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Growth Curve: The ordinate, y, is proportional to 8, the angle between OL and OA, and since y=l, when circle is the mean proportional between the length of the quadrant and the abscissa of the intersection of the curve with the axis of X. Hence any apparatus that will describe the quadratrix will enable us to determine T graphically. Evidently the curve 7 = sin w-1* is much more convenient for this purpose, since T is one of the ordinates of this curve when x equals zero; but this curve does not appear to have been used by the Greeks.
What had caused the sag in the growth curve? It was no single event, but a series of circumstances—some of which were brought on by the growth itself. Suddenly, in the words of Jerome Wiesner, special assistant to Pres. John F. Kennedy for science and technology, the chunk of the federal budget that was going to support science and technology "became visible."
The area oabc on this curve represents the total amount of power available during a year. The area odbc is proportional to the annual primary or firm power. For a proposed water power plant having an installed capacity three times (300 percent) the firm power capacity, the area defb is proportional to the annual secondary or surplus power. The power of area eaf is wasted. By construction of a storage reservoir it is possible to store some water during flood periods and release it during periods of low flow, thus increasing the primary power to the area ojhc and changing the flow-duration curve at the power site to the curve in the figure marked with storage. The economics of proposed installations can be investigated with the aid of this curve to ascertain the significance of changes in selected power capacity and reservoir capacity.
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