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 29
Página 4
... less than a right angle , and is said to be an angle in the first quadrant . AOP , is greater than one and less than two right angles , and is said to be an angle in the second quadrant . AOP , is greater than two and less than three ...
... less than a right angle , and is said to be an angle in the first quadrant . AOP , is greater than one and less than two right angles , and is said to be an angle in the second quadrant . AOP , is greater than two and less than three ...
Página 7
... less than an angle of an equilateral triangle , i.e. , of 60 ° . Angles expressed in circular measure are usually denoted by Greek letters , a , ẞ , 6 , 0 , 4 , .... ولا The circular measure is employed in the various branches of ...
... less than an angle of an equilateral triangle , i.e. , of 60 ° . Angles expressed in circular measure are usually denoted by Greek letters , a , ẞ , 6 , 0 , 4 , .... ولا The circular measure is employed in the various branches of ...
Página 11
... less than two right angles ; but in the theoretical parts of mathematics , angles are treated as quantities which may be of any magnitude what- ever . Thus , when we are told that an angle is in some particu- lar quadrant , say the ...
... less than two right angles ; but in the theoretical parts of mathematics , angles are treated as quantities which may be of any magnitude what- ever . Thus , when we are told that an angle is in some particu- lar quadrant , say the ...
Página 28
... less than unity . The tangent and cotangent are unlimited in value . They have all values from to + ∞ . 81 The versed sine and coversed sine vary from 0 to 2 , and are always positive . The trigonometrie functions change sign in ...
... less than unity . The tangent and cotangent are unlimited in value . They have all values from to + ∞ . 81 The versed sine and coversed sine vary from 0 to 2 , and are always positive . The trigonometrie functions change sign in ...
Página 33
... less than 90 ° , so that , if a given angle is greater than 90 ° , we can find an angle in the 1st quadrant whose trigonometric function has the same absolute value . - 29. Functions of Complemental Angles . Let AA ' REDUCTION OF ...
... less than 90 ° , so that , if a given angle is greater than 90 ° , we can find an angle in the 1st quadrant whose trigonometric function has the same absolute value . - 29. Functions of Complemental Angles . Let AA ' REDUCTION OF ...
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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.