• 제목/요약/키워드: law of lever

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아르키메데스가 《The Method》에서 원뿔의 무게중심을 구한 방식에 대한 하나의 가설 (An Assumption on How Archimedes Found out the Center of Gravity of Cones in 《The Method》)

  • 박선용;홍갑주
    • 한국수학사학회지
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    • 제26권5_6호
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    • pp.371-388
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    • 2013
  • In ${\ll}$The Method${\gg}$, Archimedes presented the famous heuristic technique for calculating areas, volumes and centers of gravity of various plane and solid figures, utilizing the law of the lever. In that treatise, Archimedes used the fact that the center of gravity of a cone lies one-quarter of the way from the center of the base to the vertex, but the proof of this is not extant in his works. This study analyzes the propositions and their relations of ${\ll}$The Method${\gg}$ focusing on the procedural characteristics of the 'method' of Archimedes. According to the result of that analysis, this study discusses the likely approach which was taken for Archimedes to find out the center of gravity of a cone.

도형의 무게중심과 관련된 오개념 및 논리적 문제 (Misunderstandings and Logical Problems Related to the Centroid of a Polygon)

  • 홍갑주
    • 대한수학교육학회지:학교수학
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    • 제7권4호
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    • pp.391-402
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    • 2005
  • 도형의 무게중심에 대한 일반적인 고찰은 삼각형의 무게중심에 대한 오개념을 올바르게 이해하게 해 주며, 일반화와 특수화, 해의 존재성과 유일성, 실세계의 수학적 모델링, 공리적 방법론 등과 관련하여 교육적으로 유익한 논의를 유발시킨다 는 점에서 가치가 있다. 본 연구는 무게중심에 대한 오개념의 파악과 해소를 위한 수학적 분석을 제시했으며, 다각형의 무게중심을 구하는 학생들의 잘못된 전략을 분석하여 교육적인 시사점을 얻었다. 또한, 다각형 무게중심의 탐구과정에서 제기될 수 있는 논리적 문제를 밝히고 해결하였다.

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사회적 배제 개념의 의미와 정책적 함의 : 비교관점에서의 프랑스를 중심으로 (Significance of 'Social Exclusion' and its Consideration of Welfare Policy : On the Case of France in the Comparative Perspective)

  • 심창학
    • 한국사회복지학
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    • 제44권
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    • pp.178-208
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    • 2001
  • This study concerns the understanding of 'social exclusion' which is getting poplular in Europe as the new term or paradigm in order to resolve poverty problem. As case study on the France, the purpose of this study is to extract the consideration of welfare policy and suggestions as to us. In order to understand comprehensively the concept 'social exclusion' and the situation of the France, this study analyzes the existing researches on its concept and tries to realize a comparative study. Thus, this study indicates that the France is the state which has taken the most interest in 'social exclusion'. The second parti of this study concerns the change of the concept 'social exclusion' and its policies in the France. The concept 'social exclusion' which has used in the 1960's, has settled as the term of policies in the 1980's, thanks to seriousness of poverty and unemployment problem and change of social consciousness (opinion). As policy on the 'social exclusion', there are Revenu minimum d'insertion of the 1988 and law on the social exclusion of the 1998. Through analysis of policies on the 'social exclusion' in the France, we can get the following consideration of welfare policy and suggestions: on the macro level, the necessity to establish the comprehensive perspective on the poverty problem, invention and development of the term as regard to social new problem; on the micro lever, planning of welfare program according to clients needs, importance of perpetual assessing of the existing welfare program and institutions, the institutional establishment of 'reserve budget', the application of decentralization principle and the active participation of the private sector in order to promote the effectiveness and the efficiency of the program and institutions.

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