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It is the geometry of a sphere as well as of shapes on the surface of the sphere.
Yes, although a triangle (in normal geometry) can only have one right angle, no more. It is possible for a triangle to have all three right angles in spherical geometry (if you were to draw the triangle on a sphere).
Sphere is the term used in geometry.
yes, the ball is a sphere with a diameter and a radius-which is geometry
sphere