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1 Number is Independent of the order of Counting |
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1 | (1) |
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2 A Sam is Independent of the order of Adding |
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2 | (4) |
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3 A Product is Independent of the order of Multiplying |
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6 | (8) |
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14 | (2) |
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16 | (1) |
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17 | (2) |
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19 | (5) |
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8 On the Number of Arrangements of a Group of Letters |
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24 | (3) |
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9 On a Theorem concerning any Power of a + b |
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27 | (5) |
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10 On Operations which appear to be without Meaning |
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32 | (2) |
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34 | (4) |
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12 Extension of the Meaning of Symbols |
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38 | (2) |
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13 Addition and Multiplication of Operations |
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40 | (2) |
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14 Division of Operations |
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42 | (3) |
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15 General Results of our Extension of Terms |
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45 | (2) |
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1 Boundaries take up no Boom |
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47 | (5) |
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2 Lengths can be Moved without Change |
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52 | (13) |
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3 The Characteristics of Shape |
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65 | |
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4 The Characteristics of Surface Boundaries |
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63 | (3) |
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6 The Plane and the Straight Line |
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66 | (3) |
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6 Properties of Triangles |
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69 | (6) |
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7 Properties of Circles; Belated Circles and Triangles |
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75 | (6) |
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81 | (6) |
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9 On Surfaces of the Second Order |
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87 | (4) |
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10 How to form Curves of the Third and Higher Orders |
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91 | (4) |
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1 The Measurement of Quantities |
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95 | (4) |
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2 The Addition and Subtraction of Quantities |
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99 | (1) |
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3 The Multiplication and Division of Quantities |
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100 | (2) |
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4 The Arithmetical Expression of Ratios |
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102 | (3) |
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5 The Fourth Proportional |
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105 | (8) |
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6 Of Areas; Stretch and Squeeze |
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113 | (3) |
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116 | (4) |
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120 | (3) |
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9 Of Circles and their Areas |
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123 | (7) |
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10 Of the Area of Sectors of Curves |
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130 | (1) |
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11 Extension of the Conception of Area |
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131 | (4) |
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12 On the Area of a Closed Tangle |
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135 | (3) |
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13 On the Volumes of Space-Figures |
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138 | (3) |
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14 On the Measurement of Angles |
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141 | (3) |
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144 | (3) |
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1 All Position is Relative |
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147 | (2) |
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2 Position may be Determined by Directed Steps |
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149 | (4) |
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3 The Addition of Directed Steps or Vectors |
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153 | (5) |
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4 The Addition of Vectors obeys the Commutative Law |
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158 | (1) |
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5 On Methods of Determining Position in a Plane |
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159 | (5) |
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164 | (2) |
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7 The Trigonometrical Ratios |
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166 | (1) |
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167 | (4) |
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171 | (5) |
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10 On the Nature of Logarithms |
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176 | (5) |
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11 The Cartesian Method of Determining Position |
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181 | (7) |
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188 | (4) |
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13 On the Operation which turns a Step through a given Angle |
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192 | (3) |
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14 Relation of the Spin to the Logarithmic Growth of Unit Step |
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195 | (3) |
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15 On the Multiplication of Vectors |
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198 | (6) |
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16 Another Interpretation of the Product of Two Vectors |
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204 | (3) |
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17 Position in Three-Dimensioned Space |
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207 | (3) |
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18 On Localised Vectors or Rotors |
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210 | (4) |
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19 On the Bending of Space |
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214 | (13) |
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1 On the Various Kinds of Motion |
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227 | (3) |
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2 Translation and the Curve of Positions |
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230 | (5) |
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235 | (2) |
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237 | (6) |
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6 On the Tangent to a Curve |
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243 | (7) |
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6 On the Determination of Variable Velocity |
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250 | (3) |
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7 On the Method of Fluxions |
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253 | (12) |
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8 Of the Relationship of Quantities, or Functions |
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265 | |
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9 Of Acceleration and the Hodograph |
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260 | (7) |
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267 | (2) |
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269 | |