Directly similar figures have equal corresponding angles described in the same rotational sense, and all corresponding distances
are in the same positive ratio .
Any two directly similar figures are related either by a translation or by a spiral similarity (Coxeter and Greitzer
1967, p. 97).
See also Douglas-Neumann Theorem ,
Fundamental Theorem of
Directly Similar Figures ,
Homothetic ,
Inversely
Similar ,
Similar ,
Spiral
Similarity
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References Casey, J. "Two Figures Directly Similar." Supp. Ch. §2 in A
Sequel to the First Six Books of the Elements of Euclid, Containing an Easy Introduction
to Modern Geometry with Numerous Examples, 5th ed., rev. enl. Coxeter, H. S. M.
and Greitzer, S. L. Geometry
Revisited. Lachlan,
R. "Properties of Two Figures Directly Similar" and "Properties of
Three Figures Directly Similar." §213-219 and 223-143 in An
Elementary Treatise on Modern Pure Geometry. Wells, D. The
Penguin Dictionary of Curious and Interesting Geometry. Referenced on Wolfram|Alpha Directly Similar
Cite this as:
Weisstein, Eric W. "Directly Similar."
From MathWorld https://mathworld.wolfram.com/DirectlySimilar.html
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