A Practical Treatise on Algebra: Designed for the Use of Students in High Schools and AcademiesRobert S. Davis & Company, 1856 - 360 σελίδες |
Συχνά εμφανιζόμενοι όροι και φράσεις
A's gain Academy acres added amount antecedent arithmetical progression binomial breadth bushels common denominator common difference Completing the square compound interest contains cube root cubic distance Divide dividend divisor earth equal Evolving EXAMPLES exponent expressed Extract the square extremes factors find the sum find the values following RULE formula four quantities fraction geometrical geometrical progression geometrical series greater Greenleaf's Algebra Hence High School ILLUSTRATION BY NUMBERS inches last term less letters logarithm miles minus Multiply NATIONAL ARITHMETIC negative number of terms number or quantity obtain Principal PROP pupil quadratic equation quantities are proportionals quotient rate per cent ratio Reduce remainder Required the number Required the sum second power second term shillings sides square rods square root subtract surd third power Transposing transposition unknown quantity values of x VERIFICATION whole number yards
Δημοφιλή αποσπάσματα
Σελίδα 103 - J- of the sum of the shares of the other three, the share of the second £ of the sum of the other three, and the share of the third £ of the sum of the other three ; and it was found that the share of the oldest exceeded that of the youngest by $14.
Σελίδα 40 - 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.
Σελίδα 196 - A square court yard has a rectangular gravel walk round it. The side of the court wants 2 yards of being 6 times the breadth of the gravel walk ; and the number of square yards in the walk exceeds the number of yards in the periphery of the court by 164. Required the area of the court ? All equations of the second degree may be reduced to one of the following forms.
Σελίδα 239 - There are four numbers in geometrical progression, the second of which is less than the fourth by 24 ; and the sum of the extremes is to the sum of the means, as 7 to 3. What are the numbers ? Ans.
Σελίδα 282 - BY LOGARITHMS. RULE. FROM the logarithm of the dividend subtract the logarithm of the divisor, and the number answering to the remainder will be the quotient required.
Σελίδα 278 - And if the given number be a proper vulgar fraction ; subtract the logarithm of the denominator from the logarithm of the numerator, and the remainder will be the logarithm sought ; which, being that of a decimal fraction, must always have a negative index.
Σελίδα 122 - Multiply the index of the quantity by the index of the power to which it is to be raised, and the result will be the power required.
Σελίδα 272 - N : so that the common log. of any number 10° or N, is n the index of that power of 10 which is equal to the said number. Thus 100, being the second power of 10, will have 2 for its logarithm : and 1000, being the third power of 10, will have 3 for its logarithm: hence also, if 50 be = lo>">»<"", then is 1-69897 the common log.
Σελίδα 338 - In a parcel which contains 24 coins of silver and copper, each silver coin is worth as many pence as there are copper coins, and each copper coin is worth as many pence as there are silver coins, and the whole is worth 18 shillings. How many are there of each ? Ans. 6 of one, and 18 of the other.
Σελίδα 299 - Then, as the difference of these results is to the difference of the two assumed numbers, so is the difference between the true result, given...