A Treatise on Trigonometry, Plane and Spherical: With Its Application to Navigation and Surveying, Nautical and Practical Astronomy and Geodesy : with Logarithmic, Trigonometrical, and Nautical TablesG.P. Putnam, 1852 - 496 pages |
From inside the book
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Page iv
... triangle , and the value of trigonometry in the measurement of inaccessible heights and distances . The evident inaccuracy in the use of instruments leads the ... Trigonometry . Part II . contains Spherical Trigonometry . Particular care has.
... triangle , and the value of trigonometry in the measurement of inaccessible heights and distances . The evident inaccuracy in the use of instruments leads the ... Trigonometry . Part II . contains Spherical Trigonometry . Particular care has.
Page ix
... TRIGONOMETRY . Paga 1 ib . Definition of Trigonometry , Number of data for determination of a triangle , Geometric solutions of triangles , Scales of equal parts , · 2 Sectoral scale , Diagonal scale , Measurement of angles , Centesimal ...
... TRIGONOMETRY . Paga 1 ib . Definition of Trigonometry , Number of data for determination of a triangle , Geometric solutions of triangles , Scales of equal parts , · 2 Sectoral scale , Diagonal scale , Measurement of angles , Centesimal ...
Page x
... triangles , Use of the tables of natural sines , THEORY OF LOGARITHMS , Page 22 ib 23 25 26 ib . 28 29 • 33 Definitions , log . of the base 1 and 0 , ib ... triangle 66 Demonstration of formulas for the sine and cosine of the X CONTENTS .
... triangles , Use of the tables of natural sines , THEORY OF LOGARITHMS , Page 22 ib 23 25 26 ib . 28 29 • 33 Definitions , log . of the base 1 and 0 , ib ... triangle 66 Demonstration of formulas for the sine and cosine of the X CONTENTS .
Page xi
... triangle , Example under the above formula , Blank form for the same , Page 243 68 71 72 73 74 75 • Formulas for the sine of an angle , the cosine of half an angle , and the tangent of half an angle in terms of the three sides ...
... triangle , Example under the above formula , Blank form for the same , Page 243 68 71 72 73 74 75 • Formulas for the sine of an angle , the cosine of half an angle , and the tangent of half an angle in terms of the three sides ...
Page xii
... triangle in terms of any three parts , 107 An angle and the logarithms of ... SPHERICAL TRIGONOMETRY AND PRACTICAL ASTRONOMY . Definitions , 121 ... spherical triangles , 126 Astronomical example of its application , 127 Demonstration of ...
... triangle in terms of any three parts , 107 An angle and the logarithms of ... SPHERICAL TRIGONOMETRY AND PRACTICAL ASTRONOMY . Definitions , 121 ... spherical triangles , 126 Astronomical example of its application , 127 Demonstration of ...
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Common terms and phrases
altitude applied arith azimuth calculated called celestial sphere centre colatitude collimation column comp complement computed corresponding cos² cosc cosec cosine cot² cotangent decimal declination determine diagram diff divided employed equation error EXAMPLE expressed feet formula Geom given number half the sum height hence horizontal hour angle hypothenuse instrument latitude longitude means meridian middle wire miles multiplied Nautical Almanac negative number of degrees observed obtained parallel perpendicular plane triangle polar pole proportion quadrant quotient radius right angled triangle right ascension screw secant second member side opposite siderial sin a sin sin² sine and cosine sine of half solution sphere spherical triangle spherical trigonometry spirit level star substituting subtracting supporting axis supposed tables of Callet tangent telescope three sides transit trigonometrical lines vertex zenith distance