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Birkhoff G.D., Beatley R. — Basic Geometry |
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Предметный указатель |
Proposition (s), opposite 246—247 249—251
Proposition (s), opposite converse 247 252
Proposition (s), original 100
Proposition (s), restricted to plane figures 5 39
Protractor 46 165—172
Pythagorean Theorem 90—98
Quadrilateral (s) 56
Radical axis 262—263
RADIUS 15 133 136
Radius of regular polygon 204
Reasoning in disputes 9—11 268
Reasoning in non-mathematical situations 9—36 161—163 268—283
Reasoning, begging the question 31 32 280
Reasoning, common errors in 29—32
Reasoning, deductive 273—277
Reasoning, necessity for logical 12
Reasoning, non-sequitur 29
Rectangle(s) 118 199 222
Rectangular network 118—123
Reductio ad absurdum 35
Refutation 35
Regular polygons 85 133—159 170—172 190—196 210—212
Regular polyhedrons 188—189 196 202 219—220
respectively 14
Rhombus 118
Right angle 50
right triangle 84 85—86 90—93
Right triangle, 30°-60° 96
Ruler 40 60 165 280
SCALE 40 60 165 280
Secant 137 151
Sector 213 225
Segment, line 44 166—170 176—178 192
Semicircle 134
Side(s) of angle 46
Side(s) of polygon 55
Similar 105
Similar figures 57
Similar polygons 57 205—206
Similar right triangles 85
Similar triangles, Case 1 58—60
Similar triangles, Case 2 72—75
Similar triangles, Case 3 78—80
Skew lines 130
slope 120—123
Solid geometry 5 39 61 75 82 101—102 129—130 160—161 188—189 196 202 206—207 215—217 219—220 243—245 250—252 260—261 263—266
Solids five regular 188—189 196 202 219—220
Square 118 199 222
Starred exercises 5 52
Straight angle 46 50
Straight line 39
Straightedge 60 165—196
summaries 67—68 98—99 130—131 156 220—221
Superposition 3
| Symbols, 21
Symbols, 200
Symbols, <, > 34 285
Symbols, = , +, 285
Symmetry 124—126
System of parallels 108 110 111 118
System, logical 12 35—36 106 268—270 273—274 280—283
Tangent 138 151 183—185
Tangent, circles 143
Tangent, common external 144 184—185
Tangent, common internal 144 184—185
Theorem(s) 19
Theorem(s), listed in summaries 98—99 130—131 156 220—221
Theorem(s), seven basic 71—93 107
Theorem(s), various forms of stating 22 27—29
Transversal 109—113
trapezoid 115—116 202
Triangle(s) 38 56
Triangle(s), acute 84
Triangle(s), altitude of 74
Triangle(s), area of 200—201 222
Triangle(s), base of 245
Triangle(s), can be reproduced 59
Triangle(s), centroid of 259
Triangle(s), circumcenter of 255
Triangle(s), construction of 185—188
Triangle(s), equal ("congruent") 59 80
Triangle(s), equiangular 77
Triangle(s), equilateral 77
Triangle(s), incenter of 256
Triangle(s), isosceles 75—77
Triangle(s), median of 259
Triangle(s), obtuse 84
Triangle(s), orthocenter of 259
Triangle(s), right 84 85—86 90—93 96
Triangle(s), similar, Case 1 58—60
Triangle(s), similar, Case 2 72—75
Triangle(s), similar, Case 3 78—80
Triangle(s), spherical 61 75 82
Triangle(s), sum of angles of 82—85
Triangle(s), sum of two sides of 94
Triangle(s), the vertex of a 245
Trisection of an angle 166 171 189—190 195
Truth 18 19 23 29 277—278
Truth of converse 26 27
Undefined terms 12 13 17 25 38 39 280—283
Undefined terms, list of 39 281 285
Unit of angle measure 46 49—50 52—53
Unit of area 199 222
Unit of length 40—42 199
Vertex, vertices of a polygon 55
Vertex, vertices of a triangle 245
Vertex, vertices of angle 46
Vertical angle 52
Volume 206—207 216—217
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