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| Kisacanin B. — Mathematical problems and proofs. Combinatorics, Number theory, and Geometry |
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| Предметный указатель |
Numbers, real 3
Numbers, transcendental 16
Numbers, transfinite 12
Numerals, Hindu — Arabic 44
Numerals, Roman 44
On the Sphere and Cylinder 140
Opticks 202
Oracle at Delos 160n
Ordered pair 7
orthocenter 130 137 138
Pappus 149
Papyrus 191
Partition of a set 6 15
Partition of an integer 41
Pascal 109n 167
Pascal’s criterion 100
Pascal’s formula 35 38 47
Pascal’s triangle 36 38
Pauli’s principle 63
Peano 167
Perfect numbers 115
Permutations with repetition 31
Permutations without repetition 31
Phidias 5 1 197
photons 62
Platonic solids 196
Plimpton 322 120
Polya 81
Polya’s problem 152
Polynomial formula 67
Poncelet 138
Power set 6
PRIMES 11 25 79
Principia 202
Principle, Dirichlet’s 22 53
Principle, Fermat’s 109n 140
Principle, inclusion-exclusion 21 41
Principle, Pauli’s 63
Pseudoprimes 97 113
Ptolemy 157
Ptolemy’s theorem 157
Pyramids 108
Pythagoras 16 75 107
Pythagorean 107 119 120 145
Pythagorean numbers 75 107 108
Pythagorean Theorem 107 120 145
Pythagoreans 16
Quotient 76
Rabbits 44
Rademacher 41
Ramanujan 41
Red paint 27
Reduced residue system 95 96
Regular polygons 81 160
Regular polyhedra (Platonic solids) 196
Relation 8 69
Relation, equivalence 8 94
Relation, order 9
Remainder 76
Residue classes 34 77
Rhind papyrus 191
Roots of a polynomial 16n
RSA code 75
Seals 23
Set 3
Set, complement 5
Set, countable 12
Set, difference 5
Set, elements 3
Set, finite 11
Set, infinite 11
| Set, integers 3 12
Set, intersection 4
Set, natural numbers 3 11
Set, power 6
Set, primes 11
Set, symmetric difference 5
Set, uncountable 12
Set, union 4
Sieve of Eratosthenes 79
Simson 45 121 148
Simson’s line 148
Squaring a circle 160 193n
Steiner — Lagrange law 134—136
Stewart’s theorem 121 125 126 132 135
Stifel 38
Stirling’s formula 41 61
Subset 3 4
Sum of divisors  see “Important functions”
Sun-Tsu 106
Sunflowers 45
Surjection 10
Sylvester 41 138
Sylvester’s formula 41
Tartaglia 39 160
Taylor series 71 194
The Method 140 202
Theorem, Archimedes’ 131
Theorem, binomial 26 35—39 45 46 57 60 67 99
Theorem, Brianchon — Poncelet’s 91
Theorem, Cayley’s 68
Theorem, Ceva’s 128 146
Theorem, Chinese remainder 106
Theorem, converse Ceva’s 129 146
Theorem, division 76
Theorem, Euclid’s on primes 11 80 167
Theorem, Euler’s 17 42 49 54 96 102 128 139 156 157 185 194 195
Theorem, Fermat’s last 109
Theorem, Fermat’s lesser 60 96 99
Theorem, Feuerbach’s 197
Theorem, Fundamental Th. of Algebra 203
Theorem, Fundamental Th. of Arithmetic 82
Theorem, Gauss’ 81
Theorem, Godel’s 13
Theorem, Hamilto — Sylvester’s 138
Theorem, Jacobi’s 134 139
Theorem, Lame’s 88
Theorem, law of cosines 120
Theorem, law of sines 120
Theorem, Leibniz’s 132
Theorem, polynomial 67
Theorem, Ptolemy’s 157
Theorem, Steiner — Lagrange law 134—436
Theorem, Stewart’s 121 125 126 132 135
Theorem, Wilson’s 97
Torricelli 141
Towers of Hanoi 65 66
Transfinite numbers 12
Trees 68
Trisecting an angle 160 193n
Tsu Chung-Chi 191
Uncountable set 12
Vandermonde’s determinant 111
Vandermonde’s formula 172
Vegetarians 14
Viete 192
Wallis’ formula 192
White plane 27
Wiles 110
Wilson’s Theorem 97
Zeros of a polynomial 16
“Heureka!” 201
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