Mathematical Exercises ...1867 |
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Page 39
... given for £ 533 6s . 8d . stock ? What rate of interest will be obtained by purchasing three per cents . at 914 ? 11. Define simple and compound interest . Find the present value of £ 252 19s . 3d . due a year hence at 3 per cent .; and ...
... given for £ 533 6s . 8d . stock ? What rate of interest will be obtained by purchasing three per cents . at 914 ? 11. Define simple and compound interest . Find the present value of £ 252 19s . 3d . due a year hence at 3 per cent .; and ...
Page 84
... given parallelogram . 13. Show how to describe a circle to touch a given circle and a given straight line , so that the straight line joining the points of contact may be equal to a given straight line . How many such circles can be ...
... given parallelogram . 13. Show how to describe a circle to touch a given circle and a given straight line , so that the straight line joining the points of contact may be equal to a given straight line . How many such circles can be ...
Page 85
... given triangle ; and find its radius when the sides of the triangle are 60 , 80 , and 100 ft . 11. Find the side of a regular hexagon which shall be equal in area to an equilateral triangle whose side is 150 ft . 12. A body of infantry ...
... given triangle ; and find its radius when the sides of the triangle are 60 , 80 , and 100 ft . 11. Find the side of a regular hexagon which shall be equal in area to an equilateral triangle whose side is 150 ft . 12. A body of infantry ...
Page 91
... given log 2 = 3010300 . LXI . 1. If x3 ( 1 — b2 ) = ab , and y3b2 = a1-62 , prove that x2y2 = a√ / x2 + y2 . 2. If xz + yx - yz = 2a2 ( a ) xy + yz — xz = 2b2 ( 6 ) prove that yz + xz - xy = 2c2 ( y ) ) __ ( c2 + a2 ) ( b2 + a2 ) b2 + ...
... given log 2 = 3010300 . LXI . 1. If x3 ( 1 — b2 ) = ab , and y3b2 = a1-62 , prove that x2y2 = a√ / x2 + y2 . 2. If xz + yx - yz = 2a2 ( a ) xy + yz — xz = 2b2 ( 6 ) prove that yz + xz - xy = 2c2 ( y ) ) __ ( c2 + a2 ) ( b2 + a2 ) b2 + ...
Page 98
... given the first and the last terms and the num- ber of terms in a geometric progression , find the intermediate terms . Sum the series ( +1 ) , 2 + 1 , 1 , n- n- — 1 to infinity . n + 1 8. A cricket club has 20 members ; how many ...
... given the first and the last terms and the num- ber of terms in a geometric progression , find the intermediate terms . Sum the series ( +1 ) , 2 + 1 , 1 , n- n- — 1 to infinity . n + 1 8. A cricket club has 20 members ; how many ...
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acres angle axis ball base binomial theorem bisected body CALC cent centre of gravity circle coefficient of friction compound interest cube cubic curve determine diameter Divide dwts ellipse equal equilibrium Express Extract the square feet Find the area Find the centre Find the distance Find the equation find the height Find the number Find the value fluid forces acting given horizontal plane inches inclined plane inscribed intersect latus rectum length logarithms lowest terms Multiply parabola parallel particle perpendicular plane triangle pressure Prove pulleys radius rectangular recurring decimal Reduce right-angled sides simple interest Simplify sin² sine smooth Solve the equations square root straight line string surface tangent tons tower TRIG velocity vertex vertical vulgar fractions weight yards
Popular passages
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Page 378 - The square described on the hypothenuse of a rightangled triangle is equal to the sum of the squares described on the other two sides.
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Page 229 - Hence the conditions of equilibrium of any system of forces, acting in one plane upon a rigid body, may be obtained as follows ; I.
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Page 88 - A number is divisible by 9 if the sum of its digits is divisible by 9.
Page 295 - Assuming the parallelogram of forces, prove that the algebraic sum of the moments of two forces about a point in the space between their directions is the same as the moment of their resultant.
Page 169 - One company guarantees to pay 5 per cent. on shares of £100 each; another guarantees at the rate of 4f per cent.