An Introduction to the Calculus (Classic Reprint)

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Excerpt from An Introduction to the CalculusIf pairs of numbers are chosen at random and the points plotted which have these numbers as coordinates, there will be no orderly arrangement among the points: they will be scattered all over the diagram. If, however, the coordinates are connected by an equation the case is altered, the points will now be arranged in a manner that suggests a definite curve on which they all lie. This curve is called the graph of the equation while, in reference to the curve, the equation is called the equation of the graph Other phrases are often used to express the connection between the equation and the graph. Thus, the equation is said to be represented by the graph, while the graph is said to be given by the equation, the curve is, so to speak, the geometrical counterpart, or picture, of the equation.About the PublisherForgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.comThis book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully, any imperfections that remain are intentionally left to preserve the state of such historical works.