12.07.2015 Views

Katedra matematiky - Katolícka univerzita v Ružomberku

Katedra matematiky - Katolícka univerzita v Ružomberku

Katedra matematiky - Katolícka univerzita v Ružomberku

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On J-conic sections 87Preparing a computer drawing of the J-ellipse∣ x−y ∣∣∣ ∣∣√ +|x|2∣ = 4+√ 2The computer draws on the basis of this equation that figure which can seeon Figure 4. The drawing of the computer little bit differs what we have gotfrom our analysis. (We can see on this figure bisectors of Γ ′ 1 and Γ 2, whichare between Γ 1 and Γ ′ 1 and the images of theirs reflected about the point ofintersection of Γ 1 and Γ 2 . But among of these segments, only the e passingthrough the A.) This example shows the fact that the use of computers isnot the aim, but only an instrument of the teaching.Figure 4. The drawing of J-ellipse according to the computerAnother examplesThen we could discussed those cases, when both curves are circles or Γ 1 isa circle and Γ 2 is a line.

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