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Friberg J. — Unexpected Links Between Egyptian And Babylonian Mathematics |
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Предметный указатель |
table 29 32 211
and tables 165 211
'Since he said' 206
'Since it was said to you' 206
2/n table 29 96 144 150
Algorithm, doubling and halving 18
Algorithm, trailing part 8
Almost round area numbers 51 52 53 56 114
Basket, area of semicircle 78
Bread rations of various sizes 63 66
Buying and selling exercise 217 218
Circle area rule, Babylonian 42
Circle area rule, demotic 123 127 131 142
Circle area rule, Greek 195 198
Circle area rule, hieratic 40 42 44 85 98
Circle constants 42
Circle segment (corrupt text) 133
Circle segment area rule see "Segment area rule"
Circle segments, constants 134
Circle, given area, unknown diameter 122
Circle-and-chord problem 138 139 141
Circles and a segment of a circular band 196
Circular bands, concentric 197
Combined baking number 60
Combined market rate 60 103 207 214
Combined work norm 69 70
Completing the square 208
Completion problem 27 29 96 106 112
Cone ("log") 142 143 211
Cone (mast) 142
Cone (storeroom) 211
Cone (water clock) 195
Cone, truncated 234 242 262
Corrupt text 30 37 44 133 153
Cylindrical vessels, content 86 88 206
Division problem, applied 25 35 36
Division problem, repeated 30 32 33 102 204
Division problems 28 30 109
Doubling and halving algorithm 18 22
Drawing of basket (semicircle?) 79
Drawing of birectangle 230
Drawing of circle 42 85 98
Drawing of circle and square 41
Drawing of circles, etc. 197
Drawing of equilateral triangle in circle 128 130
Drawing of pyramid and cone 58
Drawing of rectangles and trapezoid 167
Drawing of rectangular field 157
Drawing of rectangular field, schematic 158
Drawing of rectangular granary 44
Drawing of square in circle 131 135
Drawing of striped trapezoids 175ff
Drawing of striped triangle 45ff 49
Drawing of trapezoid 52 72
Drawing of trapezoids, nonsymmetric 221ff
Drawing of triangle in circle 139
Drawing of triangular pyramids 234
Drawing of truncated pyramid 76
Drawing of upright triangles 238
Elements I, 39, 41 193
Elements I, Definitions 193
Elements I, essay on 193
Elements II, exercises 193
Elements XIII, 10, 16 193
Equilateral triangle in a circle 126 129
Equilateral triangle, area 127 129 156 237 238
Equilateral triangular base of pyramid 235
Equipartitioned trapezoid 181 188
Fractions, counting with 150ff
Fractions, operations with 212ff
Granary, cylindrical 85
Granary, rectangular 211
Granary, repeated division problem 33
Granary, square and circular 44
Height of unsymmetric triangle 224
Icosahedron, outer shell 236
Iterated sum of 10 first integers 145
Land survey, eight fields 194
Land survey, four fields 159 194
Land survey, one field 162
Linear equations 174
Linear equations, four metals 67 168
Linear equations, iron and gold 67 170
Linear equations, system of 68 170
| Linear equations, systems of 173 200ff
Many-digit decimal numbers 90
Metric algebra, area and diagonal 125 126
Metric algebra, area and side ratio 73 115
Metric algebra, diagonal and side ratio 81
Metric algebra, expanded rectangle 57
Metric algebra, quadrilateral 160
Metric algebra, rectangle 136 221
Metric algebra, reshaping a rectangle 110 115 120
Metric algebra, striped triangle 45f 54
Metric algebra, trapezoid 72 115
Metric algebra, triangle 71
Multiplication algorithm, explicit 149
Multiplication rule 149
Multiplication table, times 64 149
Non-symmetric trapezoids 221
Non-symmetric trapezoids, birectangle 40 226
Orientation of circular segment 128
Original length of a reed 117 144 208
Outline of text 61 95 98 100 101 249
Plimpton 322 82 93 155
Pole against a wall 107 108
Powers of 2, 64 23
Prices and market rates 61 68 214 215
Progression, 10 brothers 37
Progression, 10 terms 89
Progression, 30 terms 14 21
Progression, 4 brothers 122
Progression, 4 terms (tgs?) 121
Progression, 5 brothers 38
Progression, arithmetic, 5 persons 39
Progression, geometric, sum of 2 11 12
Progression, quasi-arithmetic, 5 brothers 38
Progression, sum of, 7 brothers 9
Pyramid and cone? seked 58
Pyramids and cones 76 233ff 249
Quadratic-linear system of equations 81 83 84 206
Quadrilateral area rule 157 159 160 165
Quadrilateral area rule, general 161
Quadrilateral, schematic 158 194
Quasi-cube table 148
Reciprocal of 1 + 1/n 143
Reciprocal of 1 - 1/5 117
Reciprocal of 1 - 1/6 117
Reshaping a rectangle 120
Reshaping a rectangular cloth 115
Ridge pyramid, volume of 77 245
Right triangles, problems 220
Segment area rule 129ff 133 139 199
Semi-regular square sides 156
Semicircle (basket), area of 78
Semicircle, constants 80 81
Semicircle, problem for a 80
Series of exercises 251
Sharing problems 29
Square in a circle 131 135
Square side rule 155
Striped trapezoids 174ff 188
Striped triangle 45 48 49 98 102 181
Sum of 10 first square numbers 10
Symmetric trapezoid 225
Table Of Contents 27 69 106 208 234
Table of contents and outline of the text 61 95 98 249
Table of powers 6
Table of powers, descending 7
Tables for reed measure 163
Tables of fractions 210
Tabular array, combined market rate 207
Tabular array, combined work norm 70
Tabular array, cost of excavation 206
Tabular array, quadratic-linear equations 84
Tabular array, sheep and lambs 207
Tabular array, systems of linear equations 200ff
Tabular array, unequal shares 207
Thousand-cubit-strip 40 158
Trailing part algorithm 8
Trapezoid with vertical transversals 182ff
Truncated cone 234 264
Truncated pyramid, square 74 234 243
Truncated pyramid, triangular 234
Truncated pyramid, with ridge 252
Unequal sharing, gold, silver, lead 67
Unequal sharing, loaves 36ff
Work norm, volume of a ring wall 186
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