volume 5, issue 4, P345-354 1989
DOI: 10.1007/bf02107712
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Abstract: For a pair of points in a smooth locally convex surface in 3-space, its mid-plane is the plane containing its mid-point and the intersection line of the corresponding pair of tangent planes. In this paper we show that the limit of mid-planes when one point tends to the other along a direction is the Transon plane of the direction. Moreover, the limit of the envelope of mid-planes is non-empty for at most six directions , and, in this case, it coincides with the center of the Moutard's quadric. These results e…

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