Oval


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Oval

the. a cricket ground in south London, in the borough of Lambeth

Oval

Resembling an egg in shape, ellipsoidal or elliptical; it is duocentric with a long and short axis.

Oval

 

a closed convex plane curve. A convex curve is a curve that has no more than two real points in common with any line. The ellipse and the circle are examples of ovals. If an oval has a tangent at every point, then to any direction in the plane there correspond just two tangents parallel to that direction.

Many theorems deal with properties of ovals. We mention two such theorems. (1) On every oval there are at least four points at which the curvature reaches a maximum or minimum. This is the so-called four-vertex theorem. The ellipse has precisely four such points—the ends of the major and minor axes. (2) If we have an oval of constant width, that is, if the distance d between any two parallel tangents to the oval is the same for all directions, then the length of the oval is equal to π d. The circle is the simplest oval of constant width. Another example is the figure obtained (Figure 1) by drawing six arcs of circles with centers at the vertices of an equilateral triangle with side a, where three of the circles have radii c, c arbitrary, and three have radii a + c.

Figure 1

In algebraic geometry the term “oval” is also applied to closed connected components of plane algebraic curves. There, however, the component is not necessarily convex.

oval

[′ō·vəl]
(mathematics)
A curve shaped like a section of an egg.

oval

A marble chip which has been tumbled until a smooth oval shape has resulted; used for terrazzo concrete.
References in classic literature ?
She turned the small oval plate over in her lap, with its face down, and I thought I saw her catch her breath a little, as if she had had a strain or an escape.
The silk was doubled, at the upper extremity of the oval, where most of the strain would come.
On their backs were oval shields, in their noses huge rings, while from the kinky wool of their heads protruded tufts of gay feathers.
He was an elderly man, with a pair of oval, hazel eyes which were rather bright for his time of life, and relieved the heaviness of his face.
Its two huge eyes extend in two vast oval patches from the centre of the top of the cranium down either side of the head to below the roots of the horns, so that these weapons really grow out from the lower part of the eyes, which are composed of several thousand ocelli each.
Can any one who has rejoiced in woman's tenderness think it a reproach to her that she took the little oval picture in her palm and made a bed for it there, and leaned her cheek upon it, as if that would soothe the creatures who had suffered unjust condemnation?
Behind them, streaming through the pass which leads into the valley, came a swarm of hairy men--gorilla-like creatures armed with spears and hatchets, and bearing long, oval shields.
Past the veranda they raced, pouring a deadly fire into the kneeling Waziri who discharged their volley of arrows from behind their long, oval shields--shields well adapted, perhaps, to stop a hostile arrow, or deflect a spear; but futile, quite, before the leaden missiles of the riflemen.
At one end of the oval space which the warriors left down the center of the room stood Al-tan and another warrior whom I immediately recognized as a Galu, and then I saw that there were many Galus present.
They wore, like the men, only skins of wild animals caught about their waists with rawhide belts or chains of gold; but the black masses of their hair were incrusted with golden headgear composed of many circular and oval pieces of gold ingeniously held together to form a metal cap from which depended at each side of the head, long strings of oval pieces falling to the waist.
Amid Anne's peal of laughter Phil came downstairs, trailing clouds of glory, and surveyed herself in the long oval mirror on the wall.
The oval is almost one inch long, and tapers like a needle, the cylinder swells at the sides, and the points are ready to open.