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 83
Página vi
... Angle . 24. Use of the Preceding Formulæ .. 25. Graphic Method of finding the Functions in Terms of One .. 26. To find the Trigonometric Functions of 45 ° .... 27. To find the Trigonometric Functions of 60 ° and 30 ° . 28. Reduction of ...
... Angle . 24. Use of the Preceding Formulæ .. 25. Graphic Method of finding the Functions in Terms of One .. 26. To find the Trigonometric Functions of 45 ° .... 27. To find the Trigonometric Functions of 60 ° and 30 ° . 28. Reduction of ...
Página vii
... Angle .. 55. Triple Value of Sine of One - third an Angle . 56. Find the Values of the Functions of 2210 . 57. Find the Sine and Cosine of 18 ° . 66 67 69 69 58. Find the Sine and Cosine of 36 ° . 70 59. If A + B + C = 180 ° , to find ...
... Angle .. 55. Triple Value of Sine of One - third an Angle . 56. Find the Values of the Functions of 2210 . 57. Find the Sine and Cosine of 18 ° . 66 67 69 69 58. Find the Sine and Cosine of 36 ° . 70 59. If A + B + C = 180 ° , to find ...
Página viii
... ANGLES . 95. Oblique Triangles - Law of Sines . 96. Law of Cosines . 146 146 147 ... Angle in Terms of the Sides . 101. Expressions for the Area of a Triangle ... find the Area of a Cyclic Quadrilateral ... 155 157 Examples .. 159 CHAPTER ...
... ANGLES . 95. Oblique Triangles - Law of Sines . 96. Law of Cosines . 146 146 147 ... Angle in Terms of the Sides . 101. Expressions for the Area of a Triangle ... find the Area of a Cyclic Quadrilateral ... 155 157 Examples .. 159 CHAPTER ...
Página 9
... angle in grades and decimals of a grade thus : 87 % 2 25`` = 878.0225 .9 78.32025 60 19.215 60 12.9 .. 875 2 25 78 ° 19 ' 12 " .9 . = Find the number of grades , minutes , and seconds in the following angles : 3. 51 ° 4 ' 30 " . Ans ...
... angle in grades and decimals of a grade thus : 87 % 2 25`` = 878.0225 .9 78.32025 60 19.215 60 12.9 .. 875 2 25 78 ° 19 ' 12 " .9 . = Find the number of grades , minutes , and seconds in the following angles : 3. 51 ° 4 ' 30 " . Ans ...
Página 10
... Find the number of degrees in the angle whose circu- lar measure is Here 180 .. D : π X 0 12 = 1 90 - = π 90 × 7 = = 28 ° 38 ' 10'10 , 22 where 22 is used for π . 2. Find the circular measure of the angle 59 ° 52 ' 30 " . Express the ...
... Find the number of degrees in the angle whose circu- lar measure is Here 180 .. D : π X 0 12 = 1 90 - = π 90 × 7 = = 28 ° 38 ' 10'10 , 22 where 22 is used for π . 2. Find the circular measure of the angle 59 ° 52 ' 30 " . Express the ...
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.