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 38
Página ix
... opposite One of them , 173 117. Case III . — Given Two Sides and the Included Angle ....... 176 118. Case IV . - Given the Three Sides 177 119. Area of a Triangle 180 120. Heights and Distances - Definitions 181 121. Heights of an ...
... opposite One of them , 173 117. Case III . — Given Two Sides and the Included Angle ....... 176 118. Case IV . - Given the Three Sides 177 119. Area of a Triangle 180 120. Heights and Distances - Definitions 181 121. Heights of an ...
Página xii
... Opposite Angle ... Given Two Angles and One Opposite Side . Given the Three Sides ... 212. Case IV . 213. Case V. 214. Case VI . Examples .... Given the Three Angles .. PAGE 298 299 300 301 302 302 303 304 305 307 309 312 313 314 316 ...
... Opposite Angle ... Given Two Angles and One Opposite Side . Given the Three Sides ... 212. Case IV . 213. Case V. 214. Case VI . Examples .... Given the Three Angles .. PAGE 298 299 300 301 302 302 303 304 305 307 309 312 313 314 316 ...
Página 3
... opposite direction , negative . In all branches of mathematics angles described by the revolution of a straight line in the direc- tion opposite to that in which the hands of a watch move are usually considered positive , and all angles ...
... opposite direction , negative . In all branches of mathematics angles described by the revolution of a straight line in the direc- tion opposite to that in which the hands of a watch move are usually considered positive , and all angles ...
Página 16
... opposite these angles by the corresponding small italics , a , b , c , * we have the following definitions : 810 b 910 α b 810 018 b с ܩܕܙܘ b с α = = = = = opposite side hypotenuse adjacent side hypotenuse opposite side adjacent ...
... opposite these angles by the corresponding small italics , a , b , c , * we have the following definitions : 810 b 910 α b 810 018 b с ܩܕܙܘ b с α = = = = = opposite side hypotenuse adjacent side hypotenuse opposite side adjacent ...
Página 17
... opposite side ; or cot A = b a The secant of an angle is the ratio of the hypotenuse to the adjacent side ; or sec A = с b The cosecant of an angle is the ratio of the hypotenuse to the opposite side ; or cosec A = с a The versed sine ...
... opposite side ; or cot A = b a The secant of an angle is the ratio of the hypotenuse to the adjacent side ; or sec A = с b The cosecant of an angle is the ratio of the hypotenuse to the opposite side ; or cosec A = с a The versed sine ...
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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.