Results 221 to 230 of about 23,106 (262)
Some of the next articles are maybe not open access.
The Mathematical Gazette, 2007
Summary: There is a very easy way to produce the Euler line, using transformational arguments. Given a triangle \(ABC\), let \(A'B'C\) be the medial triangle, whose vertices are the midpoints of the sides. These two triangles are homothetic: they are similar and corresponding sides are parallel, and the centroid, \(G\), is their centre of similitude ...
Leversha, Gerry, Smith, G. C.
openaire +1 more source
Summary: There is a very easy way to produce the Euler line, using transformational arguments. Given a triangle \(ABC\), let \(A'B'C\) be the medial triangle, whose vertices are the midpoints of the sides. These two triangles are homothetic: they are similar and corresponding sides are parallel, and the centroid, \(G\), is their centre of similitude ...
Leversha, Gerry, Smith, G. C.
openaire +1 more source
Some triangle geometry of the triangle family
2011In this work we consider a one-parameter triangle family T. We prove that the set of the orthocenter, centroid, circumcenter, and some other sets of the triangle centers lie on different hyperbolae. Furthermore, it will be shown that the hyperbolae which are the sets of triangle centers that lie on the Euler lines of the triangle family T have a space ...
Halas, Helena, Sliepčević, Ana
openaire +2 more sources
Vectors and the geometry of a triangle
The Mathematical Gazette, 1985MacNab [1] has recently considered the Euler line of a triangle, and derived expressions for the position vectors of certain important points like the orthocentre, the circumcentre and the incentre. In this note I show how these results, and some other ones, can be derived by a more direct use of vector methods than MacNab employed. I believe that such
openaire +1 more source
Geometry of the Kasner Triangle
The American Mathematical Monthly, 1947(1947). Geometry of the Kasner Triangle. The American Mathematical Monthly: Vol. 54, No. 10P1, pp. 579-583.
openaire +1 more source
Triangles and crystals: On the geometry of qualitative research
Research in Nursing & Health, 1995AbstractTriangulation has become increasingly appealing to researchers in nursing as a device to grasp the complexity of human phenomena, operationalize the holistic elan of nursing, and to accommodate both qualitative and quantitative approaches to inquiry.
openaire +2 more sources
On the enumerative geometry of triangles
Mathematika, 1959A triangle , in the sense of Schubert [1], is an entity in the plane S 2 consisting of (a) an ordered triad of points ( P 1 , P 2 , P 3 ); (b) an ordered triad of lines ( l 1 , l 2 , l 3 ) connected with the points P i by the incidence relations P i ⊂ l j ( i ≠ j ); and (c) a three base-point net Φof conies with the P
openaire +1 more source
Enumerative geometry of triangles, I
Communications in Algebra, 1984Joel Roberts, Robert Speiser
openaire +1 more source
The Geometry of the Circular Horn Triangle
National Mathematics Magazine, 1944Kasner, Edward, Kalish, Aida
openaire +2 more sources
The median triangle theorem as an entrance to certain issues in higher-dimensional geometry
Mathematische Semesterberichte, 2021Mowaffaq Hajja +2 more
exaly