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 77
Página vi
... Sine as the Angle increases from 0 ° to 360 ° 20. Changes in Cosine as the Angle increases from 0 ° to 360 ° ... 21. Changes in Tangent as the Angle increases from 0 ° to 360 ° . 22. Table giving Changes of Functions in Four Quadrants ...
... Sine as the Angle increases from 0 ° to 360 ° 20. Changes in Cosine as the Angle increases from 0 ° to 360 ° ... 21. Changes in Tangent as the Angle increases from 0 ° to 360 ° . 22. Table giving Changes of Functions in Four Quadrants ...
Página vii
... Sine and Cosine of Half an Angle ..... 65 54. Double Value of Tangent of Half an 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 ...
... Sine and Cosine of Half an Angle ..... 65 54. Double Value of Tangent of Half an 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 ...
Página viii
... Sine of an Angle in Terms of the Sides . 101. Expressions for the Area of a Triangle ... 150 152 153 102. Inscribed Circle ..... 154 103. Circumscribed Circle .. 154 104. Escribed Circle .... 155 105. Distance between the In - centre ...
... Sine of an Angle in Terms of the Sides . 101. Expressions for the Area of a Triangle ... 150 152 153 102. Inscribed Circle ..... 154 103. Circumscribed Circle .. 154 104. Escribed Circle .... 155 105. Distance between the In - centre ...
Página ix
... Sine and Cosine of 10 " and of 1 ' . 211 136. To construct a Table of Natural Sines and Cosines .. 137. Another Method .. 213 213 138. The Sines and Cosines from 30 ° to 60o . 214 139. Sines of Angles Greater than 45 ° . 215 140. Tables ...
... Sine and Cosine of 10 " and of 1 ' . 211 136. To construct a Table of Natural Sines and Cosines .. 137. Another Method .. 213 213 138. The Sines and Cosines from 30 ° to 60o . 214 139. Sines of Angles Greater than 45 ° . 215 140. Tables ...
Página x
... Sine and Cosine ..... 162. Gregory's Series .. 163. Euler's Series . 164. Machin's Series . 165. Given sin = x sin ( 0+ a ) ; expand 229 Р 231 233 234 235 235 236 237 238 239 240 241 in Powers of x .. 242 242 243 244 245 247 248 248 250 ...
... Sine and Cosine ..... 162. Gregory's Series .. 163. Euler's Series . 164. Machin's Series . 165. Given sin = x sin ( 0+ a ) ; expand 229 Р 231 233 234 235 235 236 237 238 239 240 241 in Powers of x .. 242 242 243 244 245 247 248 248 250 ...
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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.