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"K&E Slide Rules"
"Deci-Lon"
"An Instruction Manual"
Copyright 1962
- Cover material
- Cover
- Inside cover ------------------------------------------------------------------------------------------- page i
- Copyright Page ---------------------------------------------------------------------------------------- page ii
- Deci-Lon Illustration ----------------------------------------------------------------------------------- page iii
- Foreword ----------------------------------------------------------------------------------------------- pages iv-vii
- Contents ----------------------------------------------------------------------------------------------- pages viii-x
- CHAPTER I - MULTIPLICATION AND DIVISION
- Part 1.
- 1. Introduction ---------------------------------------------------------------------------------- page 1
- 2. Reading the Scales --------------------------------------------------------------------------- page 1
- 3. Accuracy of the Slide Rule ------------------------------------------------------------------- page 4
- 4. Definitions ----------------------------------------------------------------------------------- page 5
- 5. Location of the decimal point ----------------------------------------------------------------- page 6
- 6. Multiplication --------------------------------------------------------------------------------- page 6
- 7. Either index can be used ---------------------------------------------------------------------- page 8
- Part 2.
- 8. Division -------------------------------------------------------------------------------------- page 9
- 9. Simple applications, percentage, rates -------------------------------------------------------- page 10
- 10. Use of the scales DF and CF (folded scales) ------------------------------------------------ page 12
- 11. Multiplication and division by pi using scales CF and DF ------------------------------------ page 13
- 12. Combined multiplication and division -------------------------------------------------------- page 15
- 13. Visual summary ----------------------------------------------------------------------------- page 16
- CHAPTER II - THE PROPORTION PRINCIPLE AND COMBINED OPERATIONS
- Part 1.
- 14. Introduction -------------------------------------------------------------------------------- page 18
- 15. Ratios and proportions --------------------------------------------------------------------- page 18
- 16. Use of Proportions ------------------------------------------------------------------------- page 18
- 17. Forming proportions from equations -------------------------------------------------------- page 22
- Part 2.
- 18. Equivalent expressions of quantity ---------------------------------------------------------- page 24
- 19. The DI, CI and CIF (reciprocal) scales ---------------------------------------------------- page 25
- 20. Proportions involving the reciprocal scales -------------------------------------------------- page 27
- 21. Combined operations involving the reciprocal scales ---------------------------------------- page 28
- 22. Reciprocal scales in electrical engineering calculations -------------------------------------- page 31
- 23. Visual summary ---------------------------------------------------------------------------- page 34
- CHAPTER III - SQUARES AND SQUARE ROOTS; CUBES AND CUBE ROOTS
- Part 1
- 24. Introduction -------------------------------------------------------------------------------- page 35
- 25. Sq1 and Sq2 scales; squares --------------------------------------------------------------- page 35
- 26. Area of a circle ---------------------------------------------------------------------------- page 37
- 27. Evaluation of simple expressions involving squares ------------------------------------------ page 38
- 28. Scales A and B; square roots -------------------------------------------------------------- page 39
- 29. Combined operations involving square roots ------------------------------------------------ page 41
- Part 2
- 30. K scale; cube roots ------------------------------------------------------------------------ page 42
- 31. Cubes, using K scale ----------------------------------------------------------------------- page 44
- 32. Additional use of the square scales A and B ------------------------------------------------ page 45
- 33. Further use of the square scales Sq1 and Sq2 ---------------------------------------------- page 46
- 34. Combined operations ---------------------------------------------------------------------- page 48
- 35. Visual summary ---------------------------------------------------------------------------- page 50
- CHAPTER IV - TRIGONOMETRIC SCALES
- Part 1.
- 36. Introduction -------------------------------------------------------------------------------- page 52
- 37. Some important formulas from plane trigonometry ------------------------------------------ page 52
- 38. The S (Sine) and SRT (Sine, Radian, Tangent) scales -------------------------------------- page 53
- 39. Simple operations involving the S and SRT scales ------------------------------------------ page 56
- 40. The T ( Tangent) scale --------------------------------------------------------------------- page 59
- Part 2.
- 41. Radians; small angles ----------------------------------------------------------------------- page 61
- 42. Other functions on the S and T scales ------------------------------------------------------ page 64
- 43. Combined operations ---------------------------------------------------------------------- page 65
- 44. Visual summary ---------------------------------------------------------------------------- page 68
- CHAPTER V - SOLUTION OF TRIANGLES
- Part 1.
- 45. Introduction -------------------------------------------------------------------------------- page 70
- 46. Solution of a triangle for which an angle, the opposite side, and any other part are given ----- page 70
- 47. Short cut to solving a triangle --------------------------------------------------------------- page 72
- 48. The law of sines applied to right triangles with two legs given ------------------------------- page 74
- 49. The use of the DI scale in solving right triangles -------------------------------------------- page 75
- 50. Solution of a triangle for which two sides and the included angle are given ------------------ page 77
- Part 2.
- 51. Solution of a triangle for which three sides are given ---------------------------------------- page 79
- 52. Solution of a triangle for which two sides and an angle opposite one of them is given -------- page 81
- 53. Methods of solving triangles; summary ----------------------------------------------------- page 83
- 54. Rectilinear figures -------------------------------------------------------------------------- page 84
- Part 3.
- 55. Applications involving vectors -------------------------------------------------------------- page 88
- 56. Definitions relating to a sphere -------------------------------------------------------------- page 91
- 57. Law of cosines for spherical triangles ------------------------------------------------------- page 92
- 58. Law of sines for spherical triangles --------------------------------------------------------- page 94
- 59. Visual summary ---------------------------------------------------------------------------- page 96
- CHAPTER VI - THE LON SCALES
- Part 1.
- 60. Introduction ------------------------------------------------------------------------------- page 98
- 61. Laws of exponents; rules for combining logarithms ----------------------------------------- page 98
- 62. The LON scales -------------------------------------------------------------------------- page 100
- 63. The number e ----------------------------------------------------------------------------- page 100
- 64. Logarithms to the base e ------------------------------------------------------------------ page 101
- 65. Powers of e ------------------------------------------------------------------------------- page 105
- 66. Hyperbolic functions ---------------------------------------------------------------------- page 107
- 67. Powers of ten notation -------------------------------------------------------------------- page 108
- Part 2.
- 68. Mated scales; reciprocals ----------------------------------------------------------------- page 110
- 69. Powers of any number: elementary -------------------------------------------------------- page 110
- 70. Powers of any number: general ------------------------------------------------------------ page 113
- Part 3.
- 71. Basic formulas of mathematics of finance -------------------------------------------------- page 121
- 72. Logarithms to any base ------------------------------------------------------------------- page 123
- 73. Use of the LON scales to evaluate logarithms to the base 10 ------------------------------ page 125
- 74. Continuous relationship of the C scales to the LON scales --------------------------------- page 129
- Part 4.
- 75. The proportion principal for the LON scales ---------------------------------------------- page 131
- 76. Numbers less than 0.00005 or greater than 30000 ---------------------------------------- page 135
- 77. Numbers between 0.999 and 1.001 ------------------------------------------------------ page 136
- 78. Visual summary -------------------------------------------------------------------------- page 139
- CHAPTER VII - THE SLIDE RULE AND HOW IT WORKS
- Part 1.
- 79. Introduction ------------------------------------------------------------------------------ page 141
- 80. Powers, exponents, and logarithms ------------------------------------------------------- page 141
- 81. Multiplication ---------------------------------------------------------------------------- page 143
- 82. Division ---------------------------------------------------------------------------------- page 144
- 83. Repeating cycles of scales ---------------------------------------------------------------- page 145
- 84. Using the L scale as a table of logarithms ------------------------------------------------- page 147
- 85. The folded scales ------------------------------------------------------------------------ page 148
- 86. The inverted scales ---------------------------------------------------------------------- page 150
- 87. The A, B, and SQ scales ---------------------------------------------------------------- page 151
- Part 2.
- 88. The K scale ----------------------------------------------------------------------------- page 154
- 89. The trigonometric scales ----------------------------------------------------------------- page 155
- 90. The Lon scales -------------------------------------------------------------------------- page 159
- APPENDIX A - LOCATING MARKS FOR BASIC CONSTANTS ------------------------------------ page 165
- APPENDIX B - CONVERSION FACTORS ------------------------------------------------------------ page 167
- APPENDIX C - HISTORICAL BACKGROUND ------------------------------------------------------- page 168
- ANSWERS ----------------------------------------------------------------------------------------------- page 171
- INDEX --------------------------------------------------------------------------------------------------- page 183
This instruction manual is from the collection of Clark McCoy