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Ellipse

Ellipse. Hyperbola. Parabola. Ruđer Josip Bošković. “When I see faded monuments, erased letters which they bore, I think of what will happen with what I am doing!”. Optics. Became a professor of mathematics in Rome. Dubrovnik, hometown. Astronomy. One crater is named after Ruđer Bošković.

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Ellipse

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  1. Ellipse

  2. Hyperbola

  3. Parabola

  4. Ruđer Josip Bošković “When I see faded monuments, erased letters which they bore, I think of what will happen with what I am doing!”

  5. Optics Became a professor of mathematics in Rome Dubrovnik, hometown Astronomy One crater is named after Ruđer Bošković Atom theory Geodesy

  6. Conic sections By intersecting a cone with a plane we get all four curves.

  7. Papo-Bošković’s definition of conics • Papo introduces the terms focus and directrix • Bošković defined conics with e and Papo's curve descriptions (focus and directrix) • e [epsilon] • real number

  8. Directrix The ratio of the distance between the point and the focus, and the distance of a point from the line directrix is constant.

  9. Bošković’s definition of conics directrix

  10. Bošković’s definition of conics

  11. Bošković’s definition of conics

  12. Bošković’s definition of conics

  13. Bošković’s definition of conics • For e = 0 the curve is a circle • For e < 1 the curve is an ellipse • For e = 1 the curve is a parabola • For e > 1 the curve is a hyperbola • What if e = ∞?

  14. Thank you for listening! Petra Baček and Gayatri Čaklović XV. Gimnazija Zagreb, Croatia

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