ellipse hyperbola parabola “when i see faded monuments, erased letters which they bore, i think of...
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Ellipse
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Hyperbola
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Parabola
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“When I see faded monuments, erased letters which they bore, I think of what will happen with
what I am doing!”
Ruđer Josip Bošković
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Dubrovnik, hometown
One crater is named after Ruđer Bošković
Became a professor of mathematics in Rome
Optics
Astronomy
Atom theory Geodesy
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By intersecting a cone with a plane we get all four curves.
Conic sections
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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
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Directrix
.),(
),( 1 cdTd
FTd
The ratio of the distance between the point and the focus, and the distance of a point from the line directrix is constant.
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Bošković’s definition of conics
directrix
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Bošković’s definition of conics
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Bošković’s definition of conics
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Bošković’s definition of conics
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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 = ∞?
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Thank you for listening!
Petra Baček and Gayatri Čaklović
XV. Gimnazija
Zagreb, Croatia