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 ix
... Object .. 182 123. An Inaccessible Object above a Horizontal Plane 184 124. Object observed from Two Points in Same Vertical Line .... 185 125. Distance between Two Inaccessible Objects . 186 126. The Dip of the Horizon .... 186 127 ...
... Object .. 182 123. An Inaccessible Object above a Horizontal Plane 184 124. Object observed from Two Points in Same Vertical Line .... 185 125. Distance between Two Inaccessible Objects . 186 126. The Dip of the Horizon .... 186 127 ...
Página 33
... object of the following six Articles is to show that the trigonometric functions of any angle , positive or negative , can be expressed in terms of the trigonometric functions of an angle less than 90 ° , so that , if a given angle is ...
... object of the following six Articles is to show that the trigonometric functions of any angle , positive or negative , can be expressed in terms of the trigonometric functions of an angle less than 90 ° , so that , if a given angle is ...
Página 146
... objects of Trigonometry , as its name implies ( Art . 1 ) , is to establish certain relations between the sides and angles of triangles , so that when some of these are known the rest may be determined . RIGHT TRIANGLES . B 94. Let ABC ...
... objects of Trigonometry , as its name implies ( Art . 1 ) , is to establish certain relations between the sides and angles of triangles , so that when some of these are known the rest may be determined . RIGHT TRIANGLES . B 94. Let ABC ...
Página 181
... objects which cannot be actually measured . The actual measurement , with scientific accuracy , of a line of any considerable length , is a very long and ... Object standing on HEIGHT OF AN OBJECT . 181 Heights and Distances - Definitions.
... objects which cannot be actually measured . The actual measurement , with scientific accuracy , of a line of any considerable length , is a very long and ... Object standing on HEIGHT OF AN OBJECT . 181 Heights and Distances - Definitions.
Página 183
... object . At A observe the vertical / CAD = α , and the horizontal DAB = ß ; a measure AB = a , and at B observe the ≤ DBA = y . Then AD = a sin y sin ( B + y ) = .. CD AD tan a a sin y tan a ... Object situated HEIGHT OF AN OBJECT . 183.
... object . At A observe the vertical / CAD = α , and the horizontal DAB = ß ; a measure AB = a , and at B observe the ≤ DBA = y . Then AD = a sin y sin ( B + y ) = .. CD AD tan a a sin y tan a ... Object situated HEIGHT OF AN OBJECT . 183.
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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.