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 150
... apparent pole , P , lies in the prolongation of HS . At the apparent pole , P , also the horary angle between 6 o'clock and 12 , is 6 x 15o , or a right angle ; and the angle in a semicircle is a right angle : therefore , the semicircle ...
... apparent pole , P , lies in the prolongation of HS . At the apparent pole , P , also the horary angle between 6 o'clock and 12 , is 6 x 15o , or a right angle ; and the angle in a semicircle is a right angle : therefore , the semicircle ...
Página 151
... apparent pole . The truth of the remainder of the construction is manifest * . 27. For astronomical methods of determining the meridian , and the declination of any vertical plane , the student may turn to prob . 2 of the next chapter ...
... apparent pole . The truth of the remainder of the construction is manifest * . 27. For astronomical methods of determining the meridian , and the declination of any vertical plane , the student may turn to prob . 2 of the next chapter ...
Página 160
... apparent rapidity . In that case the spherical triangle Psz will be right angled at s , and we shall have from the formulæ for right angled triangles in chap . vi . cot d tan l .... ... ( 9. ) COS P = cot d cot l cos d sin z = = cos d ...
... apparent rapidity . In that case the spherical triangle Psz will be right angled at s , and we shall have from the formulæ for right angled triangles in chap . vi . cot d tan l .... ... ( 9. ) COS P = cot d cot l cos d sin z = = cos d ...
Página 164
... apparent motion of Dubhe or a Ursa majoris vertical ; and what were the altitude and azimuth of the star at that time ? On the year and day specified , the declination , d , of the star was 62 ° 50 ′ . The logarithmic opperation cor ...
... apparent motion of Dubhe or a Ursa majoris vertical ; and what were the altitude and azimuth of the star at that time ? On the year and day specified , the declination , d , of the star was 62 ° 50 ′ . The logarithmic opperation cor ...
Página 165
... apparent motion of the star is vertical ; then it is evident that half the sum of these two azimuths will be the true azimuth from the north or south , ac- cording as the latitude of the place is north or south , and that half the ...
... apparent motion of the star is vertical ; then it is evident that half the sum of these two azimuths will be the true azimuth from the north or south , ac- cording as the latitude of the place is north or south , and that half the ...
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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