Elements of Plane and Spherical Trigonometry: With Their Applications to Heights and Distances Projections of the Sphere, Dialling, Astronomy, the Solution of Equations, and Geodesic OperationsBaldwin, Cradock, and Joy, 1816 - 244 páginas |
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Página viii
... proved that the system is stable , all its irregularities being confined within certain limits ; just as all the modifications in the magnitude and posi- A sin nr ( T denoting the tion of the sines and cosines of arcs in the viii PREFACE .
... proved that the system is stable , all its irregularities being confined within certain limits ; just as all the modifications in the magnitude and posi- A sin nr ( T denoting the tion of the sines and cosines of arcs in the viii PREFACE .
Página ix
... tion of the sines and cosines of arcs in the same circle are confined within limits , such as the theory of trigo- nometry assigns them . This consideration stamps a value upon the researches in this department of science which they ...
... tion of the sines and cosines of arcs in the same circle are confined within limits , such as the theory of trigo- nometry assigns them . This consideration stamps a value upon the researches in this department of science which they ...
Página 9
... tion to Callet's tables , likewise exhibits directions for their use , and some of the best formulæ employed in their construction . * Of small tables for the pocket the best with which I am acquainted are those of Mr. Whiting , and the ...
... tion to Callet's tables , likewise exhibits directions for their use , and some of the best formulæ employed in their construction . * Of small tables for the pocket the best with which I am acquainted are those of Mr. Whiting , and the ...
Página 29
... tion . The required lines and angles being measured , give .... AB = 117 .... ACB = 2210 ABC 13430 AB ' = 282 .... ACB ' 112 ° = .... Computation . To find the angle в . AB'C = 4510 . As BC .... 117 ...... 2.0681859 To sin A 22 ° 37 ...
... tion . The required lines and angles being measured , give .... AB = 117 .... ACB = 2210 ABC 13430 AB ' = 282 .... ACB ' 112 ° = .... Computation . To find the angle в . AB'C = 4510 . As BC .... 117 ...... 2.0681859 To sin A 22 ° 37 ...
Página 52
... now add all that is requisite in the solu- tion of rectilineal triangles : and shall first take the case where , instead of having two sides a , b , and their in- cluded angle c given , the logarithms of those sides 52 Plane Trigonometry .
... now add all that is requisite in the solu- tion of rectilineal triangles : and shall first take the case where , instead of having two sides a , b , and their in- cluded angle c given , the logarithms of those sides 52 Plane Trigonometry .
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Términos y frases comunes
altitude angled spherical triangle azimuth base becomes bisect centre chap chord circle circle of latitude computation consequently cos² cosec cosine cotangent declination deduced determine dial diameter difference distance draw earth ecliptic equa equal equation Example find the rest formulæ given side h cos h half Hence horizon hour angle hypoth hypothenuse intersecting latitude logarithmic longitude measured meridian obliq oblique opposite angle parallel perpendicular plane angles plane triangle pole problem prop quadrant radius right angled spherical right angled triangle right ascension right line sec² secant sin A sin sin² sine solid angle sphere spherical excess spherical trigonometry star substyle sun's supposed surface tan² tangent theorem three angles three sides tion triangle ABC values versed sine versin vertical angle whence zenith