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{{Short description|3D geometric shape}} ...]] to {{sfrac|3 − ''φ''|2}} ≈ 0.691 of its original value, and the 30 edge centers are left unchanged, then a rhombic hexecontahedron is formed. (The circumra ...

...7000577_On_Centers_and_Central_Lines_of_Triangles_in_the_Elliptic_Plane On Centers and Central Lines of Triangles in the Elliptic Plane] [[Category:Eponymous geometric shapes]] ...

{{Short description|Geometric concept}} ...pright=1.25|When the outer Soddy circle has positive curvature, both Soddy centers are [[equal detour point]]s.]] ...

{{short description|Geometric configuration of 12 points and 6 lines}} ...r different ways, and the other four points of the configuration are their centers of perspectivity. These two tetrahedra together with the tetrahedron of the ...

*Special points on the curve which are not triangle centers *Geometric properties of the curve ...

...sely the points of its Euler line. In other words, the only "well-behaved" centers which satisfy Archimedes' Lemma are the affine combinations of the circumce [[Category:Geometric centers]] ...

{{short description|Distance between the centers of externally tangent objects}} ...n their centers when they are externally [[tangent]]. The objects may be [[geometric shape]]s or [[Particle|physical particles]] with well-defined boundaries. ...

| title = Semi-online maintenance of geometric optima and measures | title = Facility location and the geometric minimum-diameter spanning tree ...

* The midpoint of the [[Arc (geometric)|arc]] <math>BC</math> that contains point <math>A</math> is on the line <m ...] lists this point as X(56).<ref>{{Cite web|title=ENCYCLOPEDIA OF TRIANGLE CENTERS|url=https://faculty.evansville.edu/ck6/encyclopedia/etc.html|access-date=20 ...

{{Short description|Geometric property of certain lines with respect to a given triangle}} .../ref><ref name=TCCT>{{cite book|last=Kimberling|first=Clark|title=Triangle Centers and Central Triangles|publisher=Utilitas Mathematica Publishing, Inc.|locat ...

...ter center. Even if coincidentally all nodes declare themselves as cluster centers, the conflict situation will be resolved by one of the other rules.<syntaxh ...situations where nodes with leveraged weight values, which are not cluster centers, attract surrounding nodes with lower weights. This behavior can lead to fr ...

...separator''' is a line (or another shape) that partitions a collection of geometric shapes into two subsets, such that proportion of shapes in each subset is b When a geometric separator exists, it can be used for building divide-and-conquer algorithms ...

...lie completely inside or outside of the larger circle. In these cases, the centers of Steiner-chain circles lie on an [[ellipse]] or a [[hyperbola]], respecti ...ten discussed in the context of the [[arbelos]] (''shoemaker's knife''), a geometric figure made from three circles. There is no general name for a sequence of ...

...r of mass to be kept at constant height, the distance between the sectors' centers should be equal to <math>\sqrt{2}</math>'''r'''.<ref>{{cite journal |last1= [[Category:Geometric shapes]] ...

...]], [[chord (music)|chords]], and [[key (music)|keys]] in the same [[space|geometric space]]. It was proposed in 2000 by [[Elaine Chew]] in her MIT doctoral the ...irst = Elaine | date = 2008 | title = Out of the Grid and Into the Spiral: Geometric Interpretations of and Comparisons with the Spiral-Array Model | url = http ...

...quadrant ''Q'' = {(''x,y''): ''x'' > 0, ''y'' > 0}. For such a point the [[geometric mean]] <math>v = \sqrt {x y} </math> and the [[hyperbolic angle]] <math>u = From [[Gyrovector space#Triangle centers]] ...

...lution]] of 2-EPT densities using state space techniques. Much of the work centers on the ability to decompose the rational characteristic function into the s ...

...world affairs. In mathematics Odom was particularly interested in various geometric shapes and the golden ratio. He discovered the occurrence of the golden rat The second occurrence is in a cube. If one connects the centers A and B of any two cube adjacent faces and extends the connecting line segm ...

...[[centrode]]. The points in the fixed plane corresponding to these instant centers form the fixed centrode. ...nt center of rotation may be determined. The result is a series of instant centers of rotation that together result in a curve. The appearance of the curve de ...

...h>C</math> (as in the figure at right) is tangent to the tangents from the centers of the small semicircles to the other small semicircle. [[Category:Geometric shapes]] ...