Sentence examples for circumscribed about from inspiring English sources
In [30] the following isoperimetric inequality for a convex -gon in a Minkowski plane with unit disc and isoperimetrix is obtained: if is the -gon whose sides are parallel to those of and which is circumscribed about, then, with equality if and only if is circumscribed about an anticircle of radius, where stands for the Minkowskian perimeter and for area.
Abstract: In the early 19th century, Poncelet asked a simple question: given two ellipses in the plane, one inside the other, does there exist a polygon inscribed in the outer one and circumscribed about the inner?
For example, he showed that the perimeters of regular polygons circumscribed about the circle eventually become less than 31/7 the diameter as the number of their sides increases (Archimedes established the result for 96-sided polygons); similarly, the perimeters of the inscribed polygons eventually become greater than 310/71.
So, as Steiner showed, does Pascal's theorem that the three points of intersection of the opposite sides of a hexagon inscribed in a conic lie on a line; thus, the lines joining the opposite vertices of a hexagon circumscribed about a conic meet in a point.
In order to find the localization result of sensor S, i.e., the global minimum of the optimization problem (20), we search in fine grids within the square circumscribed about the unit circle.
Instead the point was to document and analyze how kinship was understood within a particular culture, including culturally circumscribed notions about procreation.
The effect is not only a tightly circumscribed discussion about what might remedy Europe's crisis, said Mr. Callanan and like-minded critics, but also a rising disenchantment with "the European project," the six-decade-long push for economic and political integration.
With his long-breathed croon floating over unassuming low-fi production, he sang about circumscribed but smartphone-connected lives, misfiring romances and looming life choices.
These academics complain that Hillel's Standards of Partnership "narrowly circumscribe discourse about Israel-Palestine".
It's not about following some artificially circumscribed path.
You may not lie, of course, but there is nothing ignominious about a circumscribed response.
