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International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 67 | Issue 1 | Year 2021 | Article Id. IJMTT-V67I1P501 | DOI : https://doi.org/10.14445/22315373/IJMTT-V67I1P501

Conditions For Geometrical Construction of Polygons


Rajasekhar Parameswara, Parameswara Aiyer Nilakanta
Abstract

Construction of rectilinear figures using straight edge and compasses are dealt with prime importance in geometry. Three independent conditions (Data) are required to construct a scalene triangle. Similarly five independent conditions are required for constructing a quadrilateral. This paper deals with the conditions required to construct an irregular polygon having ‘n’ sides.

Keywords
Straight edge, Geometry, irregular polygons, compasses, Construction, conditions, Aryabhateeyam, Ganitha pada,
References

[1] Aiyer, Parameswara Nilakanta Vaikom, The Class Book of Geometry, MS (unpublished), c.1930
[2] Barnard. S and Child J.M, Elements of Geometry, Macmillan and Co Lmimited, London, 1948
[3] Joseph, Gheverghese, The Crest of the Peacock, non-European Rules of Mathematics, Princeton and Oxford: Princeton University Press, London, 2000.
[4] Joseph, Gheverghese. Kerala Mathematics History and its Possible Transmission to Europe. B.R Publishing Corporation, Delhi, 2009.
[5] Panicker, V.B., Līlāvati, Kurukshetra Prakashasan, Ernakulam, 2006.
[6] Pillai, Kunjan Surand, The Āryabhaṭīyam, The Bhaskara Press, Trivandrum, 1957
[7] Parameswaran, S., The golden age of Indian Mathematics, Swadeshi Science Movement, Trivandrum, 1990.
[8] Rajasekhar, P. (2018) New Extension for Pythagoras theorem and its applications, International Journal Mathematics Trends and Technology, 54(II), 236-239.
[9] Rajasekhar, P. (2011) Derivation of remainder term for the series expansion of π as depicted in Yuktibhāṣā and its modern interpretation, Bulletin of Kerala Mathematical Association,8(1), 17-39

Citation :

Rajasekhar Parameswara, Parameswara Aiyer Nilakanta, "Conditions For Geometrical Construction of Polygons," International Journal of Mathematics Trends and Technology (IJMTT), vol. 67, no. 1, pp. 1-8, 2021. Crossref, https://doi.org/10.14445/22315373/IJMTT-V67I1P501

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