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The apex and base of a square pyramid

In geometry, an apex ( pl.: apices) is the vertex which is in some sense the "highest" of the figure to which it belongs. The term is typically used to refer to the vertex opposite from some " base". The word is derived from the Latin for 'summit, peak, tip, top, extreme end'. The term apex may used in different contexts:

  • In an isosceles triangle, the apex is the vertex where the two sides of equal length meet, opposite the unequal third side. [1]
  • In a pyramid or cone, the apex is the vertex at the "top" (opposite the base). In a pyramid, the vertex is the point that is part of all the lateral faces, or where all the lateral edges meet. [2]

References

  1. ^ Gottschau, Marinus; Haverkort, Herman; Matzke, Kilian (2018). "Reptilings and space-filling curves for acute triangles". Discrete & Computational Geometry. 60 (1): 170–199. arXiv: 1603.01382. doi: 10.1007/s00454-017-9953-0. S2CID  14477196.
  2. ^ Jacobs, Harold R. (2003). Geometry: Seeing, Doing, Understanding (Third ed.). New York City: W. H. Freeman and Company. pp. 647, 655. ISBN  978-0-7167-4361-3.