## School Algebra, Volume 1 |

### Common terms and phrases

a+b+c Algebra arithmetic mean Arithmetic Progression ax² b₁ Binomial Theorem brackets c₁ cent common factor continued fraction curve decimal places denominator difference digits divided divisible Draw a graph Draw the graph equal Example expression feet Find the H. C. F. Find the number Find the square Find the sum Find the value formula geometrical progression Hence inches infinity length letters logarithms means miles an hour miles per hour Multiply negative number nth root obtained partial fractions pence points positive integers positive quantity powers Prove quadratic equation quotient ratio remainder Resolve into factors scale shillings side Simplify simultaneous equations solution Solve the equations square root straight line subtract Theorem Transpose Verify yards

### Popular passages

Page 227 - Pythagoras' theorem states that the square of the length of the hypotenuse of a right-angled triangle is equal to the sum of the squares of the lengths of the other two sides.

Page 164 - The product of the sum and difference of two quantities is equal to the difference of their squares.

Page 373 - Moon as 35 : 31, having given that the mass of Jupiter is 343 times that of the Earth, and that the Moon's period is 27'32 days. 22. The consumption of coal by a locomotive varies as the square of the velocity ; when the speed is 16 miles an hour the consumption of coal per hour is 2 tons : if the price of coal be 10».

Page 260 - B's. B and C together contributed $325. How much did each contribute ? 51. A grocer sold 80lb. of mace and l0Olb. of cloves for <£65 ; but he sold 60 pounds more of cloves for £20 than he did of mace for £10. What was the price of a pound of each ? 52. A and B, 165 miles distant from each other, set out with a design to meet.

Page 283 - Suppose a* = n, then x is called the logarithm ofnto the base a; thus the logarithm of a number to a given base is the index of the power to which the base must be raised to be equal to the number. The logarithm of n to the base a is written logaw; thus logaw = x expresses the same relation as a* = n.

Page 123 - The square of the difference of two quantities is equal to the square of the first minus twice the product of the first by the second, plus the square of the second.

Page 261 - A composition of copper and tin, containing 100 cubic inches, weighed 505 ounces ; how many ounces of each metal did it contain, supposing a cubic. inch of copper to weigh 5£ oz., and a cubic inch of tin to weigh 4J oz.

Page 372 - The pressure of wind on a plane surface varies jointly as the area of the surface, and the square of the wind's velocity. The pressure on a square foot is 1 Ib.

Page 261 - ... of each wheel be increased one yard, it will make only 4 revolutions more than the hind-wheel in the same space.

Page 373 - The time of a railway journey varies directly as the distance and inversely as the velocity. The velocity varies directly as the square root of the quantity of coal used per mile and inversely as the number of cars in the train. In a journey of 32 miles in f hour with 12 cars, J ton of coal is used.