Mathematical Exercises ...: Examples in Pure Mathematics, Statics, Dynamics, and Hydrostatics. With Tables ... and ReferencesLongmans, Green & Company, 1877 - 413 páginas |
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Página 61
... base measures 524 links ; find the length of the base in chains . Given 1 chain = 100 links = 22 yards . 13. Find the area in acres of a triangle , whose sides are 25 , 20 , and 15 chains . 14. Explain the following terms in logarithms : ...
... base measures 524 links ; find the length of the base in chains . Given 1 chain = 100 links = 22 yards . 13. Find the area in acres of a triangle , whose sides are 25 , 20 , and 15 chains . 14. Explain the following terms in logarithms : ...
Página 62
... base 3 2 10. Given the logarithms to the base 10 of 2 and 3 , find 3 1 the logarithms of 72 , 135 and log 2 = 3010300 . log 3 = 4771213 . √ 11. The distance between two towns is 54 miles , and the distance between their places on a map ...
... base 3 2 10. Given the logarithms to the base 10 of 2 and 3 , find 3 1 the logarithms of 72 , 135 and log 2 = 3010300 . log 3 = 4771213 . √ 11. The distance between two towns is 54 miles , and the distance between their places on a map ...
Página 65
... base 10 and to the base / 10 , and also of 2401 to the base 7 , and to the base 1 3/7 Find from the tables log10487-9634 , and , by help of the tables , find an approximate value of ( 3.7452 ) + ( 3.7121 ) . 11. The sides of a right ...
... base 10 and to the base / 10 , and also of 2401 to the base 7 , and to the base 1 3/7 Find from the tables log10487-9634 , and , by help of the tables , find an approximate value of ( 3.7452 ) + ( 3.7121 ) . 11. The sides of a right ...
Página 67
... base 10 ? Of what number is ⚫5 the logarithm to a base 10 ? Find by the aid of the tables ( 24.76 ) ( 0045 ) 10. A right angled triangle has a base of 240 feet , and the hypothenuse is 400 feet ; find the area of the triangle . 11. A ...
... base 10 ? Of what number is ⚫5 the logarithm to a base 10 ? Find by the aid of the tables ( 24.76 ) ( 0045 ) 10. A right angled triangle has a base of 240 feet , and the hypothenuse is 400 feet ; find the area of the triangle . 11. A ...
Página 70
... base . The logarithm of 2 to base 10 is 30103 , find the logarithms of 2-10 , of 002 , of 5- , and of 6250 . " 15. Prove that the logarithm of the product of two factors is the sum of the logarithms of the two factors . Solve the ...
... base . The logarithm of 2 to base 10 is 30103 , find the logarithms of 2-10 , of 002 , of 5- , and of 6250 . " 15. Prove that the logarithm of the product of two factors is the sum of the logarithms of the two factors . Solve the ...
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Términos y frases comunes
Arithmetic axis ball base bisected body cent centre of gravity circle coefficient of friction compound interest cone cost crown 8vo cube cubic foot curve Define determine diameter Divide dwts ellipse English equal equilibrium expression feet Find the area Find the centre Find the distance Find the equation Find the number Find the sum Find the value fluid forces acting fraction geometrical Grammar horizontal plane hyperbola inches inclined plane inscribed Integrate isosceles latus rectum least common multiple length logarithms miles Multiply parabola parallel particle perpendicular pressure Prove pulleys radius ratio rectangle rectangular Reduce right angles sides simple interest sin² sine spherical triangle square root straight line string subtended Subtract surface tangent theorem tons tower triangle ABC velocity vertical vulgar fraction weight yards
Pasajes populares
Página 123 - Wherefore, in equal circles &c. QED PROPOSITION B. THEOREM If the vertical angle of a triangle be bisected by a straight line which likewise cuts the base, the rectangle contained by the sides of the triangle is equal to the rectangle contained by the segments of the base, together with the square on the straight line which bisects the angle.
Página 10 - A'B'C', and applying the law of cosines, we have cos a' = cos b' cos c' + sin b' sin c' cos A'. Remembering the relations a' = 180° -A, b' = 180° - B, etc. (this expression becomes cos A = — cos B cos C + sin B sin C cos a.
Página 184 - If two straight lines cut one another within a circle, the rectangle contained by the segments of one of them, is equal to the rectangle contained by the segments of the other.
Página 78 - Equiangular parallelograms have to one another the ratio which is compounded of the ratios of their sides.
Página 184 - To make a triangle of which the sides shall be equal to three given straight lines, but any two whatever of these must be greater than the third (20.
Página 184 - If a straight line be bisected, and produced to any point ; the rectangle contained by the whole line thus produced, and the part of it produced, together with the square on half the line bisected, is equal to the square on the straight line which is made up of the half and the part produced.
Página 163 - All the interior angles of any rectilineal figure, together with four right angles, are equal to twice as many right angles as the figure has sides.
Página 184 - In right angled triangles the square on the side subtending the right angle is equal to the (sum of the) squares on the sides containing the right angle.
Página 154 - If two straight lines be cut by parallel planes, they shall be cut in the same ratio. Let the straight lines AB, CD be cut by the parallel planes GH, KL, MN, in the points A, E, B; C, F, D : As AE is to EB, so is CF to FD.