Mathesis enucleata, or, The elements of the mathematicks by J. Christ. Sturmius ; made English by J.R. and R.S.S.

CONSECTARY II.

SO that it is very easie after this way, having never so many Reasons given, whether continued (as 2 to 3, 3 to 6, or ••a, ea, eia,) or interrupted or discrete (as 2 to 3, and 5 to 10, or a to ea, and b to i b) to express their compounded Reason: ••n the first case it easily obtain'd by the bare omission of the in∣termediate Term or Terms (2 to 6, or a to eia;) and in the other by multiplying first of all the Names of the com∣pounding Reasons among themselves (1 ½ and 2, e. and i.) and by the Product (3 or ei) as the name of the Reason compound∣ing the first Term (2 or a) that you may have the o her 6 or eia) or (if any one had rather do so in this latter case) by turning the discrete or interrupted Reasons into continued ones, by making as 5 to 10 in the second Reason, so is the Consequent of the first 3 to 6, or as b to ib, so ea to eia,) and then by re∣ferring the first 2 to the third 6, or the first a to the third eia, &c. In a word therefore, any Duplicate Reason may be appositely expressed by a to e{powerof2}a, and Triplicate by a to e{powerof3}a, the one immediately discernible by a double, the other by a triple Multiplication into itself; as you may also commodiously, and denote others compounded, e. g. of 2 by a to eia, of 3 by a to eioa, &c.