New System of Arithmetic, on the Cancelling Plan: Embracing the Rules of Three, Single and Double, Direct and Inverse; Barter; Loss and Gain; Reduction, Multiplication and Division of Fractions; Exchange of Currencies; Interest; And All Proportional Quest

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1kg Limited, Jun 24, 2016 - Mathematics - 262 pages
Excerpt from New System of Arithmetic, on the Cancelling Plan: Embracing the Rules of Three, Single and Double, Direct and Inverse; Barter; Loss and Gain; Reduction, Multiplication and Division of Fractions; Exchange of Currencies; Interest; And All Proportional Questions in One Rule Applicable to the Whole

The principle upon which cancelling proceeds is plain. It is merely taking from equal balanced scales equal weights, leaving the balance undisturbed. As applied in arithmetic, each process greatly simplifies the expression of the proportion.

In Fractions, lag is fi, or {5 or Here each term of the fraction is equally diminished, and the fraction remains the same in value, but the expression is greatly simplified. By stating a proportional question, and cancelling from it all redundancies, the answer is alone left, or so few por tions of the statement remain, that, by a perfectly easy combination, in the manner presented by the rule, the answer is at once obtained.

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