An Elementary Treatise on Plane Spherical Trigonometry

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Fb&c Limited, Jun 27, 2015 - Science - 436 pages
Excerpt from An Elementary Treatise on Plane Spherical Trigonometry

1. Trigonometry is the science which treats of angles and triangles.

2. Plane Trigonometry treats of plane triangles. [B. p. 36.]

3. To solve a Triangle is to calculate certain of its sides and angles when the others are known.

It has been proved in Geometry that, when three of the six parts of a triangle are given, the triangle can be constructed, provided one at least of the given parts is a side. In these cases, then, the unknown parts of the triangle can be determined geometrically, and it may readily be inferred that they can also be determined algebraically.

But a great difficulty is met with on the very threshold of the attempt to apply the calculus to triangles.

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