Mathematical Exercises ...: Examples in Pure Mathematics, Statics, Dynamics, and Hydrostatics. With Tables ... and ReferencesLongmans, Green & Company, 1877 - 413 σελίδες |
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Αποτελέσματα 1 - 5 από τα 44.
Σελίδα 34
... Least Common Multiple of two or more numbers ? Find that of 18 , 51 , 34 , 7 , 30 . 6. Reduce 2168 , 285714 , to their lowest terms . 7. Add together ( 1 ) 51 , 319 , 114. ( 2 ) To , H , H. 11 13 8. Simplify 613-4110 ÷ 15 9. Find the ...
... Least Common Multiple of two or more numbers ? Find that of 18 , 51 , 34 , 7 , 30 . 6. Reduce 2168 , 285714 , to their lowest terms . 7. Add together ( 1 ) 51 , 319 , 114. ( 2 ) To , H , H. 11 13 8. Simplify 613-4110 ÷ 15 9. Find the ...
Σελίδα 35
... least number which added to 152181255 will make it exactly divisible by 3854 . 3. Find the total weight of a luggage train of 23 carriages , the average weight of each carriage being 3 tons 5 cwts . 1 qr . 23 lbs . 4. From £ 1076 4s . 3 ...
... least number which added to 152181255 will make it exactly divisible by 3854 . 3. Find the total weight of a luggage train of 23 carriages , the average weight of each carriage being 3 tons 5 cwts . 1 qr . 23 lbs . 4. From £ 1076 4s . 3 ...
Σελίδα 45
... least fraction which , when added to the sum of 3 , 7 , and 12 , will make the result a whole number . XXVII . 1. Find the difference between 17 tons 14 cwt . 1 qr . 17 lbs . and 19 tons 12 cwt . 3 qrs . , and multiply the result by 175 ...
... least fraction which , when added to the sum of 3 , 7 , and 12 , will make the result a whole number . XXVII . 1. Find the difference between 17 tons 14 cwt . 1 qr . 17 lbs . and 19 tons 12 cwt . 3 qrs . , and multiply the result by 175 ...
Σελίδα 64
... least common multiple of the expressions- x3 - 7x2 + 33x - 63 and x3 - 6x2 + 30x - 63 . Find the value of r when the two expressions x2 - 9x + 20 , and x2− ( r + 3 ) x + 3r have a common factor . с 4. If = prove that a + b_c + d and ...
... least common multiple of the expressions- x3 - 7x2 + 33x - 63 and x3 - 6x2 + 30x - 63 . Find the value of r when the two expressions x2 - 9x + 20 , and x2− ( r + 3 ) x + 3r have a common factor . с 4. If = prove that a + b_c + d and ...
Σελίδα 66
... least common multiple of ( 1 - x ) , ( 1 - x2 ) 2 , ( 1 + x ) 3 . Reduce to its lowest terms- 3x3-27ax2 + 78a2x - 72a3 2x3 + 10ax2-4a2x— 48a3 * 4. If 3x = 2 / 9 , what is x ? 3 / 9-3 / 6 + 3 / 4 3 * + 2 Prove - : 5 . 3 / 9 + 6 + 43-2 5 ...
... least common multiple of ( 1 - x ) , ( 1 - x2 ) 2 , ( 1 + x ) 3 . Reduce to its lowest terms- 3x3-27ax2 + 78a2x - 72a3 2x3 + 10ax2-4a2x— 48a3 * 4. If 3x = 2 / 9 , what is x ? 3 / 9-3 / 6 + 3 / 4 3 * + 2 Prove - : 5 . 3 / 9 + 6 + 43-2 5 ...
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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
Δημοφιλή αποσπάσματα
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 78 - Equiangular parallelograms have to one another the ratio which is compounded of the ratios of their sides.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.