• Title/Summary/Keyword: the principle of the lever

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A Study on Triangle's Properties related with Angle Bisectors, Perpendiculars, Circumcenter Using the Principle of the Lever (지렛대 원리를 이용한 삼각형의 각의 이등분선, 수선, 외심의 성질 탐구)

  • Han, In-Ki
    • Communications of Mathematical Education
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    • v.22 no.1
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    • pp.27-39
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    • 2008
  • In this paper we study triangle's properties related with angle bisectors, perpendiculars, circumcenter using the principle of the lever. We analyze proof method using the principle of the lever, and describe how to investigate intersection of segments, how to prove equalities and inequalities using the principle of the lever in triangle.

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A Study on Solving Geometry Problems related with the Ratio of Segments Using the Principle of the Lever (지렛대 원리를 활용한 선분의 비에 관련된 도형 문제의 해결에 대한 연구)

  • Han, In-Ki;Hong, Dong-Hwa
    • Communications of Mathematical Education
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    • v.20 no.4 s.28
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    • pp.621-634
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    • 2006
  • In this study we describe the characteristics of solving geometry problems related with the ratio of segments using the principle of the lever and the center of gravity, compare and analyze this problem solving method with the traditional Euclidean proof method and the analytic method.

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A Study on Tetrahedron's Properties related with Intersection of Segments and Planes Using the Principle of the Lever (사면체에서 지렛대의 원리를 이용한 선분들 및 평면들의 교차에 관한 성질 연구)

  • Lee, Kwang-Rok;Son, Jin-O;Song, A-Rom;Baek, Soo-Hean;Chung, Ki-Young;Han, In-Ki
    • Communications of Mathematical Education
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    • v.21 no.4
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    • pp.663-676
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    • 2007
  • In this paper we study tetrahedron's properties related with intersection of segments and planes using the principle of the lever. We analyze proof method using the principle of the lever, and describe how to prove intersection of segments and planes using the principle of the lever in tetrahedron.

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A Study on Gergonne's Point and Its Adjoint Points of Triangle Using the Principle of the Lever (지렛대 원리를 이용한 삼각형의 Gergonne점과 딸림점에 대한 연구)

  • Han, In-Ki
    • Communications of Mathematical Education
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    • v.22 no.4
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    • pp.545-556
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    • 2008
  • In this paper we study Gergonne's point and its adjoint points of triangle using the principle of the lever. We prove existence of Gergonne's point and its adjoint points, suggest new proof method of a equality related with Gergonne's point. We find new equalities related with adjoint points of Gergonne's points, and prove these using the principle of the lever.

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The New Interpretation of Archimedes' 'method' (아르키메데스 '방법'에 대한 새로운 해석)

  • Park, Sun-Yong
    • Journal for History of Mathematics
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    • v.23 no.4
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    • pp.47-58
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    • 2010
  • This study suggests new interpretation about ancient mathematician Archimedes' 'method'. For this, we examined the core issue related to the interpretation of the 'method' and identified the unclear relation between the principle of the lever and the indivisibles, both of which have consisted of the main point of arguments. And by having conducted the exploratory historical guesswork about Archimedes' careful use of indivisibles, we make a hypothesis that the role of the principle of the lever in Archimedes' 'method' should be the control of ratio of change.

A Study on Solving Word Problems Related with Consistency Using the Lever Model (지렛대 모델을 이용한 농도 문제의 해결에 대한 연구)

  • Kim, Jae-Kyoung;Lee, Seong-Hyun;Han, In-Ki
    • Communications of Mathematical Education
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    • v.24 no.1
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    • pp.159-175
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    • 2010
  • In this paper we make a new problem solving model using the principle of the lever. Using the model we solved many word problems related with consistency. We suggest new problem solving method using the lever model and describe some characteristics of the method.

Design and Control of 3DOF High Precision Positioning System With Double L Type Flexure Hinge Module

  • Kim, Ki-Beom;Jeon, Seung-Jin;Hwang, Dal-Yeon;Choi, Young-Jun;Park, Suk-Ho
    • 제어로봇시스템학회:학술대회논문집
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    • 2003.10a
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    • pp.2524-2528
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    • 2003
  • High-precision position system is widely used in lots of fields such as semiconductor industry, biotechnology, display and other up-to-date industry field. One of the main issues is to have a long traveling range with precision. There are a few solutions. For instance, there are inchworm methods, lever principle. In this study, we use lever principle to amplify output displacement with a new mechanical amplification structure. We designed new type 3DOF stage with PZT actuator and capacitive sensor. Non-monolithic structure is suggested to obtain the convenience of assembly and modification. Driving parts are designed as modules that generate displacement amplification of each axis. Designed motion module consists of 3 flexure hinges and a PZT actuator with double L lever structure.

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Teachers' Perceptions of Explanatory Method Based-on Process Viewpoint for Floating and Sinking Phenomena (뜨고 가라앉는 현상에 대한 과정적 관점 설명방식에 대한 교사들의 인식)

  • Kim, Sungki;Paik, Seoung-Hye
    • Journal of The Korean Association For Science Education
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    • v.40 no.6
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    • pp.583-594
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    • 2020
  • In this study, the existing concept of density has a limitation in providing the cause of phenomena, and the concept of buoyancy poses a problem because it has many misconceptions and requires an overly difficult concept to understand quantitative calculation, so we suggest an explaining method as process viewpoint introducing the principle of lever. The new method of explanation has been proposed using the lever as visual tool to reveal the gravity as the fundamental principle and process viewpoint. As a result, teachers stayed on many alternative concepts and less than half of the teachers were aware that density was related to gravity. In addition, they recognized it as matter viewpoints, but there is a meaningful conceptual change after intervention(p<.000). Also, they evaluated that the new method is better able to recognize the principle and process viewpoint than the existing description method. Through this, we can confirm the educational value of explaining method as process viewpoint introducing the principle of lever.

A Realization of Tone in Modern Chinese by the Leverage Principle and Its Teaching Strategies (지렛대 원리에 따른 중국어 성조 실현과 교육 방법)

  • Chang, Ho-Deug
    • Cross-Cultural Studies
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    • v.30
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    • pp.259-277
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    • 2013
  • This article covers realization of tone in Modern Chinese by the leverage principle, and then explores its teaching strategies. The results of this study are as follows: The teaching strategies are as follows: Firstly, pronouncing Chinese vowels always takes far longer than you anticipate. Secondly, pronounce and practice Chinese vowels with leverage principle. Thirdly, understand and practice the sound change rule of '?'.

Analysis on operating efficiency of shell divider using the principle of the lever for the purple sea urchin, Anthocidaris crassispina (지렛대 원리를 이용한 성게 껍질 분할기 작업 능률 분석)

  • Park, Young-Seok;Kim, Byung-Yeob;Lee, Chang-Heon
    • Journal of the Korean Society of Fisheries and Ocean Technology
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    • v.50 no.1
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    • pp.83-88
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    • 2014
  • A new shell divider was manufactured according to the principle of the lever in order to improve working efficiency in collecting the gonad of Sea Urchin, Anthocidaris crassispina, around the coast of jeju. It was composed of three parts of a pair of handles for grasping power, a fulcrum and a pair of knives for action with 21cm in length and 13cm in width. The operating efficiency of the shell divider was tested out in three place of Jeju coast. Statistical significances of differences of working time between test groups were calculated according to the t-test with the level of significance. In dividing the shell of sea urchin, the average of about 3 seconds of working time by the shell divider was less than that by a knife. At the result of t-test, the statistical significance in the working time existed between the divider group and the knife group. On the other hand, the working time among the divider operators showed no significant differences. It is concluded that the shell divider is more efficient than a knife in traditional operating.