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Notice that if you select Translate to the Picked Object from the Picking menu and rotate the picture, the rotation will occur around the picked object rather than the center of the image.
Visibility Tree
The visibility controls are used to control whether or not objects are shown in the display.
Make an object invisible by deselecting its (righthand) box in the Visibility Tree.
Other options for expansion of the tree and hiding all children of the current node are available by right-clicking on the object's entry in the Visibility Tree.