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 |
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Page iv
... equations by the aid of Trigonometry , various expressions for the area of a triangle in terms of its angles and sides , effects of errors of observation on results ; in short , everything necessary for a comprehensive knowledge of ...
... equations by the aid of Trigonometry , various expressions for the area of a triangle in terms of its angles and sides , effects of errors of observation on results ; in short , everything necessary for a comprehensive knowledge of ...
Page xii
... equations trigonometrically , Determination of the increment of the sine , tangent , & c . , from a small increment ... equations , 135 136 137 New mode of deriving Napier's analogies from the Gauss equations , Geographic example of the ...
... equations trigonometrically , Determination of the increment of the sine , tangent , & c . , from a small increment ... equations , 135 136 137 New mode of deriving Napier's analogies from the Gauss equations , Geographic example of the ...
Page xiv
... equations , . · Proof that the parts of the triangle may be interchanged in the Gauss equations , Auxiliary angles , Pag 177 178 179 · 181 182 184 · ib 186 187 193 194 Solution of the several cases of the general spherical triangle ...
... equations , . · Proof that the parts of the triangle may be interchanged in the Gauss equations , Auxiliary angles , Pag 177 178 179 · 181 182 184 · ib 186 187 193 194 Solution of the several cases of the general spherical triangle ...
Page 11
... which it will be the object of the residue of the present treatise to unfold . To give the student a general view of what is before him , it will be well to state that a number of equations will be SOLUTIONS BY CONSTRUCTION . 11.
... which it will be the object of the residue of the present treatise to unfold . To give the student a general view of what is before him , it will be well to state that a number of equations will be SOLUTIONS BY CONSTRUCTION . 11.
Page 12
... equations will be found , each containing four quantities , which quantities will be general expressions for the measures ... equation with respect to it , its value will be expressed in terms of the other three . If now these three were ...
... equations will be found , each containing four quantities , which quantities will be general expressions for the measures ... equation with respect to it , its value will be expressed in terms of the other three . If now these three were ...
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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