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abscissa according added addition algebraic altered antecedent applied arithmetic become calculation called changed co-efficients common Completing compound connected consequent considered contains cube curve demonstration denominator determine difference diminished divided dividend division divisor effect equal equation Euclid evident examples exponents expressed Extracting extremes factors figure four fourth fraction frequently geometrical give given greater half Hence inches increased infinite instances known length less letters manner mathematics means method Mult multiplied nature necessary negative notation Note obtain positive preceding principle Prob problem progression proportion proposition quotient radical ratio reciprocal Reduce Reduce the equation remainder root rule shows sides simple square square root substituted subtracted supposed taken taking third tion Transp Transposing twice unit unknown quantity varies whole
Σελίδα 214 - In an arithmetical progression, the sum of the extremes is equal to the sum of any other two terms equally distant from the extremes.
Σελίδα 265 - The operation consists in repeating the multiplicand as many times as there are units in the multiplier.
Σελίδα 227 - 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.
Σελίδα 189 - If four quantities are proportional, THE ORDER OF THE MEANS, OR OF THE EXTREMES, OR OF THE TERMS OF BOTH COUPLETS, MAY BE INVERTED, WITHOUT DESTROYING THE PROPORTION.
Σελίδα 40 - We have seen that multiplying by a whole number, is taking the multiplicand as many times as there are units in the multiplier.
Σελίδα 85 - If four magnitudes are in proportion, the product of the two extremes is equal to the product of the two means.
Σελίδα 187 - When there is a series of quantities, such that the ratios of the first to the second, of the second to the third, of the third to the fourth, &c., are all equal ; the quantities are said to be in continued proportion.
Σελίδα 60 - The Value of a fraction is the quotient of the numerator divided by the denominator.