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 1
... yard is the unit of length , by the number 5280 when a foot is the unit of length , and so on . In like man- 1 ner the number expressing the magnitude of an angle will PART PLANE TRIGONOMETRY CHAPTER MEASUREMENT OF ANGLES ᎪᎡᎢ ...
... yard is the unit of length , by the number 5280 when a foot is the unit of length , and so on . In like man- 1 ner the number expressing the magnitude of an angle will PART PLANE TRIGONOMETRY CHAPTER MEASUREMENT OF ANGLES ᎪᎡᎢ ...
Página 2
... yard is the unit ? 2 miles x 1760 yards 24 = = 1⁄2 4400 yards = 4400 × 1 yard . .. the measure is 4400 when a yard is the unit . 2. What is the measure of a mile when a chain of 66 feet is the unit ? Ans . 80 . 3. What is the measure of ...
... yard is the unit ? 2 miles x 1760 yards 24 = = 1⁄2 4400 yards = 4400 × 1 yard . .. the measure is 4400 when a yard is the unit . 2. What is the measure of a mile when a chain of 66 feet is the unit ? Ans . 80 . 3. What is the measure of ...
Página 13
... yards is the unit . Ans . 1760a b 6. The ratio of the area of one field to that of another is 20 : 1 , and the area of the first is half a square mile . Find the number of square yards in the second . Ans . 77440 . 7. A certain weight ...
... yards is the unit . Ans . 1760a b 6. The ratio of the area of one field to that of another is 20 : 1 , and the area of the first is half a square mile . Find the number of square yards in the second . Ans . 77440 . 7. A certain weight ...
Página 15
... yards . 49. On a circle of 80 feet radius it was found that an angle of 22 ° 30 ' at the centre was subtended by an arc 31 ft . 5 in . in length : hence calculate to four decimal places the numerical value of the ratio of the ...
... yards . 49. On a circle of 80 feet radius it was found that an angle of 22 ° 30 ' at the centre was subtended by an arc 31 ft . 5 in . in length : hence calculate to four decimal places the numerical value of the ratio of the ...
Página 162
... yards . Ans . 151872 sq . yards . 49. Find the radii of the inscribed and each of the escribed circles of the triangle ABC when a = 13 , b = 14 , c = 15 . Ans . 4 ; 10.5 ; 12 ; 14 . 50. Prove the area S = a2 sin B sin C cosec A. 51. 66 ...
... yards . Ans . 151872 sq . yards . 49. Find the radii of the inscribed and each of the escribed circles of the triangle ABC when a = 13 , b = 14 , c = 15 . Ans . 4 ; 10.5 ; 12 ; 14 . 50. Prove the area S = a2 sin B sin C cosec A. 51. 66 ...
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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.