A sphere is a geometrical object in three-dimensional space, the surface of a ball. Like a circle in a two-dimensional space, a sphere is defined mathematically as the set of points that are all at the same distance r from a given point, but in a three-dimensional space; this distance r is the radius of the ball, made up from all points with a distance less than r from the given point, the center of the mathematical ball. These are referred to as the radius and center of the sphere, respectively; the longest straight line segment through the ball, connecting two points of the sphere, passes through the center and its length is thus twice the radius. While outside mathematics the terms "sphere" and "ball" are sometimes used interchangeably, in mathematics the above distinction is made between a sphere, a two-dimensional closed surface embedded in a three-dimensional Euclidean space, a ball, a three-dimensional shape that includes the sphere and everything inside the sphere, or, more just the points inside, but not on the sphere.
The distinction between ball and sphere has not always been maintained and older mathematical references talk about a sphere as a solid. This is analogous to the situation in the plane, where the terms "circle" and "disk" can be confounded. In analytic geometry, a sphere with center and radius r is the locus of all points such that 2 + 2 + 2 = r 2. Let a, b, c, d, e be real numbers with a ≠ 0 and put x 0 = − b a, y 0 = − c a, z 0 = − d a, ρ = b 2 + c 2 + d 2 − a e a 2; the equation f = a + 2 + e = 0 has no real points as solutions if ρ < 0 and is called the equation of an imaginary sphere. If ρ = 0, the only solution of f = 0 is the point P 0 = and the equation is said to be the equation of a point sphere. In the case ρ > 0, f = 0 is an equation of a sphere whose center is P 0 and whose radius is ρ. If a in the above equation is zero f = 0 is the equation of a plane. Thus, a plane may be thought of as a sphere of infinite radius; the points on the sphere with radius r > 0 and center can be parameterized via x = x 0 + r sin θ cos φ y = y 0 + r sin θ sin φ z = z 0 + r cos θ The parameter θ can be as
Frank Mitchell Winters is a former American football center in the National Football League for the Cleveland Browns, New York Giants, Kansas City Chiefs, the Green Bay Packers. Frank Mitchell Winters was born in New Jersey, he lived in Union City, played football at Emerson High School. Winters played American football at Western Illinois University and was drafted in the tenth round of the 1987 NFL Draft. Winters was the Packers' starting center serving for eight straight seasons, he played in the Pro Bowl and earned USA Today All-Pro honors in 1999. His nickname was "Frankie Baggadonuts" or "Old Bag of Donuts". On July 18, 2008, Winters was inducted into the Green Bay Packers Hall of Fame, his ceremony was marked by heightened media interest because quarterback Brett Favre gave the induction speech amidst the developing saga regarding Favre's status with the Packers. On May 20, 2009, Winters got an internship with the Indianapolis Colts, he has part ownership in a popular Missouri bar and grill, Frankie & Johnny's
The 26th Annual GMA Dove Awards were held on April 27, 1995 to recognizing accomplishments of musicians for the year 1994. The show was held at the Grand Ole Opry House in Nashville and was hosted by Gary Chapman, Steven Curtis Chapman, Twila Paris and CeCe Winans. Artist of the Year dc Talk New Artist of the Year Jars of Clay Group of the Year Point of Grace Male Vocalist of the Year Gary Chapman Female Vocalist of the Year CeCe Winans Songwriter of the Year Michael W. Smith Producer of the Year Charlie Peacock Song of the Year “Jesus Freak”. I. O. T.". I. O. T.. Promise Band Children's Music Album of the Year School Days. Live. Archived from the original on 2012-06-05. Official winners list by year Dove Awards at MetroLyrics