An Elementary Treatise on Plane Trigonometry with numerous examples and applications

Excerpt from An Elementary Treatise on Plane Trigonometry: With Numerous Examples and Applications
The following course of Trigonometry has been prepared with the view of meeting the wants not only of High School but also of Collegiate classes, and in pursuance of this end, the more elementary portions - such as are required for the matriculation examination in the University of Toronto - are printed in a larger type, and form a connected treatise independently of the portions printed in the smaller type, which are intended for candidates reading for University honors.
In discussing the trigonometrical functions I have adopted the method of ratios or the Cambridge method; but on the recommendation of several eminent teachers in our colleges, I have given a full account of the older method or that of the "line definitions," and have employed the latter method in solving right-angled triangles and in tracing the variations in sign and magnitude of the several functions in the various quadrants. Of course, teachers who prefer to use the "ratio definitions" only, can omit the portions treating of the "line definitions" without breaking the continuity of the course.
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