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 9
Página x
... Factors . 168. Resolve x2 + 1 into Factors . 169. Resolve x2n 2n cos 0 + 1 into Factors . 170. De Moivre's Property of the Circle . 171. Cote's Properties of the Circle 172. Resolve sin @ into Factors 173. Resolve cos e into Factors 174 ...
... Factors . 168. Resolve x2 + 1 into Factors . 169. Resolve x2n 2n cos 0 + 1 into Factors . 170. De Moivre's Property of the Circle . 171. Cote's Properties of the Circle 172. Resolve sin @ into Factors 173. Resolve cos e into Factors 174 ...
Página 88
... factors . For let Ն . x = logam , and y = log.n .. m = a * , and na " . Similarly , ... mn = a * + y . ... log1mn = x + y = log。m + log。n. log.mnp log.m + logan + log.p , = and so on for any number of factors . Thus , log 60 = log ...
... factors . For let Ն . x = logam , and y = log.n .. m = a * , and na " . Similarly , ... mn = a * + y . ... log1mn = x + y = log。m + log。n. log.mnp log.m + logan + log.p , = and so on for any number of factors . Thus , log 60 = log ...
Página 89
... factors , and the sum is the logarithm of the product : thus , log10 246 = 2.39093 log103572.55267 4.94360 which is the logarithm of 87822 , the product required . 2. If we are required to divide 371.49 by 52.376 , we pro- ceed thus ...
... factors , and the sum is the logarithm of the product : thus , log10 246 = 2.39093 log103572.55267 4.94360 which is the logarithm of 87822 , the product required . 2. If we are required to divide 371.49 by 52.376 , we pro- ceed thus ...
Página 169
... factors is always preferred to one which consists of terms , when any of those terms contain any power of the quantities involved . - 113. When a Side and the Hypotenuse are nearly Equal . When a side and the hypotenuse are given , as a ...
... factors is always preferred to one which consists of terms , when any of those terms contain any power of the quantities involved . - 113. When a Side and the Hypotenuse are nearly Equal . When a side and the hypotenuse are given , as a ...
Página 207
... factors . The logarithm of 10. Putting n = 1 , 2 , 4 , 6 , etc. , suc- cessively , in ( 4 ) of Art . 130 , we obtain the following loge 2 1 Napierian Logarithms : 1 1 1 + + + + + 3 3.33 5.35 7.37 9.39 1 1 1 log , 3 log , 2 + 2 = + + + + ...
... factors . The logarithm of 10. Putting n = 1 , 2 , 4 , 6 , etc. , suc- cessively , in ( 4 ) of Art . 130 , we obtain the following loge 2 1 Napierian Logarithms : 1 1 1 + + + + + 3 3.33 5.35 7.37 9.39 1 1 1 log , 3 log , 2 + 2 = + + + + ...
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.