A 1921 textbook of mathematics for textile students, Part II of a two-part work by Thomas Woodhouse and Alexander Brand. It covers ratio, proportion and variation, averages, percentages, loss and regain (moisture conditioning), mixtures and costs, indices and logarithms, trigonometrical ratios, and yarn counts for cotton, linen, jute, woollen and worsted systems. Worked examples use mill problems such as pulley speeds, dressing mixtures, yarn blends and twist contraction. The book ends with exercises with answers, a section of useful data (gear formulae, weights and measures, mensuration rules) and logarithm and trigonometric tables.