A Treatise on Plane and Spherical Trigonometry: And Its Applications to Astronomy and Geodesy with Numerous ExamplesD.C. Heath & Company, 1892 - 368 páginas |
Dentro del libro
Resultados 1-5 de 11
Página ix
... Horizon .... 186 127. Problem of Pothenot or of Snellius 188 Examples 189 CHAPTER VIII . CONSTRUCTION OF LOGARITHMIC AND TRIGONOMETRIC TABLES . 128. Logarithmic and Trigonometric Tables .. 204 129. Exponential Series .. 204 130 ...
... Horizon .... 186 127. Problem of Pothenot or of Snellius 188 Examples 189 CHAPTER VIII . CONSTRUCTION OF LOGARITHMIC AND TRIGONOMETRIC TABLES . 128. Logarithmic and Trigonometric Tables .. 204 129. Exponential Series .. 204 130 ...
Página xii
... Problems ... 342 226. The Chordal Triangle ... 346 227. Legendre's Theorem .. 348 228. Roy's Rule ...... 350 229. Reduction of an Angle to the Horizon 352 ᎪᎡᎢ . 230. Small Variations in Parts of a Spherical xii CONTENTS .
... Problems ... 342 226. The Chordal Triangle ... 346 227. Legendre's Theorem .. 348 228. Roy's Rule ...... 350 229. Reduction of an Angle to the Horizon 352 ᎪᎡᎢ . 230. Small Variations in Parts of a Spherical xii CONTENTS .
Página 186
... Horizon . Since the surface of the earth is spherical , it is obvious that an object on it will be visible only for a certain distance depending on its height ; and , conversely , that at a certain height above the ground the visible ...
... Horizon . Since the surface of the earth is spherical , it is obvious that an object on it will be visible only for a certain distance depending on its height ; and , conversely , that at a certain height above the ground the visible ...
Página 187
... horizon ; and CPD , which is the angle of depression of the most dis- tant point on the horizon seen from P , is called the dip of the horizon at P. The angle DOP is equal to it . Denote the angle CPD by 0 , the height AP by h , and the ...
... horizon ; and CPD , which is the angle of depression of the most dis- tant point on the horizon seen from P , is called the dip of the horizon at P. The angle DOP is equal to it . Denote the angle CPD by 0 , the height AP by h , and the ...
Página 199
... horizon is 15 ° : find the distance between A and C. Ans . 500 ( √3 + 1 ) . 114. From the top of a cliff the angles of depression of the top and bottom of a lighthouse 97.25 feet high are observed to be 23 ° 17 ' and 24 ° 19 ...
... horizon is 15 ° : find the distance between A and C. Ans . 500 ( √3 + 1 ) . 114. From the top of a cliff the angles of depression of the top and bottom of a lighthouse 97.25 feet high are observed to be 23 ° 17 ' and 24 ° 19 ...
Contenido
1 | |
3 | |
8 | |
16 | |
23 | |
25 | |
26 | |
27 | |
211 | |
217 | |
218 | |
219 | |
220 | |
221 | |
222 | |
224 | |
28 | |
29 | |
30 | |
31 | |
33 | |
34 | |
35 | |
36 | |
37 | |
38 | |
39 | |
40 | |
41 | |
43 | |
44 | |
50 | |
52 | |
54 | |
55 | |
56 | |
57 | |
58 | |
60 | |
61 | |
63 | |
69 | |
75 | |
87 | |
93 | |
108 | |
115 | |
138 | |
146 | |
152 | |
165 | |
167 | |
176 | |
182 | |
188 | |
201 | |
204 | |
207 | |
226 | |
229 | |
233 | |
234 | |
235 | |
236 | |
238 | |
239 | |
240 | |
241 | |
242 | |
248 | |
252 | |
254 | |
255 | |
256 | |
257 | |
267 | |
268 | |
270 | |
272 | |
273 | |
274 | |
276 | |
277 | |
278 | |
279 | |
280 | |
281 | |
284 | |
286 | |
287 | |
288 | |
297 | |
324 | |
331 | |
338 | |
346 | |
352 | |
353 | |
359 | |
Otras ediciones - Ver todas
A Treatise on Plane and Spherical Trigonometry: And Its Applications to ... Edward Albert Bowser Sin vista previa disponible - 2013 |
Términos y frases comunes
algebraically angle AOP angle of elevation base calculate centre circle circular measure common logarithms cos b cos cos² cosec cotangent decimal places denote diff equal equations EXAMPLES expression feet find log find the angle find the height find the number formulæ Given log Hence horizon hypotenuse integer log cot log sin log sine mantissa Multiply negative number whose logarithm observed obtained opposite perpendicular plane polar triangle positive Prove the following quadrant R₁ r₂ radian radius right angles right triangle sec² secant sides Similarly sin a cos sin B sin sin x sin² sin³ sines and cosines sinx siny solution Solve spherical triangle subtends table of logarithms table of natural tan² tangent triangle ABC trigonometric functions vertical yards ОР
Pasajes populares
Página 148 - In any triangle the square of any side is equal to the sum of the squares of the other two sides minus twice the product of these two sides and the cosine of their included angle.
Página 147 - Law of Sines. — In any triangle the sides are proportional to the sines of the opposite angles.
Página 278 - AB'C, we have by (4) cos a' — cos b cos c' + sin b sin c' cos B'AC, or cos(тг— a) = cos b cos(тг— c) + sin b sin(тт — C)COS(тг —A). .-. cos a = cos b cos с + sin b sin с cos A.
Página 278 - ... cos a = cos b cos с + sin b sin с cos A ; (2) cos b = cos a cos с + sin a sin с cos в ; ^ A. (3) cos с = cos a cos b + sin a sin b cos C.
Página 278 - A cos 6 = cos a cos c + sin a sin c cos B cos c = cos a cos 6 + sin a sin 6 cos C Law of Cosines for Angles cos A = — cos B...
Página 6 - Radian is the angle subtended, at the centre of a circle, by an arc equal in length to the radius...
Página 17 - If the cosine of A be subtracted from unity, the remainder is called the versed sine of A. If the sine of A be...
Página 89 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Página 149 - In every plane triangle, the sum of two sides is to their difference as the tangent of half the sum of the angles opposite those sides is to the tangent of half their difference.