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Ohio County is a county located in the Northern Panhandle of the U.S. state of West Virginia, and forms part of the Wheeling metropolitan area. As of the 2020 census , the population was 42,425. [ 1 ]
Sizes of circular features are indicated using either diametral or radial dimensions. Radial dimensions use an "R" followed by the value for the radius; Diametral dimensions use a circle with forward-leaning diagonal line through it, called the diameter symbol, followed by the value for the diameter.
The county seat of Ohio County, it lies along the Ohio River in the foothills of the Appalachian Mountains within the state's Northern Panhandle. [5] As of the 2020 census, the city had a population of 27,062, making it the fifth-most populous city in West Virginia and the most populous in the Northern Panhandle.
Using the equations for lines and circles, one can show that the points at which they intersect lie in a quadratic extension of the smallest field F containing two points on the line, the center of the circle, and the radius of the circle. That is, they are of the form + =, where x, y, and k are in F.
In the United States, the eastern boundary of the state of California was defined as following the 120th meridian west south from the 42nd parallel north to its intersection with the 39th parallel north, beyond which it follows a diagonal line to where the Colorado River crosses the 35th parallel north. [2]
A straight line through a circle's center is orthogonal to it, and if straight lines are also considered as a kind of generalized circles, for instance in inversive geometry, then an orthogonal pair of lines or line and circle are orthogonal generalized circles.
Conversely, the polar line (or polar) of a point Q in a circle C is the line L such that its closest point P to the center of the circle is the inversion of Q in C. If a point A lies on the polar line q of another point Q, then Q lies on the polar line a of A. More generally, the polars of all the points on the line q must pass through its pole Q.
The National Road (U.S. Route 40) parallels Little Wheeling Creek through eastern Ohio County, and follows Wheeling Creek for part of its route through the city of Wheeling; [7] the creek is also paralleled for five miles (8.0 km) in Wheeling by a rail trail as part of the Wheeling Heritage Trail network. [14]