The following answer assumes that the object(s) to be displayed are at the center of the scene (that is, X = Y = Z = 0.), and make certain that the 3D cursor is positioned at the same place. To achieve the same point of view as if the camera were in a similar position for a scene, make certain the 3D viewport is in object mode, that the camera is the active object, and that the pivot point is defined to be the 3D cursor. Then open the tool shelf (N key). In the X, Y, and Z co-ordinates of the selected camera, and in the boxes for the rotation of the object, enter the values shown in the red box in the image below:
If the camera needs to be moved to a different location, in the X, Y, and Z boxes for the camera, multiply the values in each box by the same scalar number, so that, for example, if you needed the camera to be 4.3 times further away in order to see the whole object, you would multiply the values for X, Y, and Z each by 4.3. The boxes take numerical expressions, so you can do this by selecting each box in turn, selecting the value, and adding the string * 4 . 3 Enter. To keep the view the same, all three values will need to be multiplied by the same scalar value
If only part of the object is not visible, because some of it is cut off, change the value in the box next to the "end" button in the green box in the illustration. [NOTE: for purposes of economy, I have reordered the panels in the Properties shelf panel.] This will increase the depth of the field of view.