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Lesson 8
Center of a House II
In more complicated cases we try to find the center of gravity of the plane figure that represents the floor plan. The diagrams are self explanatory.
The center of the house must lie on both AB and CD. Draw the two dissections on the same diagram. The intersection of AB and CD gives the center of the house.
In this case the center lies on the line AB but it is difficult to locate it. If the two rectangles are of the same area then the center is the midpoint of AB. If one is larger than the other then the center lies closer to that of the larger rectangle. A good estimate can be made. In the above diagram it will be closer to A than to B.
We cannot use the method of completing the rectangle because the missing parts are not balanced.
This diagram, however, gives you some idea how much closer the center is to A than to B.
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