- In mathematics, a
homothety (or homothecy, or
homogeneous dilation) is a
transformation of an
affine space determined by a
point S
called its
center and...
- homothetic or
homothety in Wiktionary, the free dictionary.
Homothetic may
refer to:
Homothetic transformation, also
known as
homothety, homothecy, or...
-
notions of
affine geometry,
notably homotheties.
Whether or not D, E, F are collinear,
there are
three homotheties with
centers D, E, F that respectively...
- a
rotation and a
homothety.
Similarity and
rotation have the same
angle of +135
degrees modulo 360 degrees.
Similarity and
homothety have the same ratio...
-
combined with a
homothety and a translation,
shear mapping combined with a
homothety and a translation, or
squeeze mapping combined with a
homothety and a translation...
-
reflection is
equivalent to a
special case of
homothetic transformation:
homothety with
homothetic center coinciding with P, and
scale factor −1. (This is...
-
segments on each line are equal, then
those 2
lines must be parallel. An
homothety of
positive ratio k with
center O maps a
point A to the
point B located...
- for all s, Schur's
lemma implies that A ( u ) {\displaystyle A(u)} is a
homothety λ I n {\displaystyle \lambda I_{n}} . Its
trace nλ is
equal to ∑ s ∈ G...
-
point A
where A is the
center of the
homothety, and a
number k that
represents the
ratio of the
homothety, a
homothety is a
transformation that will move...
- transformations: a
homothety, an isometry, and a
special conformal transformation. For
linear transformations, a
conformal map may only be
composed of
homothety and...
