Conditions For Geometrical Construction of Polygons

International Journal of Mathematics Trends and Technology (IJMTT)
© 2021 by IJMTT Journal
Volume-67 Issue-1
Year of Publication : 2021
Authors : Rajasekhar Parameswara, Parameswara Aiyer Nilakanta


MLA Style: Rajasekhar Parameswara, Parameswara Aiyer Nilakanta  "Conditions For Geometrical Construction of Polygons" International Journal of Mathematics Trends and Technology 67.1 (2021):1-8. 

APA Style: Rajasekhar Parameswara, Parameswara Aiyer Nilakanta(2021). Conditions For Geometrical Construction of Polygons International Journal of Mathematics Trends and Technology, 1-8.

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.


[1] Aiyer, Parameswara Nilakanta Vaikom, The Class Book of Geometry, MS (unpublished), c.1930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

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