Bicycle Constraint and Menzin’s Conjecture

碩士 === 國立臺灣大學 === 數學研究所 === 101 === First we compare how a bicycle behaves with how a Prytz planimeter works. A planimeter is an instrument that used to measure the area bounded by a closed curve. There are many type of planimeters, while the Prytz planimeter works the same as a bicycle, but has a t...

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Bibliographic Details
Main Authors:	Chih-Ju Huang, 黃志儒
Other Authors:	Ai-Nung Wang
Format:	Others
Language:	en_US
Published:	2013
Online Access:	http://ndltd.ncl.edu.tw/handle/27684937159408268387

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spelling	ndltd-TW-101NTU054790052016-03-16T04:15:06Z http://ndltd.ncl.edu.tw/handle/27684937159408268387 Bicycle Constraint and Menzin’s Conjecture 自行車的制約與Menzin猜想 Chih-Ju Huang 黃志儒碩士國立臺灣大學數學研究所 101 First we compare how a bicycle behaves with how a Prytz planimeter works. A planimeter is an instrument that used to measure the area bounded by a closed curve. There are many type of planimeters, while the Prytz planimeter works the same as a bicycle, but has a totally different phenomenon. Menzin characterised these phenomenon. We also prove the Menzin''s Conjecture under a special case that the front wheel moves in a convex closed curve. Ai-Nung Wang 王藹農 2013 學位論文 ; thesis 21 en_US
collection	NDLTD
language	en_US
format	Others
sources	NDLTD
description	碩士 === 國立臺灣大學 === 數學研究所 === 101 === First we compare how a bicycle behaves with how a Prytz planimeter works. A planimeter is an instrument that used to measure the area bounded by a closed curve. There are many type of planimeters, while the Prytz planimeter works the same as a bicycle, but has a totally different phenomenon. Menzin characterised these phenomenon. We also prove the Menzin''s Conjecture under a special case that the front wheel moves in a convex closed curve.
author2	Ai-Nung Wang
author_facet	Ai-Nung Wang Chih-Ju Huang 黃志儒
author	Chih-Ju Huang 黃志儒
spellingShingle	Chih-Ju Huang 黃志儒 Bicycle Constraint and Menzin’s Conjecture
author_sort	Chih-Ju Huang
title	Bicycle Constraint and Menzin’s Conjecture
title_short	Bicycle Constraint and Menzin’s Conjecture
title_full	Bicycle Constraint and Menzin’s Conjecture
title_fullStr	Bicycle Constraint and Menzin’s Conjecture
title_full_unstemmed	Bicycle Constraint and Menzin’s Conjecture
title_sort	bicycle constraint and menzin’s conjecture
publishDate	2013
url	http://ndltd.ncl.edu.tw/handle/27684937159408268387
work_keys_str_mv	AT chihjuhuang bicycleconstraintandmenzinsconjecture AT huángzhìrú bicycleconstraintandmenzinsconjecture AT chihjuhuang zìxíngchēdezhìyuēyǔmenzincāixiǎng AT huángzhìrú zìxíngchēdezhìyuēyǔmenzincāixiǎng
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Bicycle Constraint and Menzin’s Conjecture

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