Topic
Centre
About: Centre is a research topic. Over the lifetime, 3 publications have been published within this topic receiving 42 citations.
Papers
Patent•
7 May 1996TL;DR: A system and methods for wrapping a closed polygon around an object represented in a computer system without intersecting or clipping the object is described in this paper. But the method is not suitable for fitting text close to the object in a word processor or page layout system.
Abstract: A system and methods for wrapping a closed polygon around an object represented in a computer system, where the closed polygon is substantially adjacent to the object without intersecting or clipping the object. The system and methods are especially useful for fitting text close to the object in a word processor or page layout system. The method involves dividing the object into a number of horizontal threshold bands. Four points are sequentially positioned within each threshold band along the edge of the object in the band. The first and last points are located proximate to the object on the horizontal boundaries of the threshold band, but do not intersect the object. The middle points are located at the intersections of three defined lines. In this configuration, line segments between any of the four points do not and cannot intersect the object. The step of placing four points along the side of the object within a threshold band is repeated within each of the threshold bands along both sides of the object to form a set of polygon points. This set of polygon points is then sequentially connected to form the closed polygon that wraps around the object. Text can then be flowed around the object without any clipping of the object.
29 citations
TL;DR: In this paper, it is shown that if two centres of a triangle coincide then it is equilateral. But this is not the case for all centers of a given triangle, except for the seven most natural centres.
Abstract: The circumcentre E of a triangle ABC is defined, as in figure 1, by the two relations EA = EB EB = EC The other centres (such as the incentre, the centroid, etc.) can be defined by two similar relations. This note is an elaboration on the simple fact that if two centres of a triangle coincide then it is equilateral. We take a certain centre of a given triangle and investigate what can be deduced from the assumption that it satisfies one of the two defining relations of another centre. This is done for each pair of, what one may think of as, the seven most natural centres.
14 citations
TL;DR: In this paper, the mass centers belonging to the force-free motions of a rigid particle system of the elliptic plane are defined and the elementary geometrical connection between the mass centres and the gravity center of any triangle on the elliptical plane is examined.
Abstract: In this article the mass centres belonging to the force-free motions of a rigid particle system of the elliptic plane are defined. We examine the elementary geometrical connection between the mass centres and the gravity centre of any triangle on the elliptic plane. We search for those lines of an elliptic triangle that can be considered as the dual notions of the gravity centre, the centre of the incircle and the mass centre.
1 citations
Related Topics (5)
Performance Metrics
| Year | Papers |
|---|---|
| 2001 | 1 |
| 1996 | 1 |
| 1992 | 1 |