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 Tables, for the Use of Schools and Colleges |
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Page iv
... German tables most in use are those of Vega and those of Kƶhler . Navigation and Surveying , if to be studied , should be taken up immediately after Plane Trigonometry . Part II . contains Spherical Trigonometry . Particular care has.
... German tables most in use are those of Vega and those of Kƶhler . Navigation and Surveying , if to be studied , should be taken up immediately after Plane Trigonometry . Part II . contains Spherical Trigonometry . Particular care has.
Page v
... taken to render the demonstrations here , plain and easy , and to avoid all unnecessary repeti- tion and complication . It was found that the introduction of a few celestial circles , such for the most part as the study of geography may ...
... taken to render the demonstrations here , plain and easy , and to avoid all unnecessary repeti- tion and complication . It was found that the introduction of a few celestial circles , such for the most part as the study of geography may ...
Page vi
... taken into consideration . When the formulas in this part involve the theory of conic sections , they are given and the use taught , but the demonstrations are reserved for the last appendix , in which the calculus is freely introduced ...
... taken into consideration . When the formulas in this part involve the theory of conic sections , they are given and the use taught , but the demonstrations are reserved for the last appendix , in which the calculus is freely introduced ...
Page xviii
... taken ,. Form and example of the above used on the U. S. Coast Survey , DETERMINATION OF LATITUDES , LONGITUDES , AND Azimuths of the STATIONS , Demonstration of formulas for the spherical figure of the earth , . Necessary modifications ...
... taken ,. Form and example of the above used on the U. S. Coast Survey , DETERMINATION OF LATITUDES , LONGITUDES , AND Azimuths of the STATIONS , Demonstration of formulas for the spherical figure of the earth , . Necessary modifications ...
Page 13
... taken for granted here that the knowledge of a trigonometrical line is equivalent to the knowledge of its arc or angle , and vice versĆ¢ . The trigonometrical lines are sometimes called trigonometrical functions * of an arc or angle . Of ...
... taken for granted here that the knowledge of a trigonometrical line is equivalent to the knowledge of its arc or angle , and vice versĆ¢ . The trigonometrical lines are sometimes called trigonometrical functions * of an arc or angle . Of ...
Contents
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Common terms and phrases
A.M. Hour P.M. altitude azimuth centre circle colatitude collimation column comp cosĀ² cosc Cosecant Cotangent Diff Cotangent Secant course decimal declination departure determined diagram difference of latitude difference of longitude distance divided equal equation error EXAMPLE expressed feet formula Geom given number hence horizontal Hour A.M. Cosine Hour A.M. Hour hour angle hypothenuse instrument Logarithms of Numbers longitude meridian miles multiplied Napier's rules Natural Sines Nautical Almanac negative number of degrees observed obtained parallel parallel sailing perpendicular plane sailing plane triangle Prop proportion quadrant quotient radius right angled triangle right ascension sailed screw second member ship side opposite siderial sin a cos sin a sin sinĀ² sine and cosine solution sphere spherical triangle spherical trigonometry spirit level star subtracting supporting axis TABLE XXVII tangent telescope transit trigonometrical lines vertical zenith