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 1
... mile will be represented by the number 1 when a mile is the unit of length , by the number 1760 when a 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 ...
... mile will be represented by the number 1 when a mile is the unit of length , by the number 1760 when a 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 ...
Página 2
... miles when a 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 ...
... miles when a 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 ...
Página 13
... miles and the length of the cable from England to France is 21 miles . Express the length of the first in terms of the second as unit . Ans . 10911 . 5. Find the measure of a miles when b yards is the unit . Ans . 1760a b 6. The ratio ...
... miles and the length of the cable from England to France is 21 miles . Express the length of the first in terms of the second as unit . Ans . 10911 . 5. Find the measure of a miles when b yards is the unit . Ans . 1760a b 6. The ratio ...
Página 15
... miles . Ans . 838 000 miles . 47. A railway train is travelling on a curve of half a mile radius at the rate of 20 miles an hour : through what angle has it turned in 10 seconds ? Ans . 6 degrees . 48. If the radius of a circle be 4000 ...
... miles . Ans . 838 000 miles . 47. A railway train is travelling on a curve of half a mile radius at the rate of 20 miles an hour : through what angle has it turned in 10 seconds ? Ans . 6 degrees . 48. If the radius of a circle be 4000 ...
Página 146
... of the sides in terms of some unit of length , such as a foot or a mile . The unit may be whatever we please , but must be the same for all the sides . I. In a right triangle each side is equal to 146 PLANE TRIGONOMETRY .
... of the sides in terms of some unit of length , such as a foot or a mile . The unit may be whatever we please , but must be the same for all the sides . I. In a right triangle each side is equal to 146 PLANE TRIGONOMETRY .
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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.