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Volume 26 (2024)
Volume 26, Issue 2 (In Progress)
Pg 71 - 124 (December 2024)
Volume 26, Issue 1
Pg 1 - 70 (June 2024)
Volume 25 (2023)
Volume 25,
Pg 1 - 72 (December 2023)
Volume 24 (2023)
Volume 24,
Pg 1 - 50 (June 2023)
Volume 23 (2022)
Volume 23,
Pg 1 - 101 (December 2022)
Volume 22 (2022)
Volume 22,
Pg 1 - 50 (June 2022)
Volume 21 (2021)
Volume 21, Issue 2
Pg 123 - 206 (December 2021)
Volume 21, Issue 1
Pg 1 - 121 (June 2021)
Volume 20 (2020)
Volume 20, Issue 3
Pg 65 - 125 (October 2020)
Volume 20, Issue 1-2
Pg 1 - 64 (June 2020)
Volume 19 (2019)
Volume 19, Issue 3
Pg 141 - 213 (October 2019)
Volume 19, Issue 2
Pg 87 - 139 (June 2019)
Volume 19, Issue 1
Pg 1 - 86 (February 2019)
Volume 18 (2018)
Volume 18, Issue 3
Pg 85 - 120 (October 2018)
Volume 18, Issue 2
Pg 41 - 83 (June 2018)
Volume 18, Issue 1
Pg 1 - 40 (February 2018)
Volume 17 (2017)
Volume 17, Issue 4
Pg 165 - 229 (November 2017)
Volume 17, Issue 3
Pg 105 - 163 (August 2017)
Volume 17, Issue 2
Pg 63 - 103 (May 2017)
Volume 17, Issue 1
Pg 1 - 61 (February 2017)
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Volume 16, Issue 4
Pg 347 - 433 (November 2016)
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Pg 243 - 346 (August 2016)
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Pg 135 - 242 (May 2016)
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Pg 1 - 133 (February 2016)
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Pg 1 - 68 (February 2015)
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Volume 13, Issue 2
Pg 91 - 158 (November 2014)
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Pg 1 - 89 (August 2014)
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Volume 12, Issue 2
Pg 103 - 203 (May 2014)
Volume 12, Issue 1
Pg 1 - 101 (February 2014)
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Volume 11, Issue 2
Pg 123 - 241 (November 2013)
Volume 11, Issue 1
Pg 1 - 121 (August 2013)
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Volume 10, Issue 2
Pg 109 - 213 (May 2013)
Volume 10, Issue 1
Pg 1 - 107 (February 2013)
Volume 9 (2012)
Volume 9, Issue 2
Pg 95 - 217 (November 2012)
Volume 9, Issue 1
Pg 1 - 93 (August 2012)
Volume 8 (2012)
Volume 8, Issue 2
Pg 85 - 183 (May 2012)
Volume 8, Issue 1
Pg 1 - 83 (February 2012)
Volume 7 (2011)
Volume 7, Issue 2
Pg 81 - 162 (November 2011)
Volume 7, Issue 1
Pg 1 - 80 (August 2011)
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Volume 6, Issue 2
Pg 81 - 165 (May 2011)
Volume 6, Issue 1
Pg 1 - 80 (February 2011)
Volume 5 (2010)
Volume 5, Issue 2
Pg 87 - 171 (November 2010)
Volume 5, Issue 1
Pg 1 - 85 (August 2010)
Volume 4 (2010)
Volume 4, Issue 2
Pg 93 - 188 (May 2010)
Volume 4, Issue 1
Pg 1 - 91 (February 2010)
Volume 3 (2009)
Volume 3, Issue 3
Pg 203 - 293 (October 2009)
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Pg 105 - 201 (June 2009)
Volume 3, Issue 1
Pg 1 - 104 (February 2009)
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Volume 2, Issue 2
Pg 91 - 217 (December 2008)
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Pg 1 - 89 (June 2008)
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Volume 1, Issue 2
Pg 67 - 140 (December 2007)
Volume 1, Issue 1
Pg 1 - 65 (June 2007)
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Far East Journal of Mathematical Education
Far East Journal of Mathematical Education
Volume 5, Issue 2, Pages 97 - 105 (November 2010)
INVESTIGATING THE CIRCLE IN GENERAL POSITION
Andrew Percy and John Arkinstall
Abstract:
The circle is a familiar object which can be used to motivate and demonstrate many mathematical and geometrical techniques. For example, in this paper we use the undergraduate approaches of vector geometry and linear algebra to answer the question “What is the equation of a circle in general position in three dimensional space?” The familiarity of the circle provides a visual aide to help understand concepts of three dimensional geometry such as orthogonality, vector function and rotation of axis. The circle can lead us much further into such concepts as abstract coordinate systems and representations.
Keywords and phrases:
circle in general position, vector geometry, linear transformation.
Communicated by Luis Radford
Number of Downloads:
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P-ISSN: 0973-5631
E-ISSN: 2583-343X
Journal Stats
Publication count:
326
Citation count (Google Scholar):
419
h10-index (Google Scholar):
11
h-index (Google Scholar):
10
Downloads :
93311
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Downloads/publish articles:
286.23
Citations (Google Scholar)/publish articles:
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