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" ... double of that which measures the opposite angle ; that is, double the sine of that angle measured in the circle ; therefore the sides of the triangle are to each other as the sines of the opposite angles measured in the same circle, and consequently... "
An Essay on the Theory and Practice of Setting Out Railway Curves - Page 23
by William Hill (land surveyor.) - 1847 - 24 pages
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - Mathematics - 1825 - 1046 pages
...angles measured in the same circle, and consequently as the sines of the same angles measured in a circle whose radius is that of the tables. Hence the...trigonometry. In any triangle the sines of the angles are proportional to the side* opposite those sane angles. 38. Therefore Io in any right-angled triangle...
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