Zobrazeno 1 - 10
of 45
pro vyhledávání: '"Ema Jurkin"'
Publikováno v:
AppliedMath, Vol 4, Iss 1, Pp 250-260 (2024)
In this paper, we study the properties of a complete quadrangle in the Euclidean plane. The proofs are based on using rectangular coordinates symmetrically on four vertices and four parameters a,b,c,d. Here, many properties of the complete quadrangle
Externí odkaz:
https://doaj.org/article/d8ca6da151394f22bbbdb1cf9385e404
Publikováno v:
Axioms, Vol 13, Iss 6, p 349 (2024)
In this paper, we study the complete quadrangle. We started this investigation in a few of our previous papers. In those papers and here, the rectangular coordinates are used to enable us to prove the properties of the rich geometry of a quadrangle u
Externí odkaz:
https://doaj.org/article/5afdb7a2af6b43eeac60fd52a1152943
Autor:
Ema Jurkin
Publikováno v:
Mathematics, Vol 12, Iss 4, p 618 (2024)
Any triangle in an isotropic plane has a circumcircle u and incircle i. It turns out that there are infinitely many triangles with the same circumcircle u and incircle i. This one-parameter family of triangles is called a poristic system of triangles
Externí odkaz:
https://doaj.org/article/9a5468488a5e4e4a8e6810656a4f1c38
Autor:
Ema Jurkin, Marija Šimić Horvath
Publikováno v:
Mathematics, Vol 11, Iss 7, p 1562 (2023)
The notion of the Gergonne point of a triangle in the Euclidean plane is very well known, and the study of them in the isotropic setting has already appeared earlier. In this paper, we give two generalizations of the Gergonne point of a triangle in t
Externí odkaz:
https://doaj.org/article/c591ff86dd064ac7910eb1c2ec03d3d8
Autor:
Sonja Gorjanc, Ema Jurkin
Publikováno v:
Filomat. 37:1-11
In this paper we define q-spherical surfaces as the surfaces that contain the absolute conic of the Euclidean space as a q?fold curve. Particular attention is paid to the surfaces with singular points of the highest order. Two classes of such surface
Publikováno v:
KoG. :62-78
A complete quadrilateral in the Euclidean plane is studied. The geometry of such quadrilateral is almost as rich as the geometry of a triangle, so there are lot of associated points, lines and conics. Hereby, the study was performed in the rectangula
Autor:
Ema Jurkin
Publikováno v:
Rad Hrvatske akademije znanosti i umjetnosti. Matematičke znanosti
Issue 551=26
Issue 551=26
In this paper we consider a triangle pencil in an isotropic plane consisting of those triangles that have two fixed vertices, while the third vertex is moving along a line. We study the curves of centroids, Gergonne points, symmedian points, Brocard
Publikováno v:
Acta mathematica Spalatensia. Series didactica
Volume 3
Issue 3
Volume 3
Issue 3
U radu se proučava elementarna geometrija izotropne ravnine. Definira se metrika te se proučavaju metričke relacije u trokutu. Dokazuju se teoremi o obodnom kutu, te o ortičkom i tangencijalnom trokutu vezani za trokut i kružnicu te se dobiveni
Publikováno v:
Mathematica Pannonica.
The authors have studied the curvature of the focal conic in the isotropic plane and the form of the circle of curvature at its points has been obtained. Hereby, we discuss several properties of such circles of curvature at the points of a parabola i
Publikováno v:
Glasnik matematički
Volume 56
Issue 1
Volume 56
Issue 1
In this paper we study the properties of a parabola in an isotropic plane and compare the results obtained with their Euclidean analogues.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::889d283ee36ee8c24dacf6ace34885c9
https://urn.nsk.hr/urn:nbn:hr:169:851488
https://urn.nsk.hr/urn:nbn:hr:169:851488