On finding the shortest distance of a point from a line: Which method do you prefer?
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| Title: | On finding the shortest distance of a point from a line: Which method do you prefer? |
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| Authors: | Gore, Bhalchandra1 bwgore@cms.unipune.ac.in |
| Source: | Resonance: Journal of Science Education. Jul2017, Vol. 22 Issue 7, p705-714. 10p. |
| Subject Terms: | Distances, Line geometry, Mathematical formulas, Lagrange multiplier, Mathematical analysis |
| Abstract: | The formula for the shortest distance of a point from a line can be derived in several different ways. Some typical methods are taught at the elementary (i.e., high-school and junior college) level. However, solving such 'school-book' problems using advanced mathematical methods is often overlooked and neglected. This article illustrates how this formula can be derived in various ways. Such a comparison will not only encourage the reader to explore and understand how and why mathematical techniques work, but it will also help understand the common thread between different branches of mathematics. This exercise also shows that 'the best way' to solve a mathematical problem is a misnomer. [ABSTRACT FROM AUTHOR] |
| Copyright of Resonance: Journal of Science Education is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Education Research Complete |
| FullText | Links: – Type: pdflink Text: Availability: 0 |
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| Header | DbId: ehh DbLabel: Education Research Complete An: 124967629 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: On finding the shortest distance of a point from a line: Which method do you prefer? – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Gore%2C+Bhalchandra%22">Gore, Bhalchandra</searchLink><relatesTo>1</relatesTo><i> bwgore@cms.unipune.ac.in</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Resonance%3A+Journal+of+Science+Education%22">Resonance: Journal of Science Education</searchLink>. Jul2017, Vol. 22 Issue 7, p705-714. 10p. – Name: Subject Label: Subject Terms Group: Su Data: <searchLink fieldCode="DE" term="%22Distances%22">Distances</searchLink><br /><searchLink fieldCode="DE" term="%22Line+geometry%22">Line geometry</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+formulas%22">Mathematical formulas</searchLink><br /><searchLink fieldCode="DE" term="%22Lagrange+multiplier%22">Lagrange multiplier</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+analysis%22">Mathematical analysis</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: The formula for the shortest distance of a point from a line can be derived in several different ways. Some typical methods are taught at the elementary (i.e., high-school and junior college) level. However, solving such 'school-book' problems using advanced mathematical methods is often overlooked and neglected. This article illustrates how this formula can be derived in various ways. Such a comparison will not only encourage the reader to explore and understand how and why mathematical techniques work, but it will also help understand the common thread between different branches of mathematics. This exercise also shows that 'the best way' to solve a mathematical problem is a misnomer. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Resonance: Journal of Science Education is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
| PLink | https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=ehh&AN=124967629 |
| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1007/s12045-017-0514-x Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 10 StartPage: 705 Subjects: – SubjectFull: Distances Type: general – SubjectFull: Line geometry Type: general – SubjectFull: Mathematical formulas Type: general – SubjectFull: Lagrange multiplier Type: general – SubjectFull: Mathematical analysis Type: general Titles: – TitleFull: On finding the shortest distance of a point from a line: Which method do you prefer? Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Gore, Bhalchandra IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 07 Text: Jul2017 Type: published Y: 2017 Identifiers: – Type: issn-print Value: 09718044 Numbering: – Type: volume Value: 22 – Type: issue Value: 7 Titles: – TitleFull: Resonance: Journal of Science Education Type: main |
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