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
... pole of the equator , the other through the pole of the ecliptic , is called the angle of position . 19. The tropics are two circles parallel to the equi- noctial , and touching the ecliptic at the two points where it is most remote ...
... pole of the equator , the other through the pole of the ecliptic , is called the angle of position . 19. The tropics are two circles parallel to the equi- noctial , and touching the ecliptic at the two points where it is most remote ...
Página 121
... poles of the equator , are called polar circles ; the former the arctic , the latter the antarctic circle . 23. That vertical circle which intersects the meridian of any place at right angles , is called the prime vertical : the points ...
... poles of the equator , are called polar circles ; the former the arctic , the latter the antarctic circle . 23. That vertical circle which intersects the meridian of any place at right angles , is called the prime vertical : the points ...
Página 123
... pole = the latitude L : the equator will be projected into its diameter eq , making with the horizon an angle Hсe 90 ° — L : the parallels to the equator will be represented by chords , such as AB parallel to the diameter of the equator ...
... pole = the latitude L : the equator will be projected into its diameter eq , making with the horizon an angle Hсe 90 ° — L : the parallels to the equator will be represented by chords , such as AB parallel to the diameter of the equator ...
Página 124
... pole . Again , from the triangle c & T we have GT = CG tan GCT = sin D tan L .... ( 3. ) D being the declination of the parallel ; GT COS D sin D COS D tan L tan D tan L sin DT ' ( 4. ) From the same triangle we have , also , CT = sin ...
... pole . Again , from the triangle c & T we have GT = CG tan GCT = sin D tan L .... ( 3. ) D being the declination of the parallel ; GT COS D sin D COS D tan L tan D tan L sin DT ' ( 4. ) From the same triangle we have , also , CT = sin ...
Página 125
... poles is o : it is on the plane of this circle that it is proposed to describe all B F m . I SK D the circles of the sphere , as they would appear at the point o . The circle , then , whose diameter Stereographic Projection . 125 ...
... poles is o : it is on the plane of this circle that it is proposed to describe all B F m . I SK D the circles of the sphere , as they would appear at the point o . The circle , then , whose diameter Stereographic Projection . 125 ...
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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