## Elements of Plane and Spherical Trigonometry with Logarithmic and Other Mathematical Tables and Examples of Their Use and Hints on the Art of Computation |

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### Other editions - View all

Elements of Plane and Spherical Trigonometry with Logarithmic and Other ... Simon Newcomb No preview available - 2016 |

Elements of Plane and Spherical Trigonometry: With Logarithmic and Other ... Simon Newcomb No preview available - 2018 |

Elements of Plane and Spherical Trigonometry: With Logarithmic and Other ... Simon Newcomb No preview available - 2017 |

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added addition algebraic angle applied base become called circle circumference column complement computation corresponding cos² cosec cosine cotangent Cotg decimals definition differences direction distance divided equal equations error example EXERCISES expression figure formula four fourth functions geometry given gives greater Hence increase interest interpolation intersect length less limit logarithm means measure metres minutes multiply negative NOTE obtain opposite perpendicular plane positive powers preceding problem projection Prop Prove quadrant quantities radius reduce relations remaining represented respective result root secant shown sides sin a sin sine Solution spherical triangle square student substituting subtract suppose Tang tangent theorem third tions triangle trigonometric unit unity values write zero

### Popular passages

Page 4 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.

Page 4 - The logarithm of a product is equal to the sum of the logarithms of its factors.

Page 66 - In any triangle the square of any side is equal to the sum of the squares of the other two sides minus twice the product of these two sides and the cosine of their included angle.

Page 70 - TO THEIR DIFFERENCE ; So IS THE TANGENT OF HALF THE SUM OF THE OPPOSITE ANGLES', To THE TANGENT OF HALF THEIR DIFFERENCE.

Page 34 - To find the trigonometric functions corresponding to an angle between 45° and 90°, we take the degrees at the bottom of the page and the minutes in the right-hand column. The values of the...

Page 139 - A cos 6 = cos a cos c + sin a sin c cos B cos c = cos a cos 6 + sin a sin 6 cos C Law of Cosines for Angles cos A = — cos B...

Page 132 - I. The sine of the middle part is equal to the product of the tangents of the adjacent parts. II. The sine of the middle part is equal to the product of the cosines of the opposite parts.

Page 44 - To express the sine and cosine of the sum of two angles in terms of the sines and cosines of the angles.

Page 73 - If two triangles have two sides of the one respectively equal to two sides of the other, and the contained angles supplemental, the two triangles are equal.

Page 53 - Conventionally the period is divided into 24 hours, each hour into 60 minutes, and each minute into 60 seconds.