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End point = @2,0
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Figure 4-4: A line whose start point could be anywhere and whose endpoint is specified with the relative point @2,0 is a horizontal line two units long.
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Relative Cartesian coordinates are often used for lines drawn at 90-degree angles, that is, are either horizontal or vertical. These are called orthogonal lines. When you create a diagonal line from point 3,3 to point @2,5 you don t know how long the line is. When you specify a positive number such as the 2 in @2,0, AutoCAD assumes the positive direction. However, if you want to draw a line in the negative direction of an axis, type a minus sign before the number. Figure 4-5 shows how to draw lines in four directions using relative coordinates.
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Figure 4-5: Drawing lines in the four orthogonal directions using relative coordinates. The arrow on each line shows the direction of the line.
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Another common situation is to know the distance and angle of a point from either 0,0 or a previous point. In this case, you can use polar coordinates, which can be either absolute or relative. Most commonly, you use relative polar coordinates. Polar coordinates take the form distance<angle. (To type the angle symbol, use the less than sign on your keyboard.) Relative polar coordinates must have the @ sign before the coordinate.
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21 explains more about coordinates in 3D drawings.
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Angles are almost universally measured according to the diagram in Figure 4-6, although AutoCAD enables you to change this system. The positive and negative angles shown next to each other are interchangeable. Use whichever is more meaningful to you. In the following series of steps, you draw part of a portico, the decorative molding above a door or window. Because it is an architectural design, you use architectural units. In this case, only inches are used, which don t need to be specified. You can specify feet by using an apostrophe (also called a prime) after any number. When typing architectural units, partial inches are indicated by fractions in the form 3/4. You need to separate the fraction from the whole inches by a hyphen. This can be a little confusing because the hyphen is also used for negative numbers. For example, to draw a horizontal line of 5 1 4 inches to the left, you would type @-5-1/4,0. (The 0 indicates no change in the Y axis because it is a horizontal line.)
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4 Specifying Coordinates
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270 -90 Figure 4-6: The standard angle measurement system
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On the CD-ROM
The drawing used in this Step-by-Step exercise on using relative and polar coordinates, ab4-a.dwg, is in the Drawings folder of the AutoCAD 2002 Bible CD-ROM.
Step-by-Step: Using Relative and Polar Coordinates
1. Open ab4-a.dwg from the CD-ROM. As you move your mouse around, notice that the coordinates displayed on the status bar are in architectural units, that is, in feet and inches. If the coordinates are grayed out, click them, or press the F6 key. 2. Choose File Save As and save the drawing in your AutoCAD Bible folder as ab4-2.dwg.
The next steps involve some complex typing. If you get an error message from AutoCAD, try typing the coordinate again. If you realize you made a mistake after ending the command, click Undo on the Standard toolbar.
3. Start the LINE command. Follow the prompts:
Specify of your Specify Specify Specify Specify Specify first point: Pick any point at the lower-left corner screen. next point or [Undo]: @0,-3/4 next point or [Undo]: @75-1/4,0 next point or [Close/Undo]: @0,3/4 next point or [Close/Undo]: @-75-1/4,0 next point or [Close/Undo]: to end the command.
Part I AutoCAD Basics
4. Start the LINE command again. Follow the prompts:
Specify first point: . This starts the line at the last endpoint you specified. Specify next point or [Undo]: @4-3/4,0 Specify next point or [Undo]: @43<40 Specify next point or [Close/Undo]: @43<320 Specify next point or [Close/Undo]: @-2-1/4,0 Specify next point or [Close/Undo]: @39-7/8<140 Specify next point or [Close/Undo]: @39-7/8<220 Specify next point or [Close/Undo]: to end the command.
5. Save your drawing. You have created a portion of a portico, which goes over a window of a house, as shown in Figure 4-7.
Figure 4-7: Part of a portico over a window, drawn using relative Cartesian and polar coordinates in architectural notation
You can type @ at the first prompt of any drawing command to indicate the most recent coordinate specified.
Notice that using relative coordinates, both Cartesian and polar, is much more realistic than using absolute coordinates. However, typing in all those coordinates is still awkward. Typing in coordinates is often the only way to get exactly what you want. Nevertheless, several other techniques for specifying coordinates are easier in many circumstances.