-
Geocentric latitude Parametric (or reduced)
latitude Rectifying latitude Authalic latitude Conformal latitude Isometric latitude The
definitions given in...
-
radius (R1) of
three radii measured at two
equator points and a pole; the
authalic radius,
which is the
radius of a
sphere with the same
surface area (R2);...
- In cartography, an equivalent,
authalic, or equal-area
projection is a map
projection that
preserves relative area
measure between any and all map regions...
- In cartography, the
quartic authalic projection is an equal-area
projection developed by Karl
Siemon in 1937 and
independently by
Oscar S.
Adams in 1944...
- maps are also
possible using the same method. The name is
derived from "
authalic" and "graph". The
method used to
construct the
projection ensures that...
-
sphere having the same
surface area as the
Clarke 1866 ellipsoid. The
authalic (equal area)
radius of the
Clarke 1866
ellipsoid is 6,370,997.2 metres...
- 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 figures...
- orthomorphic)
Preserving area (equal-area or
equiareal or
equivalent or
authalic)
Preserving distance (equidistant), a
trait possible only
between one or...
-
angle at
vertex j.
Multiplying the
equation for Γ by R22,
where R2 is the
authalic radius, and
subtracting this from the
equation for T
gives T = R 2 2 Γ...
- 1 = ( 2 a + b ) / 3 {\displaystyle R_{1}=(2a+b)/3} = 6 371 008.7714 m;
Authalic mean
radius = R 2 {\displaystyle R_{2}} = 6 371 007.1809 m;
Radius of a...
