Definition:Quadrilateral/Rhomboid
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Definition
A rhomboid is a parallelogram whose sides are not all the same length.
Its angles may or may not all be equal.
Also see
- Oblong: a rhomboid all of whose angles are equal to a right angle.
Euclid's Definitions
In the words of Euclid:
- Of quadrilateral figures, a square is that which is both equilateral and right-angled; an oblong that which is right-angled but not equilateral; a rhombus that which is equilateral but not right-angled; and a rhomboid that which has its opposite sides equal to one another but is neither equilateral nor right-angled. And let quadrilaterals other than these be called trapezia.
(The Elements: Book $\text{I}$: Definition $22$)
Sources
- 1989: Ephraim J. Borowski and Jonathan M. Borwein: Dictionary of Mathematics ... (previous) ... (next): rhomboid
- 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): rhomboid
- 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): rhomboid