Add to ORKGThe three lines 1i = aix +biy+ ci = 0, i = 1, 2, 3, meet in a point if the third order determinant │a1b2c3│ is zero. This is a necessary and sufficient condition if it is assumed that three parallel lines meet in a point. This paper is concerned with the answer to the question: How many points can be associated with a given third order determinant which is zero if equations of lines are formed by using the elements of the determinant as the coefficients
AbstractThe twelve point Desmic configuration in Euclidean three space is composed of three finite s...
In this paper, a new kind of resultant, called the determinantal resultant, is introduced. This oper...
summary:We give an example of a set $P$ of $3n$ points in $\Bbb R 3$ such that, for any partition of...
The three lines 1i = aix +biy+ ci = 0, i = 1, 2, 3, meet in a point if the third order determinant │...
This article focuses on the nontrivial determinant identities which typically underlie the complex a...
© Geometry & Topology PublicationsFrom any configuration of finitely many points in Euclidean three-...
Concurrence of lines. An extremely common theme in plane geometry is that of proving the concurrence...
summary:The author investigates methods of nomographing functional relations among three complex var...
AbstractLet P be a set of n points in R3, not all of which are in a plane and no three on a line. We...
Covers one example of finding the determinant of a 3x3 matrix. Note at the end regarding the fact th...
The question which equations of hypersurfaces in the complex projective space can be expressed as th...
Abstract. We study the triangle formed by three points each on a Fermat line of a given triangle, an...
The subject of collinearity of 3 points on a line is challenging for 7th- grade students. This artic...
We study in this paper the projective ordinals δ^1_n, where δ^1_n = sup{ξ: ξ is the length of ɑ Δ^1_...
In this paper we develop a technique for proving determinacy of classes of the form ω²-Π¹₁+Γ (a refi...
AbstractThe twelve point Desmic configuration in Euclidean three space is composed of three finite s...
In this paper, a new kind of resultant, called the determinantal resultant, is introduced. This oper...
summary:We give an example of a set $P$ of $3n$ points in $\Bbb R 3$ such that, for any partition of...
The three lines 1i = aix +biy+ ci = 0, i = 1, 2, 3, meet in a point if the third order determinant │...
This article focuses on the nontrivial determinant identities which typically underlie the complex a...
© Geometry & Topology PublicationsFrom any configuration of finitely many points in Euclidean three-...
Concurrence of lines. An extremely common theme in plane geometry is that of proving the concurrence...
summary:The author investigates methods of nomographing functional relations among three complex var...
AbstractLet P be a set of n points in R3, not all of which are in a plane and no three on a line. We...
Covers one example of finding the determinant of a 3x3 matrix. Note at the end regarding the fact th...
The question which equations of hypersurfaces in the complex projective space can be expressed as th...
Abstract. We study the triangle formed by three points each on a Fermat line of a given triangle, an...
The subject of collinearity of 3 points on a line is challenging for 7th- grade students. This artic...
We study in this paper the projective ordinals δ^1_n, where δ^1_n = sup{ξ: ξ is the length of ɑ Δ^1_...
In this paper we develop a technique for proving determinacy of classes of the form ω²-Π¹₁+Γ (a refi...
AbstractThe twelve point Desmic configuration in Euclidean three space is composed of three finite s...
In this paper, a new kind of resultant, called the determinantal resultant, is introduced. This oper...
summary:We give an example of a set $P$ of $3n$ points in $\Bbb R 3$ such that, for any partition of...