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Trapezoids (Spektor vs. Nu Science)


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Puttaswamy, Mathematical achievements of pre-modern Indian mathematicians , Elsevier, , p. Apostol and Mamikon A. Mnatsakanian December American Mathematical Monthly.

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Views Read Edit View history. Help Learn to edit Community portal Recent changes Upload file. Download as PDF Printable version. Wikimedia Commons Wikibooks. Trapezoid or trapezium. A trapezoid is an interesting four-sided geometric figure. It has two parallel sides and the remaining two sides can be of any length, at any angle. Some possible trapezoid shapes are shown below to clarify the concept. Notice that the parallel lines are marked with arrows. In real life there are a lot of objects with trapezoid shapes that you may or may not have noticed.

See some examples below. Vocational Training. Standardized Tests. Online Learning. Social Sciences. Legal Studies. Political Science. Thus, represents 60 plus 23, or However, the number 60 was represented by the same symbol as the number 1 and, because they lacked an equivalent of the decimal point, the actual place value of a symbol often had to be inferred from the context.

It has been conjectured that Babylonian advances in mathematics were probably facilitated by the fact that 60 has many divisors 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30 and 60 — in fact, 60 is the smallest integer divisible by all integers from 1 to 6 , and the continued modern-day usage of of 60 seconds in a minute, 60 minutes in an hour, and 60 x 6 degrees in a circle, are all testaments to the ancient Babylonian system.

It is for similar reasons that 12 which has factors of 1, 2, 3, 4 and 6 has been such a popular multiple historically e. The Babylonians also developed another revolutionary mathematical concept , something else that the Egyptians , Greeks and Romans did not have, a circle character for zero, although its symbol was really still more of a placeholder than a number in its own right. We have evidence of the development of a complex system of metrology in Sumer from about BCE , and multiplication and reciprocal division tables, tables of squares, square roots and cube roots, geometrical exercises and division problems from around BCE onwards.

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9 Comments

  1. Akijin Permalink
    Spektor Trapezoids UD April Trapezoids Pulsar Mr. Synthesizer Trapezoids (Spektor Vs. Nu Science) Player 1: Commodore C 64, Player 2: Henri Tani All tracks composed and programmed by Henri Tani. Track Remixed by Nu Science Software: Commodore C 64 BASIC language. Cover design: H. Tani. Recorded in Nu Science Lab.
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  2. Yozshulabar Permalink
    Trapezoids. Definition of Trapezoid Believe it or not, there is no general agreement on the definition of a trapezoid. In B&B and the handout from Jacobs you got the Exclusive Definition. Exclusive Definition of Trapezoid. A quadrilateral having two and only two sides parallel is called a trapezoid.
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  3. Kigagore Permalink
    Walk through an example using the trapezoid rule, then try a couple of practice problems on your own. If you're seeing this message, it means we're having trouble loading external resources on .
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  4. Fegrel Permalink
    Sep 07,  · The perimeter of a trapezoid is the sum of all its sides. Therefore, for a trapezoid with sides a, b, c and d, the formula of the perimeter can be written as-Perimeter= a+b+c+d. Trapezoid Properties. There are certain properties of trapezoids that identify them as trapezoids-The base angles and the diagonals of an isosceles trapezoid are equal.
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  5. Dodal Permalink
    So right here, we have a four-sided figure, or a quadrilateral, where two of the sides are parallel to each other. And so this, by definition, is a trapezoid. And what we want to do is, given the dimensions that they've given us, what is the area of this trapezoid. So let's just think through it.
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  6. Minris Permalink
    Nov 22,  · We distinguish between trapezoids by crest factor or edge rate. Any signal with a rise/fall time faster than an arbitrary limit would be considered square. The following figure shows how a trapezoid is specified in Si SLIC specification. There are codified standards (e.g. TR) that call out trapezoids as acceptable ring wave shapes and.
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  7. Vudogore Permalink
    A trapezoid is a quadrilateral. A trapezoid has two parallel sides, and two non-parallel sides. The interior angles of a trapezoid add to degrees, and the angles on each side are supplementary. Area formula of a trapezoid equals Area = 1/2 (b1+b2) h h = height. b = base.
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  8. Mezigore Permalink
    The area under a curve is commonly approximated using rectangles (e.g. left, right, and midpoint Riemann sums), but it can also be approximated by trapezoids. Trapezoidal sums actually give a better approximation, in general, than rectangular sums that .
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  9. Gumuro Permalink
    Jan 02,  · The main property of a trapezium (as known in Great Britain) or trapezoid (as known in the United States) is that it is a 4 side shape with exactly one pair of parallel sides. Depending on how the trapezium is drawn determines how many lines of.
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