A Treatise on Plane Trigonometry, Containing an Account of Hyperbolic Functions: With Numerous Examples

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Hodges, Figgis, 1888 - 276 páginas

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Página ii - Fcp. 8vo., 3r. 6d. A TREATISE ON THE ANALYTICAL GEOMETRY OF THE POINT, LINE, CIRCLE AND CONIC SECTIONS. Containing an Account of its most recent Extension. Crown 8vo., 12s.
Página 132 - Law of Sines — In any triangle, the sides are proportional to the sines of the opposite angles. That is, sin A = sin B = sin C...
Página xi - Find an expression for the sine of half an angle of a triangle in terms of the sides.
Página 95 - The characteristic of the logarithm of any number greater than unity, is one less than the number of integral figures in the given number.
Página 153 - An object 6 feet high, placed on the top of a tower, subtends an angle...
Página 176 - The law of sines states that the sides of a triangle are proportional to the sines of their opposite angles. This law can be proved by applying the elementary formula for the area of a triangle ( 34 x base x altitude ) to triangle ABC in Fig.
Página 31 - The sine of the sum of two angles (or arcs) is equal to the sine of the first into the cosine of the second, plus the cosine of the first into the sine of the second.
Página 2 - A right angle is divided into 90 equal parts called degrees, a degree into 60 equal parts called minutes, a minute into 60 equal parts called seconds.
Página 106 - We have, then, that the sine of an angle is equal to the cosine of its complement, and conversely.
Página 157 - The sine of an angle is equal to the sine of its supplement. The sine rule Consider fig.

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