in geometry how is a circle different from an oval?
In spherical geometry we look at the globe as the sphere S^2. Any plane intersecting the sphere will create a great circle. Now if you take any point on the globe and reflect it across that plane, you have another point that is equidistant from the plane. The sets of all these points will be equidistant from the great circle.
We call it a circle.
A sphere is a three dimentional shape, a circle is a two dimentional shape. You can't pick up a circle, it can only be drawn. In differential geometry, a one dimensional sphere is a point, a two dimensional sphere is a circle and a three dimensional sphere is what we call a "sphere", there is no limit to the number of dimensions a sphere can have.
http://library.thinkquest.org/C0110248/geometry/menpartcircle.htm
an O another name for a circle is an O and a spherical
A line in Riemann's spherical geometry is called a great circle, which is the intersection of a sphere with a plane passing through its center. Great circles are the equivalent of straight lines in this non-Euclidean geometry.
In plane geometry, the shortest distance between two points is a line. In spherical geometry, the shortest distance between two points is a segment of a great circle. The distance between one point and another is known as the displacement.
In plane geometry, the shortest distance between two points is a line. In spherical geometry, the shortest distance between two points is a segment of a great circle. The distance between one point and another is known as the displacement.
in geometry how is a circle different from an oval?
Half a circle is called a "semicircle" in geometry.
Euclid discovered the circle and he named his geometry "Euclidean geometry "
In spherical geometry we look at the globe as the sphere S^2. Any plane intersecting the sphere will create a great circle. Now if you take any point on the globe and reflect it across that plane, you have another point that is equidistant from the plane. The sets of all these points will be equidistant from the great circle.
The answer lies in Non-Euclidean geometry (spherical geometry). Florida, the Philippines, and Alaska are three collinear points on a great circle, a great circle is the equivalent to a line in Euclidean(2-D) geometry. A great circle is also classified as the shortest distance from one point to another around a circle. Because the earth is round, the distance seen on a flat map is a lot further than the distance on a globe, due to distortion. Therefore, following the great circle that goes through the three collinear points of Florida, the Philippines, and Alaska, it is a shorter distance to fly over Alaska
We call it a circle.
All right angles are still equalOnly one straight line can be drawn between any two nonpolar pointsA circle can be drawn with any point at its centerApex - TF
A sphere is a three dimentional shape, a circle is a two dimentional shape. You can't pick up a circle, it can only be drawn. In differential geometry, a one dimensional sphere is a point, a two dimensional sphere is a circle and a three dimensional sphere is what we call a "sphere", there is no limit to the number of dimensions a sphere can have.