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affordable web hosting business Rectangles are one and we've pretty much beaten them into the ground in the previous section. Lines are another. Within a graphics context there is one key line drawing method, drawLine(int x1, int y1, int x2, int y2). This method draws a straight line between the point (x1, y1) and the point (x2, y2). Here's a simple applet that draws a line diagonally across the applet frame:import java.
affordable web hosting business applet.Applet; import java.awt.*; public class SimpleLine extends Applet { int AppletHeight, AppletWidth; public void init() { Dimension d = size(); AppletHeight = d.height; AppletWidth = d.
affordable web hosting business width; } public void paint(Graphics g) { g.drawLine(0, 0, AppletWidth, AppletHeight); }} Graphing FunctionsWe're now going to demonstrate the use of the drawLine() method to draw considerably non-straight figures. It is shown in advanced calculus that any reasonably well-behaved (should that be differentiable?) function can be approximated arbitrarily well by straight lines where quantities like &well-behaved" and "arbitrarily are precisely defined. I'll spare you the details of the mathematical proof, but I will demonstrate its probability to you by producing an applet that does a very good job of graphing any function you care to throw at it. As usual we'll develop it in pieces rather than just throwing it all out at once.
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