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Vx and vertically by d. Vy to get line Q. 5. Draw circle C I centered at E with radius d. 6. Trim C I to get an arc between Q and the extension of I. 7. Draw circle C 2 centered at Fwith radius d. 8. Trim C 2 to get an arc between Q and the extension of I. Invoke Min with L, d mm , and the default direction. Name the resulting object dome. 33 System: As the result of invoking Min, the dome in Fig. b is displayed. Designer: Goal: Define a procedure to show the locus of points P closer than a given distance to all points on a line segment.

Adjust the display window, if necessary, so that the "above" side of L appears above L on the screen. • Choose an arbitrary position for P in the identified region (Fig. b). Designer: The distance from P to L is greater than d min • System: Inferences: • P is outside the oval shape shown in Fig. a. • P is above the dome, as in Fig. b. Actions: • Display the oval shape induced by the minimum distance constraint. • Trim the colored region on the screen to the border of the oval shape. • Adjust the position of P, if necessary, to keep it in the colored region (Fig.

Until more is learned about how functionality affects geometry in general, the interplay of functionality (and aesthetics) with geometry will continue to be an activity internal to designers. This implies that exchanging explicit geometric information must continue to be an integral part of the interaction between designers and intelligent CAD systems of the future. The intellectual level of (geometric) communication between a contemporary CAD system and its users is very low: they are primarily passive repositories of geometric information that keep track of the information supplied by a user and perform very specific, well-defined tasks on demand.