Is There a Mistake in the Hyperbolic Paraboloid Curve Demonstration?

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SUMMARY

The forum discussion centers on the hyperbolic paraboloid curve demonstration, specifically addressing the observation that two curves appear nearly identical despite differing equations. The participant highlights the significance of the condition c < 0 in the demonstration, indicating a critical understanding of the mathematical implications involved. This suggests that the visual similarity does not equate to mathematical equivalence, prompting further examination of the underlying equations.

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  • Understanding of hyperbolic functions and their properties
  • Familiarity with quadratic equations and their graphical representations
  • Basic knowledge of mathematical conditions, specifically the implications of c < 0
  • Experience with curve sketching and analysis in mathematics
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  • Research the properties of hyperbolic paraboloids in advanced geometry
  • Explore the implications of varying coefficients in quadratic equations
  • Study graphical analysis techniques for comparing mathematical curves
  • Learn about the significance of conditions in mathematical demonstrations
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Mathematicians, educators, and students interested in advanced geometry, particularly those analyzing curve properties and mathematical demonstrations.

mohamed el teir
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upload_2015-10-23_6-12-27.png

then look at :
upload_2015-10-23_6-13-12.png

the 2 curves are nearly the same while the equations are not, is there anything wrong ?
 

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i just saw that it demonstrates c < 0, i understood now
 

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