## Elements of Algebra: Being an Abridgment of Day's Algebra, Adapted to the Capacities of the Young, and the Method of Instruction, in Schools and Academies |

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Elements of Algebra: Being an Abridgment of Day's Algebra, Adapted to the ... James Bates Thomson,Jeremiah Day No preview available - 2016 |

### Common terms and phrases

3d power 4th power Abridgment of Day's added antecedent arithmetical binomial Binomial Theorem changing the sign co-efficient common denominator common difference common index completing the square compound quantities contains cube root Day's Algebra denoted Divide the number dividend division divisor dollars equal factors equal quantities EXAMPLES FOR PRACTICE Expand expressed Find the square find two numbers following GENERAL RULE gallons geometrical geometrical progression given quantity greater Hence improper fraction integer inverted involution last term leading quantity less letter merator Mult multiplicand negative quantity nth root number of terms numerator and denominator positive principles Prob proportion quadratic equation quan QUEST.-How QUEST.-What quotient radical quantities radical sign ratio Reduce the equation remainder Required the cube Required the nth sides sign prefixed square root substitution subtracted subtrahend third tion tity Transposing twice unit unknown quantity whole

### Popular passages

Page 232 - Thus the proposition, that the sum of the three angles of a triangle is equal to two right angles, (Euc.

Page 252 - It is required to find three numbers in geometrical progression, such that their sum shall be 14, and the sum of their squares 84.

Page 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.

Page 198 - 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.

Page 94 - 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.

Page 91 - Four places are situated in the order of the letters A, B, C, D. The distance from A to D is 34 miles. The distance from A to B is to the distance from C io D as 2 to 3.

Page 210 - It may undergo any change which will not affect the equality of the ratios ; or which will leave the product of the means equal to the product of the extremes.

Page 58 - Multiply each numerator into all the denominators except its own for a new numerator, and all the denominators together for a common denominator.

Page 60 - RULE. Multiply all the numerators together for a new numerator, and all the denominators for a new denominator: then reduce the new fraction to its lowest terms.

Page 199 - It will be proper, however, to observe that, if four quantities are in arithmetical proportion, the sum of the extremes is equal to the sum of the means. Thus if a . . b : : h...