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 87
... . cos a = cos b cos c ; ' rectangle cosines of the sides . or , cos hypoth . tan b tan c tan B = ... sin c tan c = tan b ' tan opp . side or , tan angle req . = tan adj . side Case IV . 29. Given a side b , and Right angled Triangles . 87.
... . cos a = cos b cos c ; ' rectangle cosines of the sides . or , cos hypoth . tan b tan c tan B = ... sin c tan c = tan b ' tan opp . side or , tan angle req . = tan adj . side Case IV . 29. Given a side b , and Right angled Triangles . 87.
Página 88
... rectangle cot's given angles . COS B COS b = sin c cos req . side = cos opp . angle sin adj . angle COS C = COS C sin B Note 1. Here the rule of the signs ( chap . iv . 9 ) serves all along to determine the kind or affection of the un ...
... rectangle cot's given angles . COS B COS b = sin c cos req . side = cos opp . angle sin adj . angle COS C = COS C sin B Note 1. Here the rule of the signs ( chap . iv . 9 ) serves all along to determine the kind or affection of the un ...
Página 99
... rectangle of the radius and the sine of the middle part rectangle of the tangents of the adjacent parts . 2. The rectangle of the radius and the sine of the middle part rectangle of the cosines of the opposite parts . = These rules may ...
... rectangle of the radius and the sine of the middle part rectangle of the tangents of the adjacent parts . 2. The rectangle of the radius and the sine of the middle part rectangle of the cosines of the opposite parts . = These rules may ...
Página 232
... rectangle of the sines of two arcs , is equal to the difference of the squares of the chords of the sum and difference of those arcs . 3. Demonstrate that of any arc A , sin A = 4. Also , that COS A = 5. And that tan A = = 1 √ ( 1 + ...
... rectangle of the sines of two arcs , is equal to the difference of the squares of the chords of the sum and difference of those arcs . 3. Demonstrate that of any arc A , sin A = 4. Also , that COS A = 5. And that tan A = = 1 √ ( 1 + ...
Página 233
... rectangles by B , the sum of all their solids by c , & c . 12. Find the arc whose secant and co - tangent shall be equal . - Ans . Arc whose sine is 5 , or 38 ° 10 ′ . 13. Find the arc whose sine added to its cosine shall be equal to a ...
... rectangles by B , the sum of all their solids by c , & c . 12. Find the arc whose secant and co - tangent shall be equal . - Ans . Arc whose sine is 5 , or 38 ° 10 ′ . 13. Find the arc whose sine added to its cosine shall be equal to a ...
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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