian manuscript 128
Halley 139
Hamlet 41
hankel 9 14
Harmony of the spheres 63
Have, Mr. 101
Helmholtz 37 79
Hermite, Professor 142
Herodotus 33
Hesse 136
Hindus 13
Hindus, mathematical performances of the 128
Hindus, squaring of the circle among 128
Hippias 123 124
| Hippocrates 125
history 33
Hobbes 136
homer 84
Hugel 61
Hume 39
Huygens 135 136
imaginary numbers 23 35
Impossibility of demonstration 116
Increment 10
Infinitely great 19 85
Insoluble problems 30 143
Involution 19 21 76
Irrational numbers 23
Jones, W. 117
Kant 39 98
Kepler 34
Kircher, Athanasius 45
Klein, Felix 31 143
Knight, move of a 52
Knight-problem 58
Knots, experiment with the 103 105
Kochansky 61 137
kronecker 7 9
Lagny 139
Lambert 32 141
Law of association 15
legendre 80 141
Leibnitz 28 138
Leistner 136
Lessing 30
Liger 136
Limits 125
Lindemann 31 116 142
Livy 2
Lobachevski 37 79
Local value, Hindu system of 3
Logarithm, finding of the 20
Logarithmand 21
Longomontanus 133
Ludolf 137
Lunes of Hippocrates 126
Luther 101
Machin 139
Magic cubes 61
Magic squares 39—63
Magic Squares with magical parts 56
Magic Squares, concentric 55
Magic Squares, even-numbered 49
Magic Squares, odd-numbered 44
Magic Squares, problem and origin of 42
Magic Squares, that involve the move of the chess-knight 57
Magic Squares, whose summation gives the number of a year 53
Mathematical knowledge on the nature of 27—38
Mathematical knowledge, characteristics of 35
Mathematical knowledge, intrinsic character of 27
Mathematics 39
Mathematics, most conservative of all sciences 27
Mathematics, self-sufficiency of 32
Mathulon 136
Measuring 17
Mechanical instruments of geometry 120
Mechanics 38
Mediums 107
Melancholy 40 41
Merkel 136
Methods, discovery of 35
Metius, Peter 132 133
Mexico, ancient 3
Mill, J.S. 39
Milton 41
Minerva 3
Minus sign 11
Minutes 128
Models of three-dimensional nets 78
Monism in arithmetic 8—26
Monist, The 39
Moschopulus 45
Multi-dimensional magnitudes and spaces 67 77
Multiplication 15 77
Mysticism 39
N-dimensional totalities 69
Named number 6
Negative exponents 20 21
negative numbers 12 16 18 74
Newton 28 34 138
Nonius, Petrus 132
Notation, systems of 6
Number, abstract 7
Number, as the result of counting 9
Number, complex 24 35
Number, denominate 4
Number, forms of 14
Number, notation and definition of 1—7
Number-pictures and signs, natural 2
Number-words, natural 4
Numbering 6
Numbers, as symbols 7
numbers, imaginary 23 35
Numbers, irrational 23
Numbers, real 23
Numeral words 4
Numeral words in the Indo-Germanic tongues 5
Numeral words, compound 4
Numeral writing 2
Numerals, the formation of 5
Numeration 1
Numeri ficti 13
Numeri veri 13
Pappus 124
Parallels, theory of 28 79
Parting 17
Perception 95
Physics 8 33 38
Plato 39 98
Polygons, magical 59
Porta, John 133
Postulates 121
Powers 20
Prime numbers, problem of the frequency of 31
Principle of no exception 14
Prizes offered circle-squarers 116
Probabilities 141
Problems, fundamental 120
Problems, solvable with straight edge and compasses 142
Ptolemy 32 128 129
Pure arithmetic 8
Pythagoras 27 123 136
Quadratrix 124
Quadrature of the circle in Egypt 114
Quadrature of the circle, numerical 117
Quadrature of the circle, stands and falls with the problem of rectification 119
Quantities, four variable 77
Quantities, negative 12
Quaternions 25
Radicand 20
Rays 69
Real numbers 23
Rectification of the circle, numerical 117
Regiomontanus 132
Rhind papyrus 29 122
Riemann 37 79 100
Riese, Adam 45
Romans 3 73
Romans, squaring of the circle among 128
Romanus, Adrianus 133 134
Rudio 127 141
Sauveur 45 61
Scaliger, Joseph 133
Scheffler 45 46 59 61
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