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 51
Página viii
... 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. Functions of Half an Angle in Terms of the Sides ...
... 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. Functions of Half an Angle in Terms of the Sides ...
Página xi
... Right Spherical Triangles .. 186. Napier's Rules .... 270 272 187. The Species of the Parts .. 273 188. Ambiguous ... Angles 193. To find the Value of cot a sin b , etc. .. 278 279 194. Useful Formulæ 195. Formulæ for the Half Angles 280 ...
... Right Spherical Triangles .. 186. Napier's Rules .... 270 272 187. The Species of the Parts .. 273 188. Ambiguous ... Angles 193. To find the Value of cot a sin b , etc. .. 278 279 194. Useful Formulæ 195. Formulæ for the Half Angles 280 ...
Página 3
... angle AOB , having the same bounding lines OA and OB , may therefore be greater than 2 , 4 , 8 , or any number of right angles . The line OA from which OB moves is called the initial line , and OB in its final position , the terminal ...
... angle AOB , having the same bounding lines OA and OB , may therefore be greater than 2 , 4 , 8 , or any number of right angles . The line OA from which OB moves is called the initial line , and OB in its final position , the terminal ...
Página 4
... right angles AOB , BOA ' , A'OB ' , and B'OA . B The circumference is divided at the points A , B , A ' , B ' into ... right angle , and is said to be an angle in the first quadrant . AOP , is greater than one and less than two right ...
... right angles AOB , BOA ' , A'OB ' , and B'OA . B The circumference is divided at the points A , B , A ' , B ' into ... right angle , and is said to be an angle in the first quadrant . AOP , is greater than one and less than two right ...
Página 5
... angles , called respectively the Sexagesimal , the Centesimal , and the Cir- cular methods . - 6. The Sexagesimal Method . This is the method in general use . In this method the right angle is divided into 90 equal parts , each of which ...
... angles , called respectively the Sexagesimal , the Centesimal , and the Cir- cular methods . - 6. The Sexagesimal Method . This is the method in general use . In this method the right angle is divided into 90 equal parts , each of which ...
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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.