Elements of analysis as applied to the mechanics of engineering and machinery . ^ be expressed, at least within certain limits, bythe formula fa -f- ^A™2/ = I —7— I atmosjoheres; and we have from experiment within certain limits, a and ??i = 6. If, according to this, we put fib + x-\^ 15,6 Ho, Fig. M100 K and assume perfect accuracy for this formula, we obtain: For X = 100, y = T^Y = 1,000 atmospheres, (t x= 50 X 0\ 11 = yy = x=~1b% y llOoJ vnsJ 0,133 0,006 0,000 ELEMENTS OF ANALYSIS. [Art. 4. further, for x = 120, y = i - 175 J « ^ = 200*, y = = 1,914 atmospheres, The corresponding curve
Elements of analysis as applied to the mechanics of engineering and machinery . ^ be expressed, at least within certain limits, bythe formula fa -f- ^A™2/ = I —7— I atmosjoheres; and we have from experiment within certain limits, a and ??i = 6. If, according to this, we put fib + x-\^ 15,6 Ho, Fig. M100 K and assume perfect accuracy for this formula, we obtain: For X = 100, y = T^Y = 1,000 atmospheres, (t x= 50 X 0\ 11 = yy = x=~1b% y llOoJ vnsJ 0,133 0,006 0,000 ELEMENTS OF ANALYSIS. [Art. 4. further, for x = 120, y = i - 175 J « ^ = 200*, y = = 1,914 atmospheres, The corresponding curve is represented by P Q, Fig. 6; it passesthrough the axis of abcissas at a distance AO = — 75 from theorigin A of the co-ordinates, and through the axis of ordinates, at adistance AS=^ 0,006 from this same point; further, the ordinateMP < 1 corresponds to the abscissa AM 1, to the abscissa AN^ 100; and it may also be observed,not only that y increases to infinity with ^, but also, that the curveascends more and more perpendicularly the greater x becomes. Art. 4. A function z =f(x^ y) witli two independent variablesmay be illustrated by a curved surface B CD, Fig. 7, in which thesevariables x and y are represented by the abscissas A M and A N onthe axes A
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