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  • ...the term is used, it refers to the definition of parallel in [[Euclidean]] geometry. ...t the Parallel Postulate did not follow from the other axioms of Euclidean geometry.
    2 KB (326 words) - 12:11, 21 May 2009
  • ...een a source of controversy for centuries, and is the basis of [[Euclidean geometry]]. ...ssing through that point parallel to the line. In Hilbert's Foundations of Geometry, the parallel postulate states ''In a plane there can be drawn through any
    2 KB (329 words) - 12:46, 20 November 2012
  • ...s the angle <math>ACB</math> in the spherical triangle <math>ABC</math> (a spherical triangle has great circle arcs as sides). ...ath>C</math> and <math>N</math> bisects the <math>\angle ACB</math> in the spherical triangle <math>ABC</math>
    6 KB (1,013 words) - 22:09, 21 November 2023
  • Consider two solid spherical balls, one centered at <math> \left(0, 0,\frac{21}{2}\right) </math> with r ==Solution 2 (minimal 3D geometry)==
    7 KB (1,046 words) - 11:42, 30 September 2023
  • == Solution 3 (Spherical Coordinates and Vectors) == In spherical coordinates <math>(\rho,\theta,\phi),</math> note that <math>\rho,\theta,</
    6 KB (984 words) - 22:39, 3 December 2021
  • That may be true for some areas of math. However, what about geometry, trigonometry, and calculus? And what is the definition of numbers? Now you ...math but not the whole thing. For example, the definition of geometry is ''Geometry is concerned with the properties and relations of points, lines, surfaces,
    35 KB (5,882 words) - 18:08, 28 June 2021
  • ...res, so he spat it out. EDIT EDIT EDIT EDIT: He spat it out as a perfectly spherical hairball. EDIT EDIT EDIT EDIT EDIT: Almighty Gmaas does not spit out hairb ...sseraj once spelled Almighty Gmaas as gmASS by accident in Introduction to Geometry (1532). sseraj’s life was never the same afterwards. EDIT: Almighty Gmaas
    85 KB (13,954 words) - 17:25, 22 March 2024
  • ...s are <math>3</math> cm and <math>6</math> cm. Into each cone is dropped a spherical marble of radius <math>1</math> cm, which sinks to the bottom and is comple == Video Solution by OmegaLearn (Similar Triangles, 3D Geometry - Cones) ==
    9 KB (1,503 words) - 15:09, 1 August 2023