In this note we study about a circle (refered as avi circle) which passes through the six notable touch points and having center at centroid (G) of triangle ABC and radius as
http://www.josa.ro/docs/josa_2020_1/a_11_Krishna_97-102_6p.pdf
Tuesday, July 27, 2021
Saturday, June 19, 2021
Several observations about Maneeals - a peculiar system of lines
For an arbitrary triangle ABC and an integer n we define points Dn, En, Fn on the sides BC, CA, AB respectively, in such a manner that
|AC|n/|AB|n =|CDn|/|BDn|, |AB|n/|BC|n = |AEn|/|CEn|, |BC|n/|AC|n =|BFn|/|AFn|.
Cevians ADn, BEn, CFn are said to be the Maneeals of order n. In this paper we discuss some properties of the Maneeals and related objects.On a Conic Through Twelve Notable Points
: In this article we present a conic which passes through a twelve notable points and as a result of the conic we also study few Concurrency, Collinearity and Perspectivity results.
http://www.ijaamm.com/uploads/2/1/4/8/21481830/v7n2p1_1-15.pdf
On the Feuerbach Triangle
We study the relations among the Feuerbach points of a triangle and the feet of the angle bisectors. From these points we construct 6 points, pairwise on the three sides of the triangle, which lie on a conic. In addition, we also establish some collinearity and perspectivity results.
A New Consequence Of Van Aubel’s Theorem
In this short paper we study some properties of the lines associated with van Aubel’s theorem in the special case when squares are replaced with equilateral triangles constructed on the sides of an arbitrary quadrilateral.
On a New Proof of Feuerbach’s Theorem
In this article we present a new proof of the Feuerbach’s Theorem by using a metric relation of Nine Point Center. So, by using a new and very modern method the above well know theorem is proved.
http://www.papersciences.com/Krishna-Univ-J-Appl-Math-Comp-Vol4-2016-4.pdf
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