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 63
... observations , proceed to the solution of the following problems . EXAMPLE I. In order to ascertain my distance from a tower , which was inaccessible by reason of an intervening river , I measured on a horizontal plane a base line of ...
... observations , proceed to the solution of the following problems . EXAMPLE I. In order to ascertain my distance from a tower , which was inaccessible by reason of an intervening river , I measured on a horizontal plane a base line of ...
Página 66
... observed two mile - stones on a horizontal road , which ran straight from its bottom , and took their respective angles of depression below the horizontal plane passing through the place of my eye ; that of the nearer mile - stone was ...
... observed two mile - stones on a horizontal road , which ran straight from its bottom , and took their respective angles of depression below the horizontal plane passing through the place of my eye ; that of the nearer mile - stone was ...
Página 70
... observed to be 4 ° 52 ′ ; at the bottom of the castle the angle of depression was 4 ° 2. Required the hori- zontal distance of the vessel , and the height of the hill on which the castle stands above the level of the sea , the castle ...
... observed to be 4 ° 52 ′ ; at the bottom of the castle the angle of depression was 4 ° 2. Required the hori- zontal distance of the vessel , and the height of the hill on which the castle stands above the level of the sea , the castle ...
Página 74
... observation , FAE , FBE , FCE , the angles of elevation , and AB , BC , the given distances . F B E Then , since the triangles AEF , BEF , CEF , are all right angled at E , the distances AE , BE , CE , will manifestly be as the ...
... observation , FAE , FBE , FCE , the angles of elevation , and AB , BC , the given distances . F B E Then , since the triangles AEF , BEF , CEF , are all right angled at E , the distances AE , BE , CE , will manifestly be as the ...
Página 89
... observe , that when the resulting log . is the log . of a quotient , 10 must be added to the index : when it is the log . of a product , 10 must be subtracted from the index . This is done in conformity with the rule ( chap . iv . 17 ) ...
... observe , that when the resulting log . is the log . of a quotient , 10 must be added to the index : when it is the log . of a product , 10 must be subtracted from the index . This is done in conformity with the rule ( chap . iv . 17 ) ...
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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