Geometric figure made of 4 points connected by 6 lines
A complete quadrangle (at left) and a complete quadrilateral (at right).
In mathematics, specifically in incidence geometry and especially in projective geometry, a complete quadrangle is a system of geometric objects consisting of any four points in a plane, no three of which are on a common line, and of the six lines connecting the six pairs of points. Dually, a complete quadrilateral is a system of four lines, no three of which pass through the same point, and the six points of intersection of these lines. The complete quadrangle was called a tetrastigm by Lachlan (1893), and the complete quadrilateral was called a tetragram; those terms are occasionally still used.
and 22 Related for: Complete quadrangle information
specifically in incidence geometry and especially in projective geometry, a completequadrangle is a system of geometric objects consisting of any four points in...
through the concept of a completequadrangle such as KLMN in the above diagram. Based on four points, the completequadrangle has pairs of opposite sides...
Look up quadrangle or quadrangular in Wiktionary, the free dictionary. Quadrangle or The Quadrangle may refer to: Quadrangle (architecture), a courtyard...
satisfies Fano's axiom; in other words, the diagonal points of a completequadrangle are always collinear. "The" Fano plane of 7 points and lines is "a"...
lines in a plane always intersect. Thus, given four points forming a completequadrangle, the lines connecting the points cross in an additional three diagonal...
which preserve the completequadrangle configuration. An harmonic quadruple of points on a line occurs when there is a completequadrangle two of whose diagonal...
Construction on the quadrangle began in 1854, it had four sides by 1926, and was completed in 1966 after several stages of development. The Quadrangle comprises...
removed. Completequadrangle Perpendicular bisector construction of a quadrilateral Saccheri quadrilateral Types of mesh § Quadrilateral Quadrangle (geography)...
The California Quadrangle, California Building, and California Tower are historic structures located in Balboa Park in San Diego, California. They were...
tangential quadrilateral, then its incenter also lies on this line. Completequadrangle Newton's theorem (quadrilateral) Newton–Gauss line Alsina, Claudi;...
following year. Jones succeeds in showing how Pappus manipulated the completequadrangle, used the relation of projective harmonic conjugates, and displayed...
long bone that form its boundaries leave a space in the shape of a completequadrangle. The quadrangular space is also known as the quadrilateral space...
side is Christ Church Library, whose north façade completes the four sides of Peckwater Quadrangle. On the east side is Canterbury Gate with access to...
The Great Quadrangle, more popularly known as Tom Quad, is one of the quadrangles of Christ Church, Oxford, England. It is the largest college quad in...
In January 2012, India announced the four-lane GQ highway network as complete. India's government had initially estimated that the Golden Quadrilateral...
characteristic include Fano's axiom; The three diagonal points of a completequadrangle are never collinear. A subspace of the projective space is a subset...
scheme is called complete if the map to a point is proper 3. A completequadrangle is 4 points and the 6 lines joining pairs 4. A complete quadrilateral...
The Humanities Quadrangle (HQ), originally the Hall of Graduate Studies (HGS), is an academic quadrangle at Yale University in New Haven, Connecticut...
The Memorial Quadrangle is a residential quadrangle at Yale University in New Haven, Connecticut. Commissioned in 1917 to supply much-needed student housing...
Scognamillo swam from New York's Sturgeon Point to Ontario's Crystal Beach and completed the 11.9-mile (19.2-km) swim in five hours, 40 minutes and 35 seconds...
The Princeton Quadrangle Club, often abbreviated to "Quad", is one of the eleven eating clubs at Princeton University that remain open. Located at 33 Prospect...
Global Information