- 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...
- 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...
- homothetic or
homothety in Wiktionary, the free dictionary.
Homothetic may
refer to:
Homothetic transformation, also
known as
homothety, homothecy, or...
-
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...
- 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...
-
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...
- that a
homothetic copy R of r is cir****scribed
about C and the
positive homothety ratio is at most 2 and 0.5 × Area ( R ) ≤ Area ( C ) ≤ 2 × Area ( r...
-
reflection is
equivalent to a
special case of
homothetic transformation:
homothety with
homothetic center coinciding with P, and
scale factor −1. (This is...
- of
which the
graph is a line
through the origin. More generally, any
homothety v ↦ c v {\textstyle \mathbf {v} \mapsto c\mathbf {v} }
centered in the...
- transformations: a
homothety, an isometry, and a
special conformal transformation. For
linear transformations, a
conformal map may only be
composed of
homothety and...
