## Elements of Plane and Spherical Trigonometry: With Its Applications to the Principles of Navigation and Nautical Astronomy. With the Logarithmic and Trigonometrical Tables |

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### Andre utgaver - Vis alle

Elements of Plane and Spherical Trigonometry: With Its Applications to the ... John Radford Young Uten tilgangsbegrensning - 1833 |

Elements of Plane and Spherical Trigonometry: With Its Applications to the ... John Radford Young Uten tilgangsbegrensning - 1848 |

Elements of Plane and Spherical Trigonometry: With it Applications to the ... John Radford Young Uten tilgangsbegrensning - 1848 |

### Vanlige uttrykk og setninger

ABC are given apparent altitude arith azimuth called celestial object celestial sphere centre circle colatitude comp computation correction cosec cosine course and distance deduced departure determine diff difference of latitude difference of longitude ecliptic equal equations equinoctial expression find the angle formula given side Greenwich hence horizon hour angle hypotenuse included angle logarithmic measured meridian method middle latitude miles Napier's Nautical Almanack oblique obtuse opposite angle parallax parallel parallel sailing perpendicular plane sailing plane triangle polar triangle pole problem quadrant quantities radius right ascension right-angled triangle rule semidiameter ship sine sine and cosine solution sphere spherical angle spherical excess spherical triangle spherical trigonometry subtracting surface tangent theorem third side three angles three sides triangle ABC trigono trigonometrical lines true altitude tude twilight values vertical

### Populære avsnitt

Side 97 - B . sin c = sin b . sin C cos a = cos b . cos c + sin b . sin c cos b = cos a . cos c + sin a . sin c cos A cos B cos c = cos a . cos b + sin a . sin b . cos C ..2), cotg b . sin c = cos G.

Side 20 - In every plane triangle, the sum of two sides is to their difference as the tangent of half the sum of the angles opposite those sides is to the tangent of half their difference.

Side 158 - If the zenith distance and declination be of the same name, that is, both north or both south, their sum will be the latitude ; but, if of different names, their difference will be the latitude, of the same name as the greater.

Side 163 - PS' ; the coaltitudes zs, zs', and the hour angle SPS', which measures the interval between the observations ; and the quantity sought is the colatitude ZP. Now, in the triangle PSS , we have given two sides and the included angle to find the third side ss', and one of the remaining angles, say the angle PSS'. In the triangle zss...

Side 127 - To THE TANGENT OF THE COURSE ; So IS THE MERIDIONAL DIFFERENCE OF LATITUDE, To THE DIFFERENCE OF LONGITUDE. By this theorem, the difference of longitude may be calculated, without previously rinding the departure.

Side 67 - The sum of the three sides of a spherical triangle is less than the circumference of a great circle. Let ABC be any spherical triangle ; produce the sides AB, AC, till they meet again in D. The arcs ABD, ACD, will be semicircumferenc.es, since (Prop.

Side 136 - PEP' (Fig. 22,) represent the meridian of the place, Z being the zenith, and HO the horizon ; and let LL' be the apparent path of the sun on the proposed day, cutting the horizon in S. Then the...