## Plane Trigonometry for the Use of Colleges and Schools: With Numerous Examples |

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Algebra angle increases angles included angular points AP coincides approximately arithmetical progression calculated centre circle inscribed circular measure circumference circumscribed circle coefficient cos A cos cosec cosine cotangent deduce denote determine distance divided equal error escribed circles Euclid example expression factors feet formula four right angles fraction given angle given log greater height Hence hypotenuse indefinitely integer limit logarithmic sine multiple nine points circle number of degrees number of grades obtain opposite sides places of decimals plane positive angle positive integer positive or negative preceding Article produced quadrant quadrilateral quantity radii radius regular polygon result right-angled triangle root secant shew Shew that sin shewn Similarly sin A sin Solve the equation straight line subtend suppose Table tabular logarithmic tangent theorem tower triangle ABC Trigonometrical Functions Trigonometrical Ratios Trigonometrical Tables zero

### Popular passages

Page 7 - Radian is the angle subtended, at the centre of a circle, by an arc equal in length to the radius...

Page 16 - Pythagoras' theorem states that the square of the length of the hypotenuse of a right-angled triangle is equal to the sum of the squares of the lengths of the other two sides.

Page 54 - B. cos (A + B) - cos A cos B - sin A sin B. cos (A - B) = cos A cos B + sin A sin B.

Page 35 - PM is equal to AP; thus as the angle increases from 0 to 90° the sine increases from 0 to 1. While AP moves through the second quadrant PM is positive, and continually decreases until AP coincides with AB...

Page 219 - From eight times the chord of half the arc, subtract the chord of the whole arc, and divide the remainder by 3, and the quotient will be the length of the arc, nearly.

Page 92 - The logarithm of a quotient is equal to the logarithm of the dividend minus the logarithm of the divisor.

Page 92 - The logarithm of a product is equal to the sum of the logarithms of its factors.

Page 91 - The Logarithm of a number to a given base is the index of the power to which the base must be raised to give the number. Thus if m = a", x is called the logarithm of m to the base a.