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• DRAW STRAIGHT LINES IN WORD 2011 FOR MAC SERIES

In order to make the behavior of this set of parametric equations even more clear, we can add arrows to show the direction of particle motion. Unfortunately this does not seem to work consistently, and checking the “Auto” box does not seem to have any effect. When checked, text boxes are “attached” to the data on the plot, so that when the plot is rescaled, the text boxes move accordingly. In other words, the text boxes will become disassociated from the points they are supposed to label. If this box is not checked, resizing the plot will grow/shrink the curve, while the text boxes stay in their previous locations. The Attached to Real Field box is something of a mystery. Text boxes can also be modified with the Inspector (see above). In order to avoid the hassle of doing this for each and every text box, it is sometimes more efficient to make one text box with the appropriate font and formatting, and then use copy/paste to duplicate it as many times as needed: You can change the font of your text by selecting it and hitting right click. Fill it with your desired text, and then drag the box to where it needs to be: A text box will appear, usually in the center of the plot or some other inconvenient place.

Go to the Object menu, and select Insert Text. Unfortunately Grapher cannot do that automatically, but we can achieve the same thing with text boxes. To further clarify where the particle is at any given time, it would be helpful to label our points. So now we know exactly where our particle is at time t=0, t=π/6, t=π/3, etc.Īside – You can connect your discrete points with straight lines by selecting their equation in the Inspector and checking the Polygon box.

DRAW STRAIGHT LINES IN WORD 2011 FOR MAC SERIES

The second equation plotted the same trajectory as a series of discrete points at time intervals of π/6. The first equation plotted the trajectory as a smooth curve, since t varied continuously from 0 to 2π.

Note the different effects of the two equations. Make a duplicate of your original parametric equation, but change the continuous parameter “t” to a discrete parameter (I used “u”), with values stepping from 0 to 2π in π/6 intervals: The best way to do this is to use parameters. We want to plot several points, and we want them to be spaced along the curve. Plotting a point 2) is all very well, but it’s not germane to this particular graph. Here’s our point after setting Line=black, Fill=red, Marks=circle (which I adjusted in size), and Polygon=off: Voilá, our point! As with most things Grapher, we can modify the appearance of our point by selecting its equation in the Equation List and using the Inspector. Make a new equation (Command-Option-n), and plot a point at (x,y) = (3,2) as follows: Grapher handles individual points via matrix notation, which you can access from the Equation Palette: We therefore would like to plot individual points, as opposed to a continuous curve, on our graph.

It would be nice to be able to show the location of our particle at specific times, so that we can get a better idea of how it moves. Our particle starts at point (2,0) t=0, and moves through this looping, sinusoidal path (officially called a Lissajous curve) before finally returning to (2,0) time t=2π. Essentially, we are plotting the trajectory of a moving particle. While this graph is interesting, it can be a little confusing to interpret, especially for people unfamiliar with parametric equations. We’ll start with the parametric equation plot from the previous blog post: As before, click on any picture to enlarge. Not very exciting but sometimes useful for the purposes of decorating and/or clarifying your plot. To ease back into this blogging thing I decided to start with two relatively straightforward topics: plotting points and adding extras (arrows, labels, etc.). Nothing like tangling with an insurance company to suck the life out of you. Woot! We’re back! Apologies for the radio silence – real life has been kicking me in the teeth.