We revisit constructions based on triads of conics with foci at pairs of vertices of a reference triangle. We find that their 6 vertices lie on well-known conics, whose type we analyze. We give conditions for these to be circles and/or degenerate. In the latter case, we study the locus of their center.Comment: 24 pages, 24 figures, 17 reference
We consider families of confocal conics and two pencils of Apollonian circles having the same foci. ...
The purpose of this note is to report, in narrative rather than rigorous style, about the nice geome...
The theorem about six concyclic points, some of them obtained by means of the symmedians and a media...
Podsjećamo na konstrukcije temeljene na trijadama konika sa žarištima u parovima vrhova referetnog t...
In this note, we explore an apparently new one parameter family of conics associated to a triangle. ...
We study some properties of a triad of circles associated with a triangle. Each circle is inside the...
If one erects regular hexagons upon the sides of a triangle $T$, several surprising properties emerg...
In this article, we introduce an algorithm for automatic generation and categorization of triangle g...
We describe some three-dozen curious phenomena manifested by parabolas inscribed or circumscribed ab...
Dr. Ron Knott constructed a graph of all Primitive Pythagorean Triples (PPTs) with legs up to length...
The article observes a one-parameter triangle family T . We prove that the sets of the orthocenters,...
Inverting the vertices of elliptic billiard N-periodics with respect to a circle centered on one foc...
In classical geometry, there is no such well-known and much-studied topic as the construction of con...
Scattered through the field of elementary mathematics there are a number of conics which have receiv...
Conic sections, or conics, include the various geometric figures created by the intersection of a pl...
We consider families of confocal conics and two pencils of Apollonian circles having the same foci. ...
The purpose of this note is to report, in narrative rather than rigorous style, about the nice geome...
The theorem about six concyclic points, some of them obtained by means of the symmedians and a media...
Podsjećamo na konstrukcije temeljene na trijadama konika sa žarištima u parovima vrhova referetnog t...
In this note, we explore an apparently new one parameter family of conics associated to a triangle. ...
We study some properties of a triad of circles associated with a triangle. Each circle is inside the...
If one erects regular hexagons upon the sides of a triangle $T$, several surprising properties emerg...
In this article, we introduce an algorithm for automatic generation and categorization of triangle g...
We describe some three-dozen curious phenomena manifested by parabolas inscribed or circumscribed ab...
Dr. Ron Knott constructed a graph of all Primitive Pythagorean Triples (PPTs) with legs up to length...
The article observes a one-parameter triangle family T . We prove that the sets of the orthocenters,...
Inverting the vertices of elliptic billiard N-periodics with respect to a circle centered on one foc...
In classical geometry, there is no such well-known and much-studied topic as the construction of con...
Scattered through the field of elementary mathematics there are a number of conics which have receiv...
Conic sections, or conics, include the various geometric figures created by the intersection of a pl...
We consider families of confocal conics and two pencils of Apollonian circles having the same foci. ...
The purpose of this note is to report, in narrative rather than rigorous style, about the nice geome...
The theorem about six concyclic points, some of them obtained by means of the symmedians and a media...
Add to ORKG