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A great circle is another name for a in Riemann's spherical geometry?
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∙ 13y ago
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∙ 13y ago
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In geometry how is a circle different from an oval?
in geometry how is a circle different from an oval?
What is a monogon?
A monogon (more commonly called the Henagon) is a one-sided polygon. In Euclidean Geometry, (on a flat plane) it is considered a impossible because lines continue on forever. In Spherical Geometry, [on a spherical (circular) plane] a finite monogon can be drawn by placing a placing a single vertex on a circle because circles are basically a polygon with infinite sides.
How do you find equidistant points on a globe?
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.
In geometry What is the name of the circle?
We call it a circle.
What is the difference between spherical and 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.
What is another name for a circle?
an O another name for a circle is an O and a spherical
What is the distance between two points?
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.
What is distance distance between two points?
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?
in geometry how is a circle different from an oval?
What is a half of a circle called in geometry?
Half a circle is called a "semicircle" in geometry.
Who discovered the circle?
Euclid discovered the circle and he named his geometry "Euclidean geometry "
What is a monogon?
A monogon (more commonly called the Henagon) is a one-sided polygon. In Euclidean Geometry, (on a flat plane) it is considered a impossible because lines continue on forever. In Spherical Geometry, [on a spherical (circular) plane] a finite monogon can be drawn by placing a placing a single vertex on a circle because circles are basically a polygon with infinite sides.
How do you find equidistant points on a globe?
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.
When flyin from Florida to Philippine why does the shortest route pass through Alaska?
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
In geometry What is the name of the circle?
We call it a circle.
What is true in spherical geometry?
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
What is the difference between spherical and 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.
