<div class="description">
<dl><dd>Cover title</dd>
<dd>"NPS-55-88-008."</dd>
<dd>"August 1988."</dd>
<dd>AD A200 939</dd>
<dd>Includes bibliographical references (p. 15-16)</dd>
<dd>The Blaschke-Lebesgue theorem states that of all plane sets of given constant width the Reuleaux triangle has least area. The area to be minimized is a functional involving the support function and the radius of curvature of the set. The support function satisfies a second order ordinary differential equation where the radius of curvature is the control parameter. The radius of curvature of a plane set of constant width is non-negative and bounded above. Thus we can formulate and analyze the Blaschke-Lebesgue theorem as an optimal control problem. Keywords: Calculus of variation and optimal control. (KR) Limitation Statement:</dd>
<dd>aq/aq cc:9116 07/18/97</dd></dl><br>Subjects: THEOREMS.; PLANE GEOMETRY.</div>
<div class="fn value">
Ghandehari, Mostafa.</div>
Internet Archive identifier