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 25
... problem thus ex- pressed is unlimited . Our twenty varieties , therefore , only furnish three distinct cases , to the solution of which we shall now proceed . CASE I. 2. When a side and its opposite angle are among the given parts ...
... problem thus ex- pressed is unlimited . Our twenty varieties , therefore , only furnish three distinct cases , to the solution of which we shall now proceed . CASE I. 2. When a side and its opposite angle are among the given parts ...
Página 26
... problem , and to detect its ambi- guities , if there be any . It will also , if accurately per- formed , upon a scale of moderate size , give the sides to within their 200th part , and the angles true to within half a degree . Note 4 ...
... problem , and to detect its ambi- guities , if there be any . It will also , if accurately per- formed , upon a scale of moderate size , give the sides to within their 200th part , and the angles true to within half a degree . Note 4 ...
Página 27
... problem , write down the requisite proportion in four distinct lines , with the letters of reference to each term , and the given numbers to the three first : against these numbers place their respective logarithms ; find the logarithm ...
... problem , write down the requisite proportion in four distinct lines , with the letters of reference to each term , and the given numbers to the three first : against these numbers place their respective logarithms ; find the logarithm ...
Página 30
... problem is impos- sible ; and when CB exceeds CA , the angle A being all along supposed given , the line ABB ' can only be cut in one point . Hence the practical maxim may be thus ex- pressed : —when cв is proposed less than AC sin A ...
... problem is impos- sible ; and when CB exceeds CA , the angle A being all along supposed given , the line ABB ' can only be cut in one point . Hence the practical maxim may be thus ex- pressed : —when cв is proposed less than AC sin A ...
Página 59
... problem . 1st . Geometrically . C Analysis . Suppose the triangle ABC to be that whose sides CB , BA , AC , are respectively as three consecutive terms in the increasing series of integer numbers , and the greater angle ABC equal to ...
... problem . 1st . Geometrically . C Analysis . Suppose the triangle ABC to be that whose sides CB , BA , AC , are respectively as three consecutive terms in the increasing series of integer numbers , and the greater angle ABC equal to ...
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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