Year LXI, Issue 1, 2018<<Archive>>
In this issue:
Еditoriаl
Еducаtionаl Маttеrs
COMPUTER DISCOVERED MATHEMATICS: CONSTRUCTIONS OF MALFATTI SQUARES
By using the computer program “Discoverer” we find 85 different geometric constructions of Malfatti squares. Of them 79 are new constructions, and the other 6 are old constructions.
Malfatti squares; geometric construction; triangle geometry; computer discovered mathematics; Euclidean geometry; “Discoverer”
DIAGONAL CONFIGURATIONS OF POINTS. TRIANGLE RULE. INVARIANTS
Some new concepts such as diagonal configuration of points and its invariants are introduced in the present work. It is shown that the quadrilateral and the octahedron are concretization of a diagonal configuration of points and that the invariants of these c...
n-dimensional space; coordinate; point, vector; diagonal configuration of points; determinant; invariant; triangle rule
REALIZATION OF INTERDISCIPLINARY CONNECTIONS IN MATHEMATICS TRAINING – TRIGONOMETRIC FUNCTIONS AND PROGRESSIONS
Examples are shown in the present paper about the realization of interdisciplinary connections between trigonometric functions and progressions in high school mathematical curriculum.
internal disciplinary connection; trigonometric function; arithmetic and geometric progression; problem solving
Еducаtionаl Tеchnologiеs
TRIANGLES WITH EQUAL AREAS, GENERATED BY TWO TRANSFORMATIONS IN THE TRIANGLE PLANE
The paper is an elaboration by high school students under the scientific advices of Assoc. Prof. Dr. Veselin Nenkov. The new results in it were estimated highly during its presentation at the International competition “Methodology and Information Technologies...
triangle; area; isotomic transformation; isogonal transformation; polynomial root
CONNECTIONS AMONG NOTABLE POINTS IN THE QUADRILATERAL
The paper considers some geometric connections among different notable points in the quadrilateral. What are obtained are three notable circles and two notable lines which contain some of these points.
quadrilateral; notable point; line; circle
CENTRAL CONIC TRIPLETS THROUGH A FIXED POINT ON A FIXED CONIC
The paper presents a generalization of a problem for circles through a fixed point in the plane of a given triangle.
triangle; center; centroid; circum curve; Euler line