Mathematical Exercises ...: Examples in Pure Mathematics, Statics, Dynamics, and Hydrostatics. With Tables ... and ReferencesLongmans, Green & Company, 1877 - 413 σελίδες |
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Σελίδα 25
... half - a - crown is 3 of 6s . 8d . ? 7. If 24 men , working 8 hrs . a day , can build a house in 70 days , in how many days might it be built by 42 men , working 10 hrs . a day ? 8. Find , by Practice , ( 1 ) the price of 329 yds . 3 ...
... half - a - crown is 3 of 6s . 8d . ? 7. If 24 men , working 8 hrs . a day , can build a house in 70 days , in how many days might it be built by 42 men , working 10 hrs . a day ? 8. Find , by Practice , ( 1 ) the price of 329 yds . 3 ...
Σελίδα 32
... half a mile in length , to pass by , at the rate of 75 steps a minute , reckoning each step as 2 feet 8 inches ? 5. Explain clearly the meaning of a vulgar fraction . State the rule for the addition of vulgar fractions , and prove it by ...
... half a mile in length , to pass by , at the rate of 75 steps a minute , reckoning each step as 2 feet 8 inches ? 5. Explain clearly the meaning of a vulgar fraction . State the rule for the addition of vulgar fractions , and prove it by ...
Σελίδα 33
... half - crowns , shillings , and farthings , an equal number of each , are there in £ 169 ? 6. What is meant by the expression ? Give the rules for reducing whole numbers and mixed numbers с 3 COLLEGE OF PRECEPTORS PAPERS . 33 33.
... half - crowns , shillings , and farthings , an equal number of each , are there in £ 169 ? 6. What is meant by the expression ? Give the rules for reducing whole numbers and mixed numbers с 3 COLLEGE OF PRECEPTORS PAPERS . 33 33.
Σελίδα 36
... half - a - crown , and reduce the result to the fraction of £ 1 . 8. Find , by Practice , the value of ( 1 ) 397 things , at £ 3 28. 93d . each . ( 2 ) 135 sq . yds . 6 ft . 72 in . , at 28. 3d . per yard . 9. A grocer buys 200 lbs . of ...
... half - a - crown , and reduce the result to the fraction of £ 1 . 8. Find , by Practice , the value of ( 1 ) 397 things , at £ 3 28. 93d . each . ( 2 ) 135 sq . yds . 6 ft . 72 in . , at 28. 3d . per yard . 9. A grocer buys 200 lbs . of ...
Σελίδα 37
... half - guineas are there in a thousand half- crowns ; and in 28624 inches , how many furlongs , poles , yards , feet , and inches ? 2. How many steps of 2 ft . 9 in . each must be taken in a minute , in order to walk at the rate of four ...
... half - guineas are there in a thousand half- crowns ; and in 28624 inches , how many furlongs , poles , yards , feet , and inches ? 2. How many steps of 2 ft . 9 in . each must be taken in a minute , in order to walk at the rate of four ...
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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
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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.