Plane and Spherical TrigonometryGinn & Company, 1892 - 345 pàgines |
Altres edicions - Mostra-ho tot
Plane and Spherical Trigonometry, Surveying and Tables George Albert Wentworth Visualització completa - 1895 |
Plane and Spherical Trigonometry (Classic Reprint) G. A. Wentworth Previsualització no disponible - 2016 |
Frases i termes més freqüents
ABCD acute angle altitude Q angle of elevation azimuth bearing centre chains chronometer colog compass course computed cosc cosecant cosine cosx cosy cotangent declination departure deviation difference of latitude equal equation EXAMPLE EXERCISE feet find the angles Find the area Find the distance Find the height Find the latitude formulas functions Given Greenwich date Greenwich mean height of eye Hence horizontal plane hour angle hypotenuse index correction Law of Sines Leeway length magnetic measured meridian middle latitude miles observed altitude opposite parallax parallel PARALLEL SAILING perpendicular plane sailing pole polygon position quadrant radius regular polygon represent right triangle ship sails sides sine siny solution spherical triangle star tance tangent true altitude True course unit circle variation vernier vertex vertical whence λα
Passatges populars
Pàgina 134 - For (Fig. 46) the angle ZOB between the zenith of the observer and the celestial equator is obviously equal to his latitude, and the angle POZ is the complement of ZOB. The arc NP being the complement of PZ, it follows that the altitude of the elevated pole is equal to the latitude of the place of observation. The triangle ZPM then (however much it may vary in shape for different positions of the star M ), always contains the following five magnitudes : PZ— co-latitude of observer = 90°...
Pàgina 56 - A Solar Day is the interval of time between two successive transits of the sun over the same meridian; and the hour-angle of the sun is called Solar Time.
Pàgina 49 - Sines that the bisector of an angle of a triangle divides the opposite side into parts proportional to the adjacent sides.
Pàgina 101 - I. The sine of the middle part is equal to the product of the tangents of the adjacent parts.
Pàgina 48 - The square of any side of a triangle is equal to the sum of the squares of the other two sides, diminished by twice the product of the sides and the cosine of the included angle.
Pàgina 88 - V-- 7. Prove that the sides of any plane triangle are proportional to the sines of the angles opposite to these sides. If 2s = the sum of the three sides (a, b, c) of a triangle, and if A be the angle opposite to the side a, prove that 2 _ 8. Prove that in any plane triangle C* ~~i
Pàgina 23 - From the top of a hill the angles of depression of two objects situated in the...
Pàgina 48 - In any triangle, the square of a side opposite an acute angle is equal to the sum of the squares of the other two sides diminished by twice the product of one of those sides and the projection of the other side upon it.
Pàgina 92 - Assuming the formula for the sine of the sum of two angles in terms of the sines and cosines of the separate angles, find (i.) sin 75°; (ii.) sin 3 A in terms of sin .4.