Quadrilaterals and Bretschneider’s formula

• Autores: Clara Eugenia Garza Hume, Maria C. Jorge, Arturo Olvera, Daniel Ness (ed. lit.), Nick Wasserman (ed. lit.), Benjamin Dickman (ed. lit.)
• Localización: Mathematics teacher, ISSN-e 2330-0582, ISSN 0025-5769, Vol. 111, Nº 4, 2018, págs. 310-314
• Idioma: inglés
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• Resumen

  • We talk about a formula deduced by Bretschneider in the mid-nineteenth century that not only allows the computation of areas of planar quadrilaterals, regular and irregular, but also provides a more thorough understanding of the geometry of such figures. We present one version of Bretschneider's formula and talk about its scope of application and what it can say about the possible shapes of quadrilaterals.