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HandWiki. Orthodiagonal Quadrilateral. Encyclopedia. Available online: https://encyclopedia.pub/entry/29997 (accessed on 22 September 2026).
HandWiki. Orthodiagonal Quadrilateral. Encyclopedia. Available at: https://encyclopedia.pub/entry/29997. Accessed September 22, 2026.
HandWiki. "Orthodiagonal Quadrilateral" Encyclopedia, https://encyclopedia.pub/entry/29997 (accessed September 22, 2026).
HandWiki. (2022, October 19). Orthodiagonal Quadrilateral. In Encyclopedia. https://encyclopedia.pub/entry/29997
HandWiki. "Orthodiagonal Quadrilateral." Encyclopedia. Web. 19 October, 2022.
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In Euclidean geometry, an orthodiagonal quadrilateral is a quadrilateral in which the diagonals cross at right angles. In other words, it is a four-sided figure in which the line segments between non-adjacent vertices are orthogonal (perpendicular) to each other.
quadrilateral
orthodiagonal
line segments
References
- Josefsson, Martin (2010), "Calculations concerning the tangent lengths and tangency chords of a tangential quadrilateral", Forum Geometricorum 10: 119–130, http://forumgeom.fau.edu/FG2010volume10/FG201013.pdf .
- Altshiller-Court, N. (2007), College Geometry, Dover Publications . Republication of second edition, 1952, Barnes & Noble, pp. 136-138.
- Mitchell, Douglas, W. (2009), "The area of a quadrilateral", The Mathematical Gazette 93 (July): 306–309 .
- Ismailescu, Dan; Vojdany, Adam (2009), "Class preserving dissections of convex quadrilaterals", Forum Geometricorum 9: 195–211, http://forumgeom.fau.edu/FG2009volume9/FG200919.pdf .
- Josefsson, Martin (2012), "Characterizations of Orthodiagonal Quadrilaterals", Forum Geometricorum 12: 13–25, http://forumgeom.fau.edu/FG2012volume12/FG201202.pdf .
- Mammana, Maria Flavia; Micale, Biagio; Pennisi, Mario (2011), "The Droz-Farny Circles of a Convex Quadrilateral", Forum Geometricorum 11: 109–119, http://forumgeom.fau.edu/FG2011volume11/FG201111.pdf .
- Harries, J. (2002), "Area of a quadrilateral", The Mathematical Gazette 86 (July): 310–311
- David, Fraivert (2017), "Properties of a Pascal points circle in a quadrilateral with perpendicular diagonals", Forum Geometricorum 17: 509–526, http://forumgeom.fau.edu/FG2017volume17/FG201748.pdf .
- Challenging Problems in Geometry (second ed.), Dover Publications, 1996, pp. 104–105, #4–23 .
- Josefsson, Martin (2016), "Properties of Pythagorean quadrilaterals", The Mathematical Gazette 100 (July): 213–224 .
- David, Fraivert (2019), "A Set of Rectangles Inscribed in an Orthodiagonal Quadrilateral and Defined by Pascal-Points Circles", Journal for Geometry and Graphics 23: 5–27, http://www.heldermann.de/JGG/JGG23/JGG231/jgg23002.htm .
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