New Elementary Algebra: Designed for the Use of High Schools and AcademiesLeach, Shewell and Sanborn, 1879 - 336 pàgines |
Altres edicions - Mostra-ho tot
New Elementary Algebra: Designed for the Use of High Schools and ..., Llibre 1 Benjamin Greenleaf Visualització completa - 1879 |
New Elementary Algebra: Designed for the Use of High Schools and Academies Benjamin Greenleaf Visualització completa - 1883 |
Frases i termes més freqüents
a b c a² b² algebraic quantities arithmetical arithmetical means binomial factors cents Clearing of fractions coefficient common difference completing the square cube root Define degree denote dividend division entire quantity equa equations containing Explain the operation Explain the solution expression Extract the square Find the greatest Find the least Find the product Find the sum find the values fractional form Given x² greatest common divisor indicated last term least common multiple letter lowest terms mixed quantity monomial Multiply negative exponents NOTE number of terms obtain ounces parenthesis polynomial proportion quadratic equation quan quotient ratio Reduce remainder Repeat the Rule second member second operation SIMPLE EQUATIONS simplest form solution of Problem Solve square root subtracted Theorem tion tity transposing unknown quantity Whence
Passatges populars
Pàgina 95 - Reduce compound fractions to simple ones, and mixt numbers to improper fractions ; then multiply the numerators together for a new numerator, and the denominators for. a new denominator.
Pàgina 289 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Pàgina 267 - If any number of quantities are proportional, any antecedent is to its consequent as the sum of all the antecedents is to the sum of all the consequents. Let a : b = c : d = e :f Now ab = ab (1) and by Theorem I.
Pàgina 280 - ... that is, Any term of a geometric series is equal to the product of the first term, by the ratio raised to a power, whose exponent is one less than the number of terms. EXAMPLES. 1.
Pàgina 51 - 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.
Pàgina 259 - It is required to divide the number 40 into two such parts, that the sum of their squares shall be 818. Ans. 23 and 17.
Pàgina 54 - ... 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.
Pàgina 259 - Divide the number 60 into two such parts, that their product shall be to the sum of their squares in the ratio of 2 to 5. Ans. 20 and 40.
Pàgina 270 - ... two triangles are to each other as the products of their bases by their altitudes.
Pàgina 168 - Which proves that the square of a number composed of tens and units contains, the square of the tens plus twice the product of the tens by the units, plus the square of the units.