This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1909 Excerpt: ...constructions are used: (1) To construct a perpendicular to a line at a point on the line; (2) To construct a perpendicular to a line from a point without; (3) To bisect a line; (4) To bisect an angle; (5) To construct an angle equal to a given angle. 12. A median of a triangle is a straight line drawn from the mid ...
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This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1909 Excerpt: ...constructions are used: (1) To construct a perpendicular to a line at a point on the line; (2) To construct a perpendicular to a line from a point without; (3) To bisect a line; (4) To bisect an angle; (5) To construct an angle equal to a given angle. 12. A median of a triangle is a straight line drawn from the mid-point of a side to the vertex of the opposite angle. CHAPTER VIII THE FUNDAMENTAL OPERATIONS APPLIED TO INTEGRAL ALGEBRAIC EXPRESSIONS Addition of Monomials 112. The tickets for a football game are sold at 25 by John, Henry, Kenneth, William, and James. They report sales as follows: John sold 56 tickets, Henry 75, Kenneth 27, William 83, James, 69. At the gate 123 tickets are sold. Find the total receipts. Solution I: John, 56X25,1 = $14.00 Henry, 75X25?= 18.75 Kenneth, 27X25? = 6.75 William, 83X25?= 20.75 James, 69X25?= 17.25 Gate, 123X25?= 30.75 Total receipts $108.25 Solution II: John, 56 tickets, 56X25" Henry, 75 tickets, 75X25? Kenneth, 27 tickets, 27X25? William, 83 tickets, 83 X 25? James, 69 tickets, 69X25? Gate, 123 tickets, 123X25? 433 tickets, 433X25? = $io8.25 In Solution II the addition is simplified, because the different terms to be added have a common factor and they were therefore added by adding the coefficients of this factor in the different terms. 1. The tickets being sold at xfi, John sells 60 tickets, Henry 78, Kenneth 45, William 36, and James 84. At the gate 137 tickets are sold. Find the total receipts. I I I 1 I I Total receipts: 6o + 78 + 45-; + 36A; + 843;+i37- = 44o;s;. Again the different terms to be added had a common factor and the polynomial resulting from the addition could be simplified by adding the coefficients of the common factor in the different terms. Is Solution I of p. 153 possible in thi...
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