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great circles
Wyatt Olson
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In spherical geometry lines are?
great
In spherical geometry what do they call lines?
Arcs or curves.
Are the rules of parallel and perpendicular lines different in spherical geometry than in Euclidean geometry?
yes
What are applications of spherical geometry?
Pilots and captains of ship use spherical geometry to navigate their working wheel to move it. They can measure their pathway and destiny by using Spherical Geometry.
What are the different lines in geometry called?
segments, lines, and rays.
What are lines called in spherical geometry?
great circles
What are lines called in Riemann's spherical geometry?
great circles
What are lunes in spherical geometry?
Lines in spherical geometry are very easy to understand. Lines in spherical geometry are straight looking items that can be found by graphing points in a certain pattern.
In spherical geometry lines are?
great
Can a line segment be extended indefinitely in spherical geometry?
that would be a line and lines do not exist in spherical geometry
In spherical geometry what do they call lines?
Arcs or curves.
Are the rules of parallel and perpendicular lines different in spherical geometry than in Euclidean geometry?
yes
How many right angles are formed by perpendicular lines in spherical geometry?
8
How many times can two great lines intersect is spherical geometry?
Two.
A line in riemann's sperical geometry is called a?
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.
Do parallel lines run from the north to south pole?
In plane geometry, the geometry of a flat surface, parallel lines by definition never meet. However in spherical geometry, the geometry of the surface of a sphere (such as the planet Earth) parallel lines meet at the poles.
What are applications of spherical geometry?
Pilots and captains of ship use spherical geometry to navigate their working wheel to move it. They can measure their pathway and destiny by using Spherical Geometry.
