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 5
... denoted respectively by the symbols thus , to represent 18 degrees , 6 minutes , 34.58 seconds , we write 18 ° 6 ' 34 " .58 . : A degree of arc is of the circumference to which the arc belongs . The degree of arc is subdivided in the ...
... denoted respectively by the symbols thus , to represent 18 degrees , 6 minutes , 34.58 seconds , we write 18 ° 6 ' 34 " .58 . : A degree of arc is of the circumference to which the arc belongs . The degree of arc is subdivided in the ...
Página 6
... denoted respect- ively by the symbols & ,, : thus , to represent 34 grades , 48 minutes , 86.47 seconds , we write 348 48 86.47 . The centesimal or decimal method was proposed by the French mathematicians in the beginning of the present ...
... denoted respect- ively by the symbols & ,, : thus , to represent 34 grades , 48 minutes , 86.47 seconds , we write 348 48 86.47 . The centesimal or decimal method was proposed by the French mathematicians in the beginning of the present ...
Página 7
... denoted by Greek letters , a , ẞ , 6 , 0 , 4 , .... ولا The circular measure is employed in the various branches of Analytical Mathe- matics , in which the angle under consideration is almost always expressed by a letter . NOTE 2 ...
... denoted by Greek letters , a , ẞ , 6 , 0 , 4 , .... ولا The circular measure is employed in the various branches of Analytical Mathe- matics , in which the angle under consideration is almost always expressed by a letter . NOTE 2 ...
Página 8
... denote the number of degrees , grades , and radians respectively in any angle , then D G = = Ө 180 200 π ( 1 ) because each fraction is the ratio of the angle to two right angles . 9. Comparison of the Sexagesimal and Centesimal Meas ...
... denote the number of degrees , grades , and radians respectively in any angle , then D G = = Ө 180 200 π ( 1 ) because each fraction is the ratio of the angle to two right angles . 9. Comparison of the Sexagesimal and Centesimal Meas ...
Página 24
... denoted by A ; then whatever be the magnitude of the angle A , the defini- tions of the trigonometric functions Α Quad . B P 2nd 1st Quad . Quadrant P M M 3rd M A M 4th Quad . P are B MP sin A OM = cos A = tan A MP OP ' OP 2 = OM ' ОР ...
... denoted by A ; then whatever be the magnitude of the angle A , the defini- tions of the trigonometric functions Α Quad . B P 2nd 1st Quad . Quadrant P M M 3rd M A M 4th Quad . P are B MP sin A OM = cos A = tan A MP OP ' OP 2 = OM ' ОР ...
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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.