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. 1912 Excerpt: ... These graphs are illustrated in Fig. 118. The intersection gives x =2 and y =--3. An enlargement of the horizontal scale would define the ...Read MoreThis 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. 1912 Excerpt: ... These graphs are illustrated in Fig. 118. The intersection gives x =2 and y =--3. An enlargement of the horizontal scale would define the intersection more distinctly. Ex. 13. Determine the solution of the following simultaneous equations: These equations are illustrated in Fig. 119. Upon examination it is seen that the intercepts for (b) are close together and there fore a third point should be plotted for (b) to give a more accurate result. Prepare the tables for (a) and (6) and check the graphic by the algebraic solution. The first step is to simplify (a) by dividing it by 5. Ex. 14. Determine the solution of the following simultaneous equations: (a) 4x-6y= 8, (6) 6x-y =25. These equations are illustrated in Fig. 120. An examination of the figure shows an extreme case in which (6) should not have been drawn through the y axis. A point midway between the two plotted points would have given an equal accuracy with considerable saving of paper. Prepare the tables accordingly and check the work by an algebraic solution. CHAPTER XVI NON-LINEAR ALGEBRAIC EQUATIONS 1. The first degree equation (1) is called a linear formula from the fact that it corresponds to a straight line graph when plotted to two rectangular axes. (1) y = a+bx. (2) yi=bx. We have observed that (2) is a special form of (1) when the a term becomes zero. (1) and (2) have the same slope and are therefore parallel lines. If the distance a is added to (2) then (1) may be written (3), (3) y = a+yu The interpretation of (3) states that the ordinates of curve (1) are a greater than the ordinates of (2). The two elements which change the position of a line are its slope b and its vertical axal intercepts a. 2. A non-linear equation is one which differs from (1) in some degree, i.e., one whose graph ...Read Less
Hardback w/o dust jacket, black cloth, covers show rubbing/cardboard on corners, previous owner inscriptions inside cover & front endpaper, 651 pages, bumped corner, one page has 2" tear, index, text is clean & unmarked, good condition. NOTE: 1914 date comes from Preface to Corrected First Edition. Actually publication date may be a few years later.
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