## Plane and Sperical Trigonometry (with Five-place Tables): A Text-book for Technical Schools and Colleges |

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### Other editions - View all

Plane and Sperical Trigonometry (with Five-Place Tables): A Text-Book for ... Robert Edouard Moritz No preview available - 2015 |

Plane and Sperical Trigonometry (With Five-Place Tables): A Text-Book for ... Robert Édouard Moritz No preview available - 2023 |

Plane and Sperical Trigonometry (With Five-Place Tables): A Text-Book for ... Robert Édouard Moritz No preview available - 2018 |

### Common terms and phrases

absolutely convergent angle less approaches Article Check circle co-lunar triangle colog cologarithm column common logarithm complex numbers compute construct coördinates corresponding cos² cosecant cosh cotangent curve decimal denote divided equal EXAMPLE EXERCISE expressed find log Find the angle formulas fourth quadrant geometrically given number hence hyperbolic functions hypotenuse known law of cosines law of sines law of tangents length log cot loge mantissa mantissa log measure miles Napier's negative obtain opposite perpendicular plane triangles polar triangle positive Problem radians radius ratio relation represent respectively right angle right spherical triangle right triangle Show sides Similarly sin A sin sin² sine and cosine sinh Solution spherical triangle subtended subtraction tan² tanh theorem triangle ABC trigonometric functions x-axis y₁

### Popular passages

Page 59 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.

Page 135 - In the same way it may be proved that a : b : : sin. A : sin. B, and these two proportions may be written a : 6 : c : : sin. A : sin. B : sin. C. THEOREM III. t8. 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. By Theorem II. we have a : b : : sin. A : sin. B.

Page 272 - ... an indispensable instrument in the treatment of nearly every recondite question in modern physics. To mention only sonorous vibrations, the propagation of electric signals along a telegraph wire, and the conduction of heat by the earth's crust, as subjects in their generality intractable without it, is to give but a feeble idea of its importance.

Page 223 - B) = cos A cos B - sin A sin B. cos (A - B) = cos A cos B + sin A sin B.

Page 58 - The logarithm of the quotient of two numbers is equal to the logarithm of the dividend minus the logarithm of the divisor.

Page 39 - 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 130 - In any triangle, the sides are proportional to the sines of the opposite angles. That is, sin A = sin B...

Page 53 - 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 63 - FRACTION is a negative number, and is one more than the number of ciphers between the decimal point and the first significant Jigure.

Page 22 - I. The sine of the middle part is equal to the product of the tangents of the adjacent parts.