Elementary Algebra

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Page 139 - That is, the square of the sum of two numbers is equal to the square of the first number, plus twice the product of the two numbers, plus the square of the second number.
Page 139 - The square of the sum of two numbers is equal to the square \ (¿ of the first, plus twice the product of the first and second, plus the J square of the second.
Page 53 - When the sum of two numbers and one of the numbers are given, to find the other number. From the given sum subtract the given number, and the remainder will be the other number.
Page 84 - A term may be transposed from one member of an equation to the other by changing its sign.
Page 227 - The exponent of the quotient of a power of a quantity by a power of the same quantity is equal to the exponent of the dividend minus the exponent of the divisor. dm H ence, — = a"1""1 = a°. am But — =1. am Hence, a° = 1. Since, a~n • a" = a~n+
Page 199 - The difference of two numbers is 5, and the sum of their squares is 697.
Page 72 - The product of two or more fractions is a fraction whose numerator is the product of the numerators of the given fractions and whose denominator is the product of the denominators of the given fractions.
Page 69 - To divide a polynomial by a monomial, divide each term of the polynomial by the monomial: (Sab — 12ac) -i- 4a = 36 — 3c.
Page 27 - ... angle, which is turned toward the observer. It is this system which is treated here (compare Descriptive Geometry, below). The complete presentation of a solid object requires its projection upon two planes, since upon one plane only two of its dimensions can be shown. In practice, these are taken at right angles to each other, one being horizontal and the other vertical. They are denoted by HP PROJECTION and VP, respectively. Their intersection is a straight line called the ground line, denoted...

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