| dc.contributor | Universidade Estadual Paulista (UNESP) | |
| dc.creator | Rangel-Mondragon, Jaime | |
| dc.date | 2013-09-25T18:12:13Z | |
| dc.date | 2013-09-25T18:12:13Z | |
| dc.date | 2013-09-25 | |
| dc.date.accessioned | 2017-04-05T18:57:42Z | |
| dc.date.available | 2017-04-05T18:57:42Z | |
| dc.identifier | http://acervodigital.unesp.br/handle/unesp/70322 | |
| dc.identifier | http://objetoseducacionais2.mec.gov.br/handle/mec/22912 | |
| dc.identifier.uri | http://repositorioslatinoamericanos.uchile.cl/handle/2250/847869 | |
| dc.description | Ensino Médio::Matemática | |
| dc.description | There is a one-to-one correspondence between positive rational numbers q less than 1 and points with positive rational coordinates (x,y) on the unit circle. This correspondence is achieved by joining the point (-1,0) with (0,q) and extending the line to intersect the unit circle at (x,y) as shown in this Demonstration. As any integral solution of the equation a²+b²=c² corresponding to a Pythagorean triangle can be put in the form (a/c)²+(b/c)²=1, we can associate Pythagorean triangles with points with positive rational coordinates on the unit circle. This Demonstration shows the n^(th) rational number and its associated n^(th) Pythagorean triangle. By varying n, can you find the only Pythagorean triangle with a side equal to 2009 that exists in the given range? Alas, the first rational with a part equal to 2009 is 30/2009 and it occurs at n=154876, too far out of our range n<1000 | |
| dc.publisher | Wolfram demonstrations project | |
| dc.relation | EnumeratingPythagoreanTriangles.nbp | |
| dc.rights | Demonstration freeware using MathematicaPlayer | |
| dc.subject | Educação Básica::Ensino Médio::Matemática::Geometria | |
| dc.subject | Geometria | |
| dc.title | Enumerating pythagorean triangles | |
| dc.type | Software | |
