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    Some Properties of Mechanically-Traceable Algebraic Loci

    Source: Journal of Manufacturing Science and Engineering:;1975:;volume( 097 ):;issue: 003::page 807
    Author:
    E. F. Fichter
    ,
    K. H. Hunt
    DOI: 10.1115/1.3438686
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: A number of theorems interrelating certain properties of the algebraic loci traced by some mechanisms are presented. The properties discussed are the algebraic-geometric concepts of order, class, and rank, which are here shown to be related to one another by some new theorems based entirely on the kinematic geometry of the mechanisms. These theorems lead to a better understanding of the geometric relationships both within a mechanism and between different mechanisms. The theorems are also useful in some cases for determining these algebraic-geometric properties.
    keyword(s): Theorems (Mathematics) , Geometry AND Mechanisms ,
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      Some Properties of Mechanically-Traceable Algebraic Loci

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    contributor authorE. F. Fichter
    contributor authorK. H. Hunt
    date accessioned2017-05-08T22:59:12Z
    date available2017-05-08T22:59:12Z
    date copyrightAugust, 1975
    date issued1975
    identifier issn1087-1357
    identifier otherJMSEFK-27626#807_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/87797
    description abstractA number of theorems interrelating certain properties of the algebraic loci traced by some mechanisms are presented. The properties discussed are the algebraic-geometric concepts of order, class, and rank, which are here shown to be related to one another by some new theorems based entirely on the kinematic geometry of the mechanisms. These theorems lead to a better understanding of the geometric relationships both within a mechanism and between different mechanisms. The theorems are also useful in some cases for determining these algebraic-geometric properties.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleSome Properties of Mechanically-Traceable Algebraic Loci
    typeJournal Paper
    journal volume97
    journal issue3
    journal titleJournal of Manufacturing Science and Engineering
    identifier doi10.1115/1.3438686
    journal fristpage807
    journal lastpage813
    identifier eissn1528-8935
    keywordsTheorems (Mathematics)
    keywordsGeometry AND Mechanisms
    treeJournal of Manufacturing Science and Engineering:;1975:;volume( 097 ):;issue: 003
    contenttypeFulltext
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