-
circles are the
intersections of the
sphere with planes, and the
great circles are
intersections with
planes p****ing
through the
center of the
sphere...
-
inversive geometry is the
study of inversion,
a transformation of the
Euclidean plane that maps
circles or
lines to
other circles or
lines and that preserves...
- (ignoring elevation) at
a given latitude coordinate line.
Circles of latitude are
often called parallels because they are
parallel to each other; that is...
-
Great circles through the
poles are
called lines of longitude or meridians.
Small circles on the
sphere that are
parallel to the
equator are
circles of latitude...
- mathematics, an n-
sphere or
hypersphere is an n {\displaystyle n} -dimensional
generalization of the 1 {\displaystyle 1} -dimensional
circle and 2 {\displaystyle...
-
called a vertex) or does not
exist (if the
lines are
parallel).
Other types of geometric intersection include: Line–plane
intersection Line–
sphere intersection...
-
longest chord of the
circle. Both
definitions are also
valid for the
diameter of a sphere. In more
modern usage, the
length d {\displaystyle d}
of a diameter...
-
referred to as
a flat pencil. Any
geometric object can be used in
a pencil. The
common ones are lines, planes,
circles, conics,
spheres, and
general curves...
-
great circles.
Great circles divide the
sphere in two
equal hemispheres and all
great circles intersect each other. Thus,
there are no
parallel geodesics...
-
circle itself, that is, the
locus corresponding to the edge
of a disk. The cir****ference
of a sphere is the cir****ference, or length,
of any one
of its...