- In
differential geometry, an
equiareal map,
sometimes called an
authalic map, is a
smooth map from one
surface to
another that
preserves the
areas of...
-
transformations preserve angles, and are, in the
first order, similarities.
Equiareal transformations,
preserve areas in the
planar case or
volumes in the three...
- In geometry, an
equidissection is a
partition of a
polygon into
triangles of
equal area. The
study of
equidissections began in the late 1960s with Monsky's...
-
quadrilateral with
integer sides,
integer diagonals, and
integer area.
Equiareal map
Heronian triangle, a
triangle with
integer sides and
integer area...
- projection, used for
geodesic grids.
Authalic latitude Authalic radius Equiareal map (mathematics) Measure-preserving
dynamical system Geodesic polygon...
-
Euclidean area is
invariant under linear maps
which have
determinant ±1 (see
Equiareal map § Linear transformations). Some
invariants of
projective transformations...
-
determinant of A {\displaystyle A} is 1 or −1 then the
transformation is an
equiareal mapping. Such
transformations form a
subgroup called the equi-affine group...
- also
obtained results concerning isometric lines,
geodesic triangles,
equiareal mapping and the
stability of
floating bodies. Gauss–Codazzi equations...
-
shape locally (conformal or orthomorphic)
Preserving area (equal-area or
equiareal or
equivalent or authalic)
Preserving distance (equidistant), a trait...
-
approximately preserves shapes. It is
neither isometric (distance preserving) nor
equiareal (area preserving). The
stereographic projection gives a way to represent...
