Book, Paragraph

 1      I,  3 |     terms occur rarely in actual demonstrations, it is clearly frivolous
 2      I,  6 | conclusions and the premisses of demonstrations which produce scientific
 3      I,  9 |       application of geometrical demonstrations to theorems in mechanics
 4      I,  9 |       optics, or of arithmetical demonstrations to those of harmonics.~It
 5      I,  11|       man of science applies his demonstrations. In virtue of the common
 6      I,  13|         are in possession of the demonstrations giving the causes, and are
 7      I,  14|         it is the vehicle of the demonstrations of all the mathematical
 8      I,  19|      equivalent of inquiring, do demonstrations proceed to infinity, i.e.
 9      I,  22|          for on such predication demonstrations depend for their force.
10      I,  22|         to our discussion, since demonstrations are concerned with predicates
11      I,  22|      consequence of this is that demonstrations necessarily involve basic
12      I,  24|                         24~Since demonstrations may be either commensurately
13      I,  25|    posterior, we may suppose two demonstrations of the inherence of A in
14      I,  29|          29~One can have several demonstrations of the same connexion not
15      I,  31|          Seeing, therefore, that demonstrations are commensurately universal
16      I,  33|        definitions through which demonstrations take place, he will have
17     II,  3 |           the basic premisses of demonstrations are definitions, and it
18     II,  3 |      being of something, and all demonstrations evidently posit and assume
19     II,  3 |    essential nature-mathematical demonstrations, for example, the nature
20     II,  6 |     object. That I admit, for in demonstrations also we premise that "this"
21     II,  13|          the minimum required in demonstrations; and we shall attain perspicuity
22     II,  19| premisses are more knowable than demonstrations, and all scientific knowledge