Following the Rules
Introduction
Why Slide Rules?
Chapter Topics
1
Review of the Logarithm
1.1
Exponents and Powers
1.2
Logarithms and Log Scales
1.3
Multiplication and Division
1.4
Keeping Track of Decimal Places
1.5
Scientific Notation
1.6
Short Examples
1.7
Raising Numbers to Powers
1.8
Another Example
1.9
Change of Base
1.10
Summary Thus Far
2
Computing Logarithms
2.1
A Word About Bases
2.2
The Natural Logarithm
2.3
The Base of the Natural Logarithm
2.4
Computing Natural Logarithms
2.5
Computing Common Logarithms
2.6
Summary
3
Slide Rule ABC’s and D’s
3.1
Basic Multiplication and Division
3.2
Squares and Square Roots
3.3
Gauge Marks
3.4
Cubes and Cube Roots – the K Scale
3.5
The Log Scale – L
3.6
Inverse and Folded Scales
3.7
Trigonometric Scales
3.8
Log-Log Scales
3.9
Hyperbolic Trigonometric Scales
3.10
Special Rules and Scales
3.11
More Information
4
The Collection in Photos
4.1
Years 1800-1899
4.2
Years 1900-1909
4.3
Years 1910-1919
4.4
Years 1920-1929
4.5
Years 1930-1939
4.6
Years 1940-1949
4.7
Years 1950-1959
4.8
Years 1960-1969
4.9
Years 1970-1979
5
Slide Rule Makers
5.1
Aristo, Dennert & Pape, Germany
5.2
Blundell Rules Limited, UK
5.3
Charvoz-Roos, USA
5.4
Concise, Japan
5.5
Dietzgen, USA
5.6
Faber, Faber-Castell, Germany
5.7
Felsenthal, USA
5.8
Gilson, Richardson, USA
5.9
Hemmi, Japan
5.9.1
Exclusively Sun Hemmi
5.9.2
Made for Frederick Post Co., USA
5.9.3
Made for Others
5.10
Keuffel and Esser, USA
5.11
Koch, Huxhold and Hanneman, Germany
5.12
Kolesch and Company, USA
5.13
Lawrence / Engineering Instruments, USA
5.14
Nestler, Germany
5.15
Pickett, USA
5.16
Post, USA
5.17
Relay-Ricoh, Japan
5.18
Sterling, Acu-Rule, Festus, USA
5.19
Thornton, UK
5.20
Other Rules
5.21
Unidentified
5.22
Texas Instruments Slide Rule Calculator
6
Special Groupings
6.1
Most Recent Additions
6.2
Oldest Rules
6.3
Youngest Rules
6.4
Significant Rules
6.5
Specialty Slide Rules
6.6
Non-Linear and Long-Scale Rules
6.7
Numerous Scales
6.8
Pocket Rules
6.9
Vector Hyperbolic Rules
6.10
K&E Rules by Model
6.11
Post Rules by Model
6.12
Rules for Beginners
7
Books, Manuals, and Sheets
8
Vignettes
8.1
A Favorite Rule
8.2
Rules to the Moon
8.3
The Original 4083
8.4
K&E Beginner’s Rules
8.5
America’s Earliest Slide Rule
8.6
The Early American Favorite
8.7
Rules of
Engrave
ment
8.8
Out of Proportions
8.8.1
Ratio Aspects
8.8.2
Specialty Rules
8.8.3
Special Chemistry
8.9
Stadia Rules
8.9.1
The Stadia Measurement
8.9.2
Horizontal Displacement and Vertical Rise
8.9.3
Stadia Slide Rule Scales
8.9.4
A Stadia Rule Example
8.9.5
Stadia Rule Variations
8.10
Power Rules
8.10.1
The Power of Logarithms
8.10.2
Roget’s Log-Log Scale
8.10.3
Creating a Log-Log Scale
8.10.4
Mixed-Base Log-Log Scales
8.10.5
Segmented Log-Log Scales
8.10.6
Reciprocal Log-Log Scales
8.10.7
Examples of Circular Log-Log Scales
8.10.8
Applications and Examples
8.11
Fermi’s Golden (Slide) Rule
8.12
Rule Change 4092-3
8.13
An Early Home-Made Spring Calculation Slide Rule
8.13.1
R. K. Baetzmann
8.13.2
Spring Calculations
8.13.3
The Scale Set
8.13.4
Comments on Accuracy
8.13.5
Final Remarks
8.14
Spring Calcs Eternal
8.14.1
The Sandish Scale
8.14.2
The Baetzmann Slide Rule
8.14.3
Spring Rule Makers
8.15
The Long and Short of It
8.16
A Boykin Discovery
8.17
A K&E Rule of Mystery
8.18
Lt. Shaw’s 4097D
8.19
Helical Slide Rules
8.19.1
The Otis King
8.19.2
The Fuller Calculator
8.20
Getting to the Root
8.21
British Thornton Special Scales
8.21.1
Differential Trig Scales
8.21.2
The Sd and Td Scales
8.21.3
The ISd and ITd Scales
8.21.4
Pythagorian Scales
8.22
Vector/Hyperbolic Calculations
8.22.1
Phasor Diagrams
8.22.2
Hyperbolic Trigonometric Functions
8.22.3
Connections to Standard Trigonometric Functions
8.22.4
Multiplication of Complex Numbers
8.22.5
Functions of Complex Numbers
8.22.6
A Vector Calculation on a Slide Rule
8.22.7
Trig in Polar Coordinates
8.23
Hemmi 153 Scales
Appendices
A
Short Slide Rule History
B
Common Slide Rule Scales
C
Collection Scale Sets
C.1
Distinct Scale Sets
C.1.1
Front Scales
C.1.2
Back Scales
C.2
Scale Set of Each Rule
D
Some Collection Statistics
E
Searchable Table
F
Collection Data Sheets
F.1
Data Sheet 1
F.2
Data Sheet 2
F.3
Data Sheet 3
F.4
Data Sheet 4
F.5
Data Sheet 5
F.6
Data Sheet 6
F.7
Data Sheet 7
F.8
Data Sheet 8
F.9
Data Sheet 9
F.10
Data Sheet 10
F.11
Data Sheet 11
F.12
Data Sheet 12
F.13
Data Sheet 13
F.14
Data Sheet 14
F.15
Data Sheet 15
F.16
Data Sheet 16
F.17
Data Sheet 17
F.18
Data Sheet 18
F.19
Data Sheet 19
F.20
Data Sheet 20
F.21
Data Sheet 21
F.22
Data Sheet 22
F.23
Data Sheet 23
F.24
Data Sheet 24
F.25
Data Sheet 25
F.26
Data Sheet 26
F.27
Data Sheet 27
F.28
Data Sheet 28
F.29
Data Sheet 29
F.30
Data Sheet 30
F.31
Data Sheet 31
F.32
Data Sheet 32
F.33
Data Sheet 33
F.34
Data Sheet 34
F.35
Data Sheet 35
F.36
Data Sheet 36
F.37
Data Sheet 37
F.38
Data Sheet 38
F.39
Data Sheet 39
F.40
Data Sheet 40
F.41
Data Sheet 41
F.42
Data Sheet 42
F.43
Data Sheet 43
F.44
Data Sheet 44
F.45
Data Sheet 45
F.46
Data Sheet 46
F.47
Data Sheet 47
F.48
Data Sheet 48
F.49
Data Sheet 49
F.50
Data Sheet 50
F.51
Data Sheet 51
F.52
Data Sheet 52
F.53
Data Sheet 53
F.54
Data Sheet 54
F.55
Data Sheet 55
F.56
Data Sheet 56
F.57
Data Sheet 57
F.58
Data Sheet 58
F.59
Data Sheet 59
F.60
Data Sheet 60
F.61
Data Sheet 61
F.62
Data Sheet 62
F.63
Data Sheet 63
F.64
Data Sheet 64
F.65
Data Sheet 65
F.66
Data Sheet 66
F.67
Data Sheet 67
F.68
Data Sheet 68
F.69
Data Sheet 69
F.70
Data Sheet 70
F.71
Data Sheet 71
F.72
Data Sheet 72
F.73
Data Sheet 73
F.74
Data Sheet 74
F.75
Data Sheet 75
F.76
Data Sheet 76
F.77
Data Sheet 77
F.78
Data Sheet 78
F.79
Data Sheet 79
F.80
Data Sheet 80
F.81
Data Sheet 81
F.82
Data Sheet 82
F.83
Data Sheet 83
F.84
Data Sheet 84
F.85
Data Sheet 85
F.86
Data Sheet 86
F.87
Data Sheet 87
F.88
Data Sheet 88
F.89
Data Sheet 89
F.90
Data Sheet 90
F.91
Data Sheet 91
F.92
Data Sheet 92
F.93
Data Sheet 93
F.94
Data Sheet 94
F.95
Data Sheet 95
F.96
Data Sheet 96
F.97
Data Sheet 97
F.98
Data Sheet 98
F.99
Data Sheet 99
F.100
Data Sheet 100
F.101
Data Sheet 101
F.102
Data Sheet 102
F.103
Data Sheet 103
F.104
Data Sheet 104
F.105
Data Sheet 105
F.106
Data Sheet 106
F.107
Data Sheet 107
F.108
Data Sheet 108
F.109
Data Sheet 109
F.110
Data Sheet 110
F.111
Data Sheet 111
F.112
Data Sheet 112
F.113
Data Sheet 113
F.114
Data Sheet 114
F.115
Data Sheet 115
F.116
Data Sheet 116
F.117
Data Sheet 117
F.118
Data Sheet 118
F.119
Data Sheet 119
F.120
Data Sheet 120
F.121
Data Sheet 121
F.122
Data Sheet 122
F.123
Data Sheet 123
F.124
Data Sheet 124
F.125
Data Sheet 125
F.126
Data Sheet 126
F.127
Data Sheet 127
F.128
Data Sheet 128
F.129
Data Sheet 129
F.130
Data Sheet 130
F.131
Data Sheet 131
F.132
Data Sheet 132
F.133
Data Sheet 133
F.134
Data Sheet 134
F.135
Data Sheet 135
F.136
Data Sheet 136
F.137
Data Sheet 137
F.138
Data Sheet 138
F.139
Data Sheet 139
F.140
Data Sheet 140
F.141
Data Sheet 141
F.142
Data Sheet 142
F.143
Data Sheet 143
F.144
Data Sheet 144
F.145
Data Sheet 145
F.146
Data Sheet 146
F.147
Data Sheet 147
F.148
Data Sheet 148
F.149
Data Sheet 149
F.150
Data Sheet 150
F.151
Data Sheet 151
F.152
Data Sheet 152
F.153
Data Sheet 153
F.154
Data Sheet 154
F.155
Data Sheet 155
F.156
Data Sheet 156
F.157
Data Sheet 157
F.158
Data Sheet 158
F.159
Data Sheet 159
F.160
Data Sheet 160
F.161
Data Sheet 161
F.162
Data Sheet 162
F.163
Data Sheet 163
F.164
Data Sheet 164
F.165
Data Sheet 165
F.166
Data Sheet 166
F.167
Data Sheet 167
F.168
Data Sheet 168
F.169
Data Sheet 169
F.170
Data Sheet 170
F.171
Data Sheet 171
F.172
Data Sheet 172
F.173
Data Sheet 173
F.174
Data Sheet 174
F.175
Data Sheet 175
F.176
Data Sheet 176
F.177
Data Sheet 177
F.178
Data Sheet 178
F.179
Data Sheet 179
F.180
Data Sheet 180
F.181
Data Sheet 181
F.182
Data Sheet 182
F.183
Data Sheet 183
F.184
Data Sheet 184
F.185
Data Sheet 185
F.186
Data Sheet 186
F.187
Data Sheet 187
F.188
Data Sheet 188
F.189
Data Sheet 189
F.190
Data Sheet 190
F.191
Data Sheet 191
F.192
Data Sheet 192
F.193
Data Sheet 193
F.194
Data Sheet 194
F.195
Data Sheet 195
F.196
Data Sheet 196
F.197
Data Sheet 197
F.198
Data Sheet 198
F.199
Data Sheet 199
F.200
Data Sheet 200
F.201
Data Sheet 201
F.202
Data Sheet 202
F.203
Data Sheet 203
F.204
Data Sheet 204
F.205
Data Sheet 205
F.206
Data Sheet 206
F.207
Data Sheet 207
F.208
Data Sheet 208
F.209
Data Sheet 209
F.210
Data Sheet 210
F.211
Data Sheet 211
F.212
Data Sheet 212
F.213
Data Sheet 213
F.214
Data Sheet 214
F.215
Data Sheet 215
F.216
Data Sheet 216
F.217
Data Sheet 217
F.218
Data Sheet 218
F.219
Data Sheet 219
F.220
Data Sheet 220
F.221
Data Sheet 221
F.222
Data Sheet 222
F.223
Data Sheet 223
F.224
Data Sheet 224
F.225
Data Sheet 225
F.226
Data Sheet 226
F.227
Data Sheet 227
F.228
Data Sheet 228
F.229
Data Sheet 229
F.230
Data Sheet 230
F.231
Data Sheet 231
F.232
Data Sheet 232
F.233
Data Sheet 233
F.234
Data Sheet 234
F.235
Data Sheet 235
F.236
Data Sheet 236
F.237
Data Sheet 237
F.238
Data Sheet 238
F.239
Data Sheet 239
F.240
Data Sheet 240
F.241
Data Sheet 241
F.242
Data Sheet 242
F.243
Data Sheet 243
F.244
Data Sheet 244
F.245
Data Sheet 245
F.246
Data Sheet 246
F.247
Data Sheet 247
F.248
Data Sheet 248
F.249
Data Sheet 249
F.250
Data Sheet 250
F.251
Data Sheet 251
F.252
Data Sheet 252
F.253
Data Sheet 253
F.254
Data Sheet 254
F.255
Data Sheet 255
F.256
Data Sheet 256
F.257
Data Sheet 257
F.258
Data Sheet 258
F.259
Data Sheet 259
F.260
Data Sheet 260
F.261
Data Sheet 261
F.262
Data Sheet 262
F.263
Data Sheet 263
F.264
Data Sheet 264
F.265
Data Sheet 265
F.266
Data Sheet 266
F.267
Data Sheet 267
F.268
Data Sheet 268
F.269
Data Sheet 269
F.270
Data Sheet 270
F.271
Data Sheet 271
F.272
Data Sheet 272
F.273
Data Sheet 273
F.274
Data Sheet 274
F.275
Data Sheet 275
F.276
Data Sheet 276
F.277
Data Sheet 277
F.278
Data Sheet 278
F.279
Data Sheet 279
F.280
Data Sheet 280
F.281
Data Sheet 281
F.282
Data Sheet 282
F.283
Data Sheet 283
F.284
Data Sheet 284
F.285
Data Sheet 285
F.286
Data Sheet 286
F.287
Data Sheet 287
F.288
Data Sheet 288
F.289
Data Sheet 289
F.290
Data Sheet 290
F.291
Data Sheet 291
F.292
Data Sheet 292
F.293
Data Sheet 293
F.294
Data Sheet 294
G
Data Frame Properties
Site Tips
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About the Author
References
Published with bookdown
Following the Rules —
A Slide Rule Collection
C.2
Scale Set of Each Rule
The table below is ordered by
Maker
, then by
Model
, then by
Year
.