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

Durrie & Peck, 1844 - 252 σελίδες

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Περιεχόμενα

 Introduction 13 Addition of Powers 105 20 Operations stated in common language translated into algebraic 21 Adding quantities which are alike and have like signs 27 Proof 33 Multiplication illustrated c 39 Division illustrated c 44 47 SECTION VI 53
 To involve a binomial or residual quantity 97 Subtraction of Powers 106 Greatest Common Measure 112 Powers of Roots 118 Reduction of Radical Quantities 124 Subtraction of Radical Quantities 131 Division of Radical Quantities 137 SECTION X 144

 Addition of Fractions 63 Simple Equations illustrated c 71 Clearing of Fractions c 77 General Rule for solving Simple Equations 83 SECTION VIII 91
 Quadratic Equations Pure and Affected 151 Demonstration of the second method c 157 General Rule for reducing Quadratic Equations 163 Two Unknown Quantities 173

Δημοφιλή αποσπάσματα

Σελίδα 232 - Thus the proposition, that the sum of the three angles of a triangle is equal to two right angles, (Euc.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 58 - Multiply each numerator into all the denominators except its own for a new numerator, and all the denominators together for a common denominator.
Σελίδα 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.
Σελίδα 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...