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Ann.<\/jats:italic><jats:bold>39<\/jats:bold>, 441\u2013565 (1891)), resultant method, and the Gr\u00f6bner basis in seven-dimensional kinematic space. The obtained solution in seven-dimensional kinematic space of the forward kinematic problem is mapped into three-dimensional Euclidean space. An alternative solution of the forward kinematic problem is obtained using resultant method in three-dimensional Euclidean space, and the result is compared with the obtained mapping result from seven-dimensional kinematic space. Both approaches lead to the same maximum number of solutions: 2, 6, 6, 6, 2, 2, 2, 6, 2, and 2 for the forward kinematic problem of planar parallel robots; 3-<jats:underline>R<\/jats:underline>PR, 3-R<jats:underline>P<\/jats:underline>R, 3-<jats:underline>R<\/jats:underline>RR, 3-R<jats:underline>R<\/jats:underline>R, 3-<jats:underline>R<\/jats:underline>RP, 3-R<jats:underline>P<\/jats:underline>P, 3-RP<jats:underline>P<\/jats:underline>, 3-<jats:underline>P<\/jats:underline>RR, 3-P<jats:underline>R<\/jats:underline>R, and 3-<jats:underline>P<\/jats:underline>RP, respectively.<\/jats:p>","DOI":"10.1017\/s0263574715000259","type":"journal-article","created":{"date-parts":[[2015,7,16]],"date-time":"2015-07-16T06:01:18Z","timestamp":1437026478000},"page":"2610-2628","source":"Crossref","is-referenced-by-count":8,"title":["Gr\u00f6bner basis and resultant method for the forward displacement of 3-DoF planar parallel manipulators in seven-dimensional kinematic space"],"prefix":"10.1017","volume":"34","author":[{"given":"Davood","family":"Naderi","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Mehdi","family":"Tale-Masouleh","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Payam","family":"Varshovi-Jaghargh","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"56","published-online":{"date-parts":[[2015,4,28]]},"reference":[{"key":"S0263574715000259_ref20","doi-asserted-by":"publisher","DOI":"10.1016\/0094-114X(95)00091-C"},{"key":"S0263574715000259_ref16","doi-asserted-by":"publisher","DOI":"10.1007\/978-0-387-34580-2"},{"key":"S0263574715000259_ref27","doi-asserted-by":"publisher","DOI":"10.1016\/j.mechmachtheory.2011.02.005"},{"key":"S0263574715000259_ref18","doi-asserted-by":"publisher","DOI":"10.1007\/BF01199824"},{"key":"S0263574715000259_ref11","unstructured":"Y.-M. 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