An Introduction to Algebra: Being the First Part of a Course of Mathematics (Classic Reprint)

Foundations of ratio and proportion for early algebra learners

This volume presents the core ideas of ratio, proportion, and their manipulation. It explains how ratios relate to fractions, how compound ratios are built from simple ones, and how changing one term affects the whole comparison. It also covers practical nuances, such as direct versus reciprocal ratios and how to handle incommensurable quantities in proportion.

• Learn the meaning of ratio and how it connects to fractions and proportions
• Understand direct and reciprocal ratios, and how to transfer factors between terms
• Explore compound, duplicate, and subduplicate ratios, with clear examples
• See how changing the antecedent or consequent alters the ratio, including cases with incommensurables