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    A Foundation for a Unified Theory of Analysis of Spatial Mechanisms

    Source: Journal of Manufacturing Science and Engineering:;1975:;volume( 097 ):;issue: 004::page 1159
    Author:
    J. Duffy
    ,
    J. Rooney
    DOI: 10.1115/1.3438718
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: In analogy with a spherical (spatial) triangle there are only three fundamental loop equations for any spherical (spatial) polygon, namely the real (dual) sine, sine-cosine, and cosine laws. All other loop equations which fall naturally into groups of subsidiary sine, sine-cosine, and cosine laws can be derived from the three basic laws. Novel half-tangent laws are derived which are expressions for the common root of pairs of sine and sine-cosine laws.
    keyword(s): Unified field theories , Equations AND Mechanisms ,
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      A Foundation for a Unified Theory of Analysis of Spatial Mechanisms

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    http://yetl.yabesh.ir/yetl1/handle/yetl/87739
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    contributor authorJ. Duffy
    contributor authorJ. Rooney
    date accessioned2017-05-08T22:59:05Z
    date available2017-05-08T22:59:05Z
    date copyrightNovember, 1975
    date issued1975
    identifier issn1087-1357
    identifier otherJMSEFK-27631#1159_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/87739
    description abstractIn analogy with a spherical (spatial) triangle there are only three fundamental loop equations for any spherical (spatial) polygon, namely the real (dual) sine, sine-cosine, and cosine laws. All other loop equations which fall naturally into groups of subsidiary sine, sine-cosine, and cosine laws can be derived from the three basic laws. Novel half-tangent laws are derived which are expressions for the common root of pairs of sine and sine-cosine laws.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleA Foundation for a Unified Theory of Analysis of Spatial Mechanisms
    typeJournal Paper
    journal volume97
    journal issue4
    journal titleJournal of Manufacturing Science and Engineering
    identifier doi10.1115/1.3438718
    journal fristpage1159
    journal lastpage1164
    identifier eissn1528-8935
    keywordsUnified field theories
    keywordsEquations AND Mechanisms
    treeJournal of Manufacturing Science and Engineering:;1975:;volume( 097 ):;issue: 004
    contenttypeFulltext
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