Mathematical Exercises ...: Examples in Pure Mathematics, Statics, Dynamics, and Hydrostatics. With Tables ... and ReferencesLongmans, Green & Company, 1877 - 413 σελίδες |
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Σελίδα 24
... feet . 8. If £ 59 10s . will buy 25 cwts . 2 qrs . of sugar , what weight will £ 6 14s . 2d . buy ? 9. If the ld . loaf weighs 5 oz . when wheat is 62s . per qr . , what ought it to weigh when wheat is 64s . per quarter ? 10. Find , by ...
... feet . 8. If £ 59 10s . will buy 25 cwts . 2 qrs . of sugar , what weight will £ 6 14s . 2d . buy ? 9. If the ld . loaf weighs 5 oz . when wheat is 62s . per qr . , what ought it to weigh when wheat is 64s . per quarter ? 10. Find , by ...
Σελίδα 25
... feet and inches , are there in 175893 solid inches ? And ( 2 ) how many square yds . , ft . and in . are there in the top of a table , the sides of which are 21 ft . 7 in . and 19 ft 5 in . ? 5. ( 1 ) Multiply 43 of of 15 by 1 of 122 ...
... feet and inches , are there in 175893 solid inches ? And ( 2 ) how many square yds . , ft . and in . are there in the top of a table , the sides of which are 21 ft . 7 in . and 19 ft 5 in . ? 5. ( 1 ) Multiply 43 of of 15 by 1 of 122 ...
Σελίδα 30
... 71⁄2d . by 346 ; ( 2 ) divide 2665 miles 2 furl . 31 poles yard by 58 . 2. A train is travelling at the rate of 32 miles per hour ; over how many feet does it pass per second ? 3. If 84 men can do a piece of work 30 CIVIL SERVICE PAPERS .
... 71⁄2d . by 346 ; ( 2 ) divide 2665 miles 2 furl . 31 poles yard by 58 . 2. A train is travelling at the rate of 32 miles per hour ; over how many feet does it pass per second ? 3. If 84 men can do a piece of work 30 CIVIL SERVICE PAPERS .
Σελίδα 32
... 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 an example . 6. ( 1 ) Add together ( 2 ) From 23 of 4 ( 3 ) Divide 5+ 3 7. How often is of £ 1 + ...
... 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 an example . 6. ( 1 ) Add together ( 2 ) From 23 of 4 ( 3 ) Divide 5+ 3 7. How often is of £ 1 + ...
Σελίδα 34
... feet long 14 feet wide will floor a room 60 feet long by 30 feet wide ? XVI . 1. Reduce 53 tons 4 cwts . 77 lbs . to ounces ; and 1 mile 5 furl . 13 poles 2 inches , to inches . 2. What is the value of 687 Napoleons , a Napoleon being ...
... feet long 14 feet wide will floor a room 60 feet long by 30 feet wide ? XVI . 1. Reduce 53 tons 4 cwts . 77 lbs . to ounces ; and 1 mile 5 furl . 13 poles 2 inches , to inches . 2. What is the value of 687 Napoleons , a Napoleon being ...
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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.