509. [K. 8. a, 2. a.] <i>Points, Lines and Circles connected with the Complete Quadrilateral</i>.

Clawson, J. W.

doi:10.2307/3603503

Cited by 2 publications

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“…of the trilateral ABC , and then through centroids of other three trilaterals of the quadrilateral ABC D. A vertex of this parabola is the point ( 1 12 (4q − s 2 ), 1 3 s), and its axis has the equation y = 1 3 s, so the distance from the focus S of the quadrilateral ABC D to its median is equal to three halves of the distance from this focus to this parabola. This statement is from [5] and [6].…”

Section: On a Complete Quadrilateralmentioning

confidence: 99%

A Complete Quadrilateral in Rectangular Coordinates

2022

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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 rectangular coordinates, symmetrically on all four sides of the quadrilateral with four parameters a, b, c, d. In this paper we will study the properties of some points, lines and circles associated to the quadrilateral. All these properties are well known, but here they are all proved by the same method. During this process, still some new results have appeared.

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Section: On a Complete Quadrilateralmentioning

confidence: 99%

A Complete Quadrilateral in Rectangular Coordinates

2022

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A Complete Quadrilateral in Rectangular Coordinates II

Volenec,

Jurkin,

Šimić Horvath

2024

Kog (Online)

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Ovaj rad je nastavak proučavanja geometrije potpunog četverostrana u euklidskoj ravnini. Iznosimo neke poznate činjenice o potpunom četverostranu, ali ih ovdje dokazujemo jedinstvenom metodom koristeći pravokutne koordinate, simetrično s obzirom na četiri stranice četverostrana, odnosno četiri parametra a, b, c, d. Promatramo svojstva vezana za centralnu kružnicu, ortopolarnu kružnicu, Herveyevu kružnicu, Kantorovu točku i Plückerove točke. Tijekom ovog istraživanja dobili smo i neke nove rezultate.

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509. [K. 8. a, 2. a.] Points, Lines and Circles connected with the Complete Quadrilateral.

Cited by 2 publications

References 0 publications

A Complete Quadrilateral in Rectangular Coordinates

A Complete Quadrilateral in Rectangular Coordinates

A Complete Quadrilateral in Rectangular Coordinates II

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