Oval

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An oval (from Latin ovum , "egg") is a closed curve in a "loose" field resembling an egg line. The term is not particularly specific, but in some areas (projective geometry, engineering drawing, etc.) is given a more precise definition, which may include one or two symmetry axes. In common English, the term is used in a broader sense: any form that reminds one of the eggs. The three-dimensional version of the oval is called ovaloid .

Video Oval

Oval dalam geometri

The term oval when used to describe curves in geometries is not well-defined except in the context of projective geometry. Many different curves are commonly called ovals or are said to have "oval shapes". Generally, to be called an oval, the curve of the field should be resembling the outline of the egg or ellipse. In particular, this is a common feature of ovals:

• they are differentiated (fine), simple (not intersecting), convex, closed, curve fields;
• the shape does not deviate much from the ellipse, and
• The oval usually has a symmetry axis, but this is not necessary.

Here's an example of an oval described elsewhere:

• Cassini oval
• part of some ellipsoid curve
• Egg Moss
• superellipse
• Cartesian oval

An ovoid is the 2-dimensional surface generated by rotating the oval curve of one of the axes of symmetry. The adjective ovoidal and ovate means having characteristics as an ovoid, and is often used as a synonym for "egg-shaped".

Maps Oval

Geometry projection

In projective field theory, an oval is a set of n 1 points in the projection field of the order n , without the same three lines (no three points the collinear).

A ovaloid in the limited objective geometry of PG (3, q) is a group of q ² 1 points so there are not three collinear points. At each point of the ovoid all the tangent lines to the ovoid are located on a single plane.

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Egg shape

The egg shape is estimated by the "long" beak of the spheroid prolate, joining into the "short" half of the rounded ellipsoid, or even the slightly prominent spheroid. It joins the equator and shares the major axis of rotational symmetry, as illustrated above. Although the term egg-shaped usually implies a lack of reflection symmetry in the equatorial plane, it could also refer to a true prolate elipsoid. It can also be used to describe a 2-dimensional figure which, if rotated around its main axis, produces a 3-dimensional surface.

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Technical image

In engineering drawings, a oval is a figure constructed from two pairs of arcs, with two different radius (see picture on the right). The arc joins at the point where tangential lines to the two arcs are located on the same line, thus making a fine connection. Each oval point belongs to a bow with constant fingers (shorter or longer), but in the ellipse, the fingers continue to change.

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In a public conversation

In common words, "oval" means a shape somewhat like an egg or ellipse, which may be two dimensional or three dimensional. It also often refers to a figure that resembles two semicircles connected to a rectangle, such as a cricket arena, a fast racing or athletic track. However, this is more accurately called a stadium or an ancient, an oval. Sometimes, he can even refer to any rectangle with rounded corners.

Its form lends its name to many famous places.

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See also

• Ellipse
• Stadium (geometry)
• Vesica piscis - oval spikes

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Note

Source of the article : Wikipedia