<?xml version="1.0" encoding="UTF-8"?>

<record version="6" id="9532">
 <title>rhomboid</title>
 <name>Rhomboid</name>
 <created>2007-06-05 12:52:34</created>
 <modified>2007-06-06 14:40:47</modified>
 <type>Definition</type>
 <creator id="1863" name="Wkbj79"/>
 <author id="1863" name="Wkbj79"/>
 <author id="6075" name="rspuzio"/>
 <classification>
	<category scheme="msc" code="51-00"/>
 </classification>
 <related>
	<object name="Parallelogram"/>
 </related>
 <preamble>\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{amsfonts}
\usepackage{pstricks}
\usepackage{psfrag}
\usepackage{graphicx}
\usepackage{amsthm}
\usepackage{xypic}
</preamble>
 <content>\PMlinkescapeword{word}

A \emph{rhomboid} is a parallelogram that is neither a rhombus nor a rectangle.  The word rhomboid comes from the Greek word $\rho o \mu \beta o \varepsilon \iota \delta \acute\eta \varsigma$, which is transliterated as `rhomboeidis'.  In \emph{The Elements}, Euclid has this definition:

\begin{quote}
``Of quadrilateral figures....a rhomboid (is) that which has its opposite sides and angles equal to each other but is neither \PMlinkname{equilateral}{Equilateral} nor \PMlinkname{right-angled}{RightAngle}.''
\end{quote}

Below is a picture of a rhomboid.

\begin{center}
\begin{pspicture}(0,0)(5,2)
\pspolygon(0,0)(1,2)(5,2)(4,0)
\end{pspicture}
\end{center}

The \PMlinkescapetext{formula} for the area of a rhomboid is the same as that for all parallelograms:  If $b$ is the length of its \PMlinkescapetext{base} and $h$ is the length of its \PMlinkescapetext{height}, then $A=bh$.</content>
</record>
