Elementary AlgebraAmerican Book Company, 1908 - 407 páginas |
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Página 6
... Literal Linear Equations , Problems Problems leading to Fractional Linear Equations XV . Applications of General Symbols , Review The General Statement of a Problem Use of Physical Formulas Transformation of Formulas 144 147 149 · 154 ...
... Literal Linear Equations , Problems Problems leading to Fractional Linear Equations XV . Applications of General Symbols , Review The General Statement of a Problem Use of Physical Formulas Transformation of Formulas 144 147 149 · 154 ...
Página 7
... Literal Forms • 185 Problems producing Simultaneous Linear Equations The Discussion of a Problem . 187 193 XVII . Graphical Representation of Linear Equations 197 Graph of a Point 197 Graph of a Linear Equation in Two Unknown Numbers ...
... Literal Forms • 185 Problems producing Simultaneous Linear Equations The Discussion of a Problem . 187 193 XVII . Graphical Representation of Linear Equations 197 Graph of a Point 197 Graph of a Linear Equation in Two Unknown Numbers ...
Página 9
... literal number symbols are employed . To illustrate : ( a ) The area of a rectangle is equal to the product of its height , or altitude , by its length , or base . Or , arith- metically , b a Area altitude x base . = Using only the ...
... literal number symbols are employed . To illustrate : ( a ) The area of a rectangle is equal to the product of its height , or altitude , by its length , or base . Or , arith- metically , b a Area altitude x base . = Using only the ...
Página 10
... literal symbols . D Thus Dividend ÷ divisor = quotient . That is , = q . d divisor x quotient = Dividend . Or , dx q = D. 4. In a more extended manner the literal symbol permits a breadth and power of expression not hitherto possible ...
... literal symbols . D Thus Dividend ÷ divisor = quotient . That is , = q . d divisor x quotient = Dividend . Or , dx q = D. 4. In a more extended manner the literal symbol permits a breadth and power of expression not hitherto possible ...
Página 11
... literal or general symbol for number is clearly manifest . The later processes of algebra will con- stantly furnish the means wherewith we may broaden our power of expression , and the meaning of algebra will be interpreted as merely an ...
... literal or general symbol for number is clearly manifest . The later processes of algebra will con- stantly furnish the means wherewith we may broaden our power of expression , and the meaning of algebra will be interpreted as merely an ...
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Términos y frases comunes
a²x affected quadratic equation algebraic expression arithmetical means arithmetical progression ax² binomial coefficient cube root derive a formula difference digits dividend division divisor equal factors Exercise exponent feet Find the number Find the sum Find the value fraction geometrical progression given equation given expression given number Hence highest common factor Illustrations imaginary numbers indicated integral LINEAR EQUATIONS literal logarithm lowest common multiple m³n mantissa monomial Multiply number of terms obtain parenthesis Plot the graph polynomial principle proportion quadratic equation quadratic surd quotient radical radicand remainder required number Result second term Simplify smaller number solution Solve the equations square root Substituting subtracted surd symbols Transposing unknown number unknown quantity Whence
Pasajes populares
Página 57 - Divide the first term of the dividend by the first term of the divisor, and write the result as the first term of the quotient. Multiply the whole divisor by the first term of the quotient, and subtract the product from the dividend.
Página 9 - The area of a rectangle is equal to the product of its base and altitude. Given R a rectangle with base b and altitude a. To prove R = a X b. Proof. Let U be the unit of surface. .R axb U' Then 1x1 But - is the area of R.
Página 373 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Página 335 - 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.
Página 373 - The logarithm of a quotient is equal to the logarithm of the dividend minus the logarithm of the divisor.
Página 156 - At what time between 4 and 5 o'clock are the hands of a clock exactly opposite each other ? 7.
Página 321 - In any proportion, the product of the means equals the product of the extremes.
Página 87 - ... the square of the second. _ Again, (a — by = (a — 5) (a — 5) = a2 — 2a6 + 52. (2) That is, 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.
Página 318 - If the product of two quantities is equal to the product of two others, one pair may be made the extremes, and the other pair the means, of a proportion.
Página 367 - The foregoing method is based on the assumption that the differences of logarithms are proportional to the differences of their corresponding numbers, which, though not strictly accurate, is sufficiently exact for practical purposes.