Mathematical Exercises ...: Examples in Pure Mathematics, Statics, Dynamics, and Hydrostatics. With Tables ... and ReferencesLongmans, Green & Company, 1877 - 413 σελίδες |
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Σελίδα 22
... cent . on £ 963 15s . 6. What is the income of a person who pays £ 22 7s . 5d . for income - tax at the rate of 7d . in the pound ? 7. Find the value of 136 at £ 1 7s . 2d . 8. What is the expense of digging a ditch of which the solid ...
... cent . on £ 963 15s . 6. What is the income of a person who pays £ 22 7s . 5d . for income - tax at the rate of 7d . in the pound ? 7. Find the value of 136 at £ 1 7s . 2d . 8. What is the expense of digging a ditch of which the solid ...
Σελίδα 23
... cent . 10. What sum of money put out at interest , for 6 yrs . , at 3 per cent . , will amount to £ 259 2s . 10d . ? 11. A ship is worth £ 16,000 , and a person possessing of ber , sells of his share , how much is the remainder of his ...
... cent . 10. What sum of money put out at interest , for 6 yrs . , at 3 per cent . , will amount to £ 259 2s . 10d . ? 11. A ship is worth £ 16,000 , and a person possessing of ber , sells of his share , how much is the remainder of his ...
Σελίδα 24
... cent . simple interest . 10. If telegraph posts are 66 yards apart , and a train passes one every 3 " , how fast is the train moving ? 11. If of 1 qr . cost 54s . , find the cost of of 1 bushel . 12. A coach goes 9 mi . an hour , and a ...
... cent . simple interest . 10. If telegraph posts are 66 yards apart , and a train passes one every 3 " , how fast is the train moving ? 11. If of 1 qr . cost 54s . , find the cost of of 1 bushel . 12. A coach goes 9 mi . an hour , and a ...
Σελίδα 25
... cent . per annum. ́ 12. At what rate per cent . , simple interest , will £ 951 7s . 6d . amount to £ 1141 13s . in 5 years ? V. 1. The Norman Conquest took place in 1066 A.D. , the accession of Queen Victoria in 1837 ; how many years ...
... cent . per annum. ́ 12. At what rate per cent . , simple interest , will £ 951 7s . 6d . amount to £ 1141 13s . in 5 years ? V. 1. The Norman Conquest took place in 1066 A.D. , the accession of Queen Victoria in 1837 ; how many years ...
Σελίδα 26
... cent . will amount to £ 1602 11d . ? 9. In what time will £ 1337 12s . 1d . amount to £ 1698 15s . 1 d . , at 6 per cent . simple interest ? 10. If £ 3 = 20 thalers , 25 thalers = 93 francs , 62 francs = 25 gulden : how many gulden are ...
... cent . will amount to £ 1602 11d . ? 9. In what time will £ 1337 12s . 1d . amount to £ 1698 15s . 1 d . , at 6 per cent . simple interest ? 10. If £ 3 = 20 thalers , 25 thalers = 93 francs , 62 francs = 25 gulden : how many gulden are ...
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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.