Book, Paragraph

1      I,  7 |    another science, unless these theorems are related as subordinate
2      I,  7 |        superior (e.g. as optical theorems to geometry or harmonic
3      I,  7 |          to geometry or harmonic theorems to arithmetic). Geometry
4      I,  9 |      this rule are such cases as theorems in harmonics which are demonstrable
5      I,  9 | demonstrable by arithmetic. Such theorems are proved by the same middle
6      I,  9 |    geometrical demonstrations to theorems in mechanics or optics,
7      I,  12|   premisses for the proof of the theorems of geometry or of any other