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 1 4 |     grammatical". "Double", "half", "greater", fall under
 2 7 |      double of its hall; by "half", the half of its double;
 3 7 |     its hall; by "half", the half of its double; by "greater",
 4 7 |   case of the double and the half. The existence of the half
 5 7 |   half. The existence of the half necessitates the existence
 6 7 |     of that of which it is a half. Similarly the existence
 7 7 |     follows that there is no half, and vice versa; this rule
 8 10|    expressions "double" and "half"; with reference to contraries
 9 10|      or false. "Double" and "half" are opposed to each other
10 13| regard to the double and the half, for these are reciprocally
11 13|      double, there is also a half, and if there is a half,
12 13|      half, and if there is a half, there is also a double,