Plane Trigonometry

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American book Company, 1909 - Logarithms - 153 pages
 

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Page 10 - In any obtuse triangle, the square of the side opposite the obtuse angle is equal to the sum of the squares of the other two sides, increased by twice the product of one of these sides and the projection of the other side upon it.
Page 110 - Sines that the bisector of an angle of a triangle divides the opposite side into parts proportional to the adjacent sides.
Page 10 - The sum of the squares of the legs of a right triangle is equal to the square of the hypotenuse: a2 + b2 = c2.
Page 107 - These three formulas constitute the law of cosines, which states that the square of any side of a triangle is equal to the sum of the squares of the other two sides minus twice the product of these two sides times the cosine of the angle between them.
Page 108 - Hence the Law of Tangents : The difference of two sides of a triangle is to their sum as the tangent of half the difference of the opposite angles is to the tangent of half their sum.
Page 37 - At a point 200 feet from, and on a level with the base of a tower, the angle of elevation of the top of the tower is observed to be 60° : what is the height of the tower?
Page 10 - In any proportion the terms are in proportion by Composition and Division ; that is, the sum of the first two terms is to their difference, as the sum of the last two terms is to their difference.
Page 127 - The logarithm of a number is the power to which another number, called the base, must be raised to equal the number, eg, 103 = 1000, and the logarithm of 1000, to the base ten, is 3.
Page 9 - If two sides of a triangle are unequal, the angle opposite the greater side is greater than the angle opposite the less side.
Page 9 - Two right triangles are equal if the hypotenuse and a leg of one are equal respectively to the hypotenuse and a leg of the other.

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