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 120
... right ascension of a celestial body is an arc of the equinoctial , intercepted between one of the equi- noxes , and a declination circle passing through the body ; it is measured according to the order of the sun's apparent motion ...
... right ascension of a celestial body is an arc of the equinoctial , intercepted between one of the equi- noxes , and a declination circle passing through the body ; it is measured according to the order of the sun's apparent motion ...
Página 152
... right ascension and their observed declination . Afterwards , as it was found that a consi- derable portion of the celestial phenomena relative to the planetary system , occur in the plane of the ecliptis , or in planes but little ...
... right ascension and their observed declination . Afterwards , as it was found that a consi- derable portion of the celestial phenomena relative to the planetary system , occur in the plane of the ecliptis , or in planes but little ...
Página 153
... right ascension , a , of the star , SR its decli- nation , d , or Ps , its co - declination , EL its longitude , 1 , SL its latitude , L , or Ps its co - latitude , PSP = p , the angle of position ; and PP ' is given = 23 ° 27 ′ 49 ...
... right ascension , a , of the star , SR its decli- nation , d , or Ps , its co - declination , EL its longitude , 1 , SL its latitude , L , or Ps its co - latitude , PSP = p , the angle of position ; and PP ' is given = 23 ° 27 ′ 49 ...
Página 154
... right ascension by the following theorems similarly deduced , viz . cos rs = sin P'p sin p ́s cos pp's + cos PP ' cos p ́s , cot r'rs = cot P's sin P'p - cos PP's cos P'P sin PP's : where again , introducing the literal values and ...
... right ascension by the following theorems similarly deduced , viz . cos rs = sin P'p sin p ́s cos pp's + cos PP ' cos p ́s , cot r'rs = cot P's sin P'p - cos PP's cos P'P sin PP's : where again , introducing the literal values and ...
Página 155
... right ascension from the vernal equinox . But they are applicable to all positions by simply regarding the mutations of signs in the several sines , cosines , tangents , & c . according to the arcs to which they refer . The right ...
... right ascension from the vernal equinox . But they are applicable to all positions by simply regarding the mutations of signs in the several sines , cosines , tangents , & c . according to the arcs to which they refer . The right ...
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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