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 |
Dentro del libro
Resultados 1-5 de 26
Página 26
... taking the sum of the two former from 180 ° . Note 1. Since sines are lines , there can be no impro- priety in comparing them with the sides of triangles ; and the rule is better remembered by young mathema- ticians , than when the ...
... taking the sum of the two former from 180 ° . Note 1. Since sines are lines , there can be no impro- priety in comparing them with the sides of triangles ; and the rule is better remembered by young mathema- ticians , than when the ...
Página 27
... angle c . This , being an obtuse angle , its sine is to be found in the table by taking that of its supplement 80 ° 44 ' , which ( chap . i . 19 ) is the same . Hence , Logs . Logs . As sin c 99 ° 16 C 2 Solution of its Three Cases . 27.
... angle c . This , being an obtuse angle , its sine is to be found in the table by taking that of its supplement 80 ° 44 ' , which ( chap . i . 19 ) is the same . Hence , Logs . Logs . As sin c 99 ° 16 C 2 Solution of its Three Cases . 27.
Página 43
... taking the superior sign , we shall have sin 2A 2 sin a cos a 2 sin a √ ( 1 ) = 2A - cos 24 = cos 24 sin A = 2 cox ( Ain A ) ( D ) - - -- 1 by substituting 1 cos 2A for sin 2A , and 1 COS 2A . - } • sin 2A for So , again , by supposing ...
... taking the superior sign , we shall have sin 2A 2 sin a cos a 2 sin a √ ( 1 ) = 2A - cos 24 = cos 24 sin A = 2 cox ( Ain A ) ( D ) - - -- 1 by substituting 1 cos 2A for sin 2A , and 1 COS 2A . - } • sin 2A for So , again , by supposing ...
Página 47
... Taking again the equations ( c ) for the sine of the sum and the difference , there results , by add . sin ( A + B ) + sin ( A — B ) by sub . sin ( A + B ) sin ( A - - 2 sin A COS B B ) = 2 sin B COS A. The first of these formulæ ...
... Taking again the equations ( c ) for the sine of the sum and the difference , there results , by add . sin ( A + B ) + sin ( A — B ) by sub . sin ( A + B ) sin ( A - - 2 sin A COS B B ) = 2 sin B COS A. The first of these formulæ ...
Página 51
... taking away the denominator , tan C - tan A tan B tan c - and , by transposition , - tan A - tan B , tan Atan B + tan ctan A tan в tan c . ( 4. ) Dividing this equation by the whole of the first mem- ber , and substituting for the ...
... taking away the denominator , tan C - tan A tan B tan c - and , by transposition , - tan A - tan B , tan Atan B + tan ctan A tan в tan c . ( 4. ) Dividing this equation by the whole of the first mem- ber , and substituting for the ...
Otras ediciones - Ver todas
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