A Treatise on Plane and Spherical Trigonometry: And Its Applications to Astronomy and Geodesy with Numerous ExamplesD.C. Heath & Company, 1892 - 368 páginas |
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Página iv
... methods of computation , but his ability to grasp them in the many forms they may assume in practical applications . Among these exam- ples are some of the most elegant theorems in Plane and Spherical Trigonometry . The Chapters on De ...
... methods of computation , but his ability to grasp them in the many forms they may assume in practical applications . Among these exam- ples are some of the most elegant theorems in Plane and Spherical Trigonometry . The Chapters on De ...
Página v
... Method .. 1 2 3 3 5 7. The Centesimal or Decimal Method 8. The Circular Measure ..... 9. Comparison of the Sexagesimal and Centesimal Measures 8 10. Comparison of the Sexagesimal and Circular Measures . 11. General Measure of an Angle ...
... Method .. 1 2 3 3 5 7. The Centesimal or Decimal Method 8. The Circular Measure ..... 9. Comparison of the Sexagesimal and Centesimal Measures 8 10. Comparison of the Sexagesimal and Circular Measures . 11. General Measure of an Angle ...
Página vi
... 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 Functions to 1st Quadrant .. 29. Functions of ...
... 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 Functions to 1st Quadrant .. 29. Functions of ...
Página ix
... Method .. 213 213 138. The Sines and Cosines from 30 ° to 60o . 214 139. Sines of Angles Greater than 45 ° . 215 140. Tables of Tangents and Secants .. 215 141. Formulæ of Verification .. 216 142. Tables of Logarithmic Trigonometric ...
... Method .. 213 213 138. The Sines and Cosines from 30 ° to 60o . 214 139. Sines of Angles Greater than 45 ° . 215 140. Tables of Tangents and Secants .. 215 141. Formulæ of Verification .. 216 142. Tables of Logarithmic Trigonometric ...
Página x
... Methods to replace the Rule of Proportional Parts ... 224 Examples ... 226 CHAPTER IX . DE MOIVRE'S THEOREM . - APPLICATIONS . 153. De Moivre's Theorem . and cos 0 .. 154. To find all the Values of ( cos + V - 1 sin 0 ) 155. To develop ...
... Methods to replace the Rule of Proportional Parts ... 224 Examples ... 226 CHAPTER IX . DE MOIVRE'S THEOREM . - APPLICATIONS . 153. De Moivre's Theorem . and cos 0 .. 154. To find all the Values of ( cos + V - 1 sin 0 ) 155. To develop ...
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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.