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
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Página v
... Negative Angles 6. The Sexagesimal 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 ...
... Negative Angles 6. The Sexagesimal 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 ...
Página 3
... Negative Angles . We supposed in Art . 3 that OB revolved in the direction opposite to that of the hands of a watch . But angles may , of course , be described by a line revolving in the same direction as the hands of a watch , and it ...
... Negative Angles . We supposed in Art . 3 that OB revolved in the direction opposite to that of the hands of a watch . But angles may , of course , be described by a line revolving in the same direction as the hands of a watch , and it ...
Página 5
... negative direc- tion about O any number of times , generating a negative angle ; and this negative angle may obviously have any magnitude whatever . The angle AOP may be the geometric representative of any of the Trigonometric angles ...
... negative direc- tion about O any number of times , generating a negative angle ; and this negative angle may obviously have any magnitude whatever . The angle AOP may be the geometric representative of any of the Trigonometric angles ...
Página 12
... negative . Then ( 1 ) 2n × 180 ° + A represents algebraically an angle in the first quadrant . ( 2 ) 2n x 180 ° - A represents algebraically an angle in the fourth quadrant . ( 3 ) ( 2n + 1 ) 180 ° - A represents algebraically an angle ...
... negative . Then ( 1 ) 2n × 180 ° + A represents algebraically an angle in the first quadrant . ( 2 ) 2n x 180 ° - A represents algebraically an angle in the fourth quadrant . ( 3 ) ( 2n + 1 ) 180 ° - A represents algebraically an angle ...
Página 23
... Negative Lines . two perpendicular right lines intersecting at the point O. Then the position of any point in the line AA ' or BB ' will be deter- mined if we know the distance of the point from O , and if we know also upon which side ...
... Negative Lines . two perpendicular right lines intersecting at the point O. Then the position of any point in the line AA ' or BB ' will be deter- mined if we know the distance of the point from O , and if we know also upon which side ...
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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.