The Elements of Plane and Spherical Trigonometry: And Its Application to Astronomy, Dialling, and Trigonometrical Surveying. With Plates. Designed for Mathematical StudentsT. Ostell and Company, 1841 - 191 sider |
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Resultat 1-5 av 26
Side xi
... Pole of a circle ... Spherical angle Spherical triangle . Area of a spherical lune .. Area of a spherical triangle Spherical excess . Polar or supplemental triangle .. 62 ( 72. ) ...... 63 ( 75. ) ib . ( 76. ) 64 ( 79. ) 65 ( 80. ) 66 ...
... Pole of a circle ... Spherical angle Spherical triangle . Area of a spherical lune .. Area of a spherical triangle Spherical excess . Polar or supplemental triangle .. 62 ( 72. ) ...... 63 ( 75. ) ib . ( 76. ) 64 ( 79. ) 65 ( 80. ) 66 ...
Side xiii
... ELEMENTS OF ASTRONOMY . SECTION X. DOCTRINE OF THE SPHERE Axis of the world ( 128 . ) - Poles of the world ( ib . ) -Celestial equator ( ib . ) - Zenith ( 129 . ) — Na- 131 dir ( 129 . ) - Meridian ( 130 . CONTENTS . xiii.
... ELEMENTS OF ASTRONOMY . SECTION X. DOCTRINE OF THE SPHERE Axis of the world ( 128 . ) - Poles of the world ( ib . ) -Celestial equator ( ib . ) - Zenith ( 129 . ) — Na- 131 dir ( 129 . ) - Meridian ( 130 . CONTENTS . xiii.
Side xiv
... pole Definition of latitude ..... The altitude of the pole is equal to the latitude .... To find the latitude . IV . Given the sun's meridian altitude and the declination ..... 139 ( 146. ) 140 ( 147. ) 144 ( 148. ) ib . ( 149. ) 145 ...
... pole Definition of latitude ..... The altitude of the pole is equal to the latitude .... To find the latitude . IV . Given the sun's meridian altitude and the declination ..... 139 ( 146. ) 140 ( 147. ) 144 ( 148. ) ib . ( 149. ) 145 ...
Side 61
... a small circle . ( 71. ) Two great circles bisect one another , for their common intersection is the diameter of the sphere bisecting both circles . ( 72. ) The pole of a great or small PLANE AND SPHERICAL TRIGONOMETRY . 61.
... a small circle . ( 71. ) Two great circles bisect one another , for their common intersection is the diameter of the sphere bisecting both circles . ( 72. ) The pole of a great or small PLANE AND SPHERICAL TRIGONOMETRY . 61.
Side 62
... pole of the circle G H. In the same way it may be shewn that the point P is the pole of the small circle A B , which is pa- rallel to G H. Every circle upon the sphere has two poles , for the same demonstration will evidently apply to ...
... pole of the circle G H. In the same way it may be shewn that the point P is the pole of the small circle A B , which is pa- rallel to G H. Every circle upon the sphere has two poles , for the same demonstration will evidently apply to ...
Andre utgaver - Vis alle
The Elements of Plane and Spherical Trigonometry: And Its Application ... Richard Abbatt Ingen forhåndsvisning tilgjengelig - 2017 |
The Elements of Plane and Spherical Trigonometry: And Its Application ... Richard Abbatt Ingen forhåndsvisning tilgjengelig - 2018 |
Vanlige uttrykk og setninger
1+cos 1+tan A-sin A'+B A+B+C A+tan ab+cd angle of elevation Answer B-cos B-sin B+cos c-cos C-tan c=cos calculation called centre complement cos² cosec cosine cotangent determine diurnal motion earth ecliptic equal equation Example find the angle formulæ greater Greenwich hence horizon hour circle hypothenuse included angle known latitude less Let A B C log a log logarithms longitude measured meridian altitudes miles obliq obliquity observed perpendicular plane triangle polar triangle pole prime vertical Problem quadrant radius right ascension secant sides A B Similarly sin S-a sin² sine sine and cosine six o'clock sphere spherical angle spherical tri spherical triangle SPHERICAL TRIGONOMETRY subtraction Suppose surface tan² tangent third side three angles three sides Tobolsk triangle A B C TRIGONO trigonometrical lines vernal equinox yards
Populære avsnitt
Side 58 - A sphere is a solid bounded by a curved surface, every point of which is equally distant from a point within called the center.
Side 55 - From a window near the bottom of a house, which seemed to be on a level with the bottom of a steeple, I took the angle of elevation of the top of the steeple equal...
Side 31 - THEOREM I. The sides of a plane triangle are proportional to the sines of their opposite angles.
Side 66 - That is, the sines of the sides of a spherical triangle are proportional to the sines of the opposite angles.
Side 60 - A great circle may be drawn through any two points on the surface of a sphere, but not through more than two, taken at random.
Side 57 - Required the horizontal distance of the vessel, and the height of the promontory above the level of the sea, the light-house being 85 feet high. Ans. Distance 5296.4 feet, height 251.3 feet. Prob. 11. An observer, seeing a cloud in the west, measured its angle of elevation, and found it to be 64°. A second observer, situated half a mile due east from the first station, and on the same...
Side 54 - What is the perpendicular height of a hill ; its angle of elevation, taken at the bottom of it, being 46°, and 200 yards farther off, on a level with the bottom, the angle was 31°?
Side 57 - ... it is required from these measures to determine the magnitude of the whole earth, and the utmost distance that can be seen on its surface from the top of the mountain, supposing the form of the earth to be perfectly...
Side x - CB : CA : : sin A : sin B. For, with A as a centre, and AD equal to the less side...
Side 57 - Required the distance from A to B. Ans. 345.5 yards. Prob. 10. From the top of a light-house, the angle of depression of a ship at anchor was 3° 38', and at the bottom of the light-house the angle of depression was 2° 43'.