Book, Paragraph

 1      I,  7 |     cannot, for instance, prove geometrical truths by arithmetic. For
 2      I,  9 | mentioned of the application of geometrical demonstrations to theorems
 3      I,  12|         those questions will be geometrical which form premisses for
 4      I,  12|        and proves anything from geometrical premisses, he is clearly
 5      I,  12|      sciences.~Since there are "geometrical" questions, does it follow
 6      I,  12|       fallacy though drawn from geometrical premisses? Or, perhaps,
 7      I,  12|      another science; e.g. in a geometrical controversy a musical question
 8      I,  12|  parallels meet is in one sense geometrical, being ungeometrical in
 9      I,  12|    proof that fire increases in geometrical proportion: "Fire", he argues, "
10      I,  12|  increases rapidly, and so does geometrical proportion". There is no
11      I,  12|        increasing proportion is geometrical and the most rapidly increasing
12      I,  13|          since, even though the geometrical subjects are predicable