generatriz
/xeneɾatɾiθ/from spelling rules
The English phrase 'slant height' is translated into Spanish as generatriz.
In geometry, generatriz refers to the line segment that, when rotated around an axis, generates the surface of a cone or cylinder. This corresponds to the distance from the apex of a cone to any point on the edge of its base.
How does it change in a sentence?
generatriz is a feminine noun. Its plural form is generatrices.
How do you pronounce it?
/xeneɾatɾiθ/
Did you know?
- Because generatriz literally means 'that which generates', Spanish treats the line as an active agent creating the volume, rather than just a static measurement of distance.
- In Spanish, the concept of a generatriz applies not only to cones but also to cylinders, where it represents the parallel lines that create the curved surface.
- The word generatriz shares the same root as the English word 'generate'. Both derive from the Latin 'generare', meaning 'to produce' or 'to beget'.
Examples in context
- Calcula la medida de la generatriz del cono.Calculate the measure of the slant height of the cone.
- La generatriz es necesaria para hallar el área lateral.The slant height is necessary to find the lateral area.
- Necesito conocer la generatriz para resolver este problema.I need to know the slant height to solve this problem.
Example conversation
Mateo and Sofía are studying geometry together.
- MateoSofía, ¿cómo calculamos la generatriz?Sofía, how do we calculate the slant height?
- SofíaPuedes usar el teorema de Pitágoras, Mateo.You can use the Pythagorean theorem, Mateo.
- MateoEntonces la generatriz es la hipotenusa.So the slant height is the hypotenuse.
- SofíaExactamente, así es como se hace.Exactly, that is how it is done.
Sources
- IPA marked “from spelling rules” is derived from standard Spanish spelling, where Wiktionary gives none.
