## The Elements of Plane and Spherical Trigonometry |

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The Elements of Plane and Spherical Trigonometry Thomas Ulvan Taylor,Charles Puryear No preview available - 2016 |

### Common terms and phrases

9 log abscissa acute angles Adding addition angle angle equals apply base bearing called characteristic Check circle column considered construct coördinates correction corresponding cosine cot tan cot course decimal determine Difference distance double longitude draw equation example EXERCISES Express feet figure find the area find the value formula functions geometry Given giving Hence included increases legs length less than 90 log cos log cos 9 log cot log log tan log logarithm mantissa measured miles multiple nearly negative opposite perpendicular plane polygon positive produced Prove quadrant radians radius relations remaining respectively right triangle Rule sides Similarly sin A sin sin x sine solution Solve square student Substituting subtraction supplement tangent terminal line triangle ACB TRIGONOMETRIC true unit write

### Popular passages

Page 10 - With reference to any base, the logarithm of a number is the exponent of the power to which the base must be raised to produce the given number.

Page 13 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.

Page 61 - Law of Sines - In any triangle, the sides are proportional to the sines of the opposite angles. That is, sin A = sin B...

Page 64 - In any plane triangle, the sum of any two sides is to their difference, as the tangent of half the sum of the opposite angles is to the tangent of half their difference.

Page 131 - Trigonometry (qv) teaches that, in plain triangles, the sides are to each other as the sines of the opposite angles ; in spherical...

Page 132 - Spherical Triangle the cosine of any side is equal to the product of the cosines of the other two sides, plus the product of the sines of those sides into the cosine of their included angle ; that is, (1) cos a = cos b...

Page 115 - A spherical triangle is a portion of the surface of a sphere, bounded by three arcs of great circles.

Page 14 - The characteristic of the logarithm of a number greater than 1 is a positive integer or zero, and is one less than the number of digits to the left of the decimal point.

Page 122 - The sine of the middle part equals the product of the tangents of the adjacent parts. (2) The sine of the middle part equals the product of the cosines of the opposite parts.

Page 2 - A is the ratio of the adjacent side to the hypotenuse. The tangent of A is the ratio of the opposite side to the adjacent side.