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 74
Página viii
... TRIANGLE AND THE FUNCTIONS 93. Formulæ ..... 94. Right Triangles . OF ITS ANGLES . 95. Oblique Triangles - Law of Sines . 96. Law of Cosines . 146 146 147 148 97. Law of Tangents . 98. To prove c = a cos B + b cos A .. 149 149 99 ...
... TRIANGLE AND THE FUNCTIONS 93. Formulæ ..... 94. Right Triangles . OF ITS ANGLES . 95. Oblique Triangles - Law of Sines . 96. Law of Cosines . 146 146 147 148 97. Law of Tangents . 98. To prove c = a cos B + b cos A .. 149 149 99 ...
Página ix
... Triangles ... 115. Case I.- Given a Side and Two Angles 116. Case II . — Given Two Sides and the Angle opposite One ... Triangle 180 120. Heights and Distances - Definitions 181 121. Heights of an Accessible Object .... 182 122. Height ...
... Triangles ... 115. Case I.- Given a Side and Two Angles 116. Case II . — Given Two Sides and the Angle opposite One ... Triangle 180 120. Heights and Distances - Definitions 181 121. Heights of an Accessible Object .... 182 122. Height ...
Página xii
... Triangles . Given the Three Sides ... 221. Areas of Triangles . — Given Two Sides and the Included Angle , 331 Examples .... 332 CHAPTER XIII . APPLICATIONS OF SPHERICAL TRIGONOMETRY . 222. Astronomical Definitions .. 338 223. Spherical ...
... Triangles . Given the Three Sides ... 221. Areas of Triangles . — Given Two Sides and the Included Angle , 331 Examples .... 332 CHAPTER XIII . APPLICATIONS OF SPHERICAL TRIGONOMETRY . 222. Astronomical Definitions .. 338 223. Spherical ...
Página xiii
... Spherical Triangle 231. Inclination of Adjacent Faces of Polyedrons ... 232. Volume of Parallelopiped . PAGE 353 356 357 233. Diagonal of a Parallelopiped .. 358 234. Table of Formulæ in Spherical Trigonometry .. 359 Examples . 362 A ...
... Spherical Triangle 231. Inclination of Adjacent Faces of Polyedrons ... 232. Volume of Parallelopiped . PAGE 353 356 357 233. Diagonal of a Parallelopiped .. 358 234. Table of Formulæ in Spherical Trigonometry .. 359 Examples . 362 A ...
Página 19
... triangle of Art . 13 , show that a = c sin A b = a cot A = c cos B = b tan A = b cot B , = c sin B , = a tan B = c cos A ca cosec A = a sec B = b sec A = b cosec B. NOTE . These results should be carefully noticed , as they are of ...
... triangle of Art . 13 , show that a = c sin A b = a cot A = c cos B = b tan A = b cot B , = c sin B , = a tan B = c cos A ca cosec A = a sec B = b sec A = b cosec B. NOTE . These results should be carefully noticed , as they are of ...
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.