This is as well advocated in the taxonomy of quadrilaterals. This article uses the inclusive definition and considers parallelograms equally special cases of a trapezoid. The latter definition is consequent with its uses in college mathematics such as calculus. Others ascertain a trapezoid equally a quadrilateral with at to the lowest degree one pair of parallel sides (the inclusive definition ), making the parallelogram a special type of trapezoid. Some define a trapezoid as a quadrilateral having just one pair of parallel sides (the sectional definition), thereby excluding parallelograms. There is some disagreement whether parallelograms, which have two pairs of parallel sides, should be regarded as trapezoids.
The shape is oftentimes chosen an irregular quadrilateral. This article uses the term trapezoid in the sense that is electric current in the United States and Canada. Τραπέζιον σκαληνὸν ( trapez ion skalinón)Ģ parallel sides, and no line of symmetry Two parallel sides, and a line of symmetry Opposite sides and angles equal to i another but not equilateral nor right-angled Proclus (Definitions 30-34, quoting Posidonius) This mistake was corrected in British English in about 1875, simply was retained in American English into the modern day.
Ancient Greek mathematician Euclid defined 5 types of quadrilateral, of which four had two sets of parallel sides (known in English every bit square, rectangle, rhomb and rhomboid) and the last did not have two sets of parallel sides – a τραπέζια ( trapezia literally "a table", itself from τετράς ( tetrás), "four" + πέζα ( péza), "a foot end, edge, edge").
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