Krivulje i plohe drugog reda ; Curves And Surfaces Of the Second Order

Tema ovoga završnoga rada su krivulje, odnosno plohe drugog reda promatrane s aspekta analitičke geometrije. Navedene su definicije krivulja drugog reda, tj. kružnice, elipse, parabole i hiperbole, te sfere, elipsoida, eliptičkog paraboloida, jednoplošnog i dvoplošnog hiperboloida. Svaka promatrana krivulja, odnosno ploha je grafički prikazana, dan je pregled osnovnih obilježja te je iskazana odgovarajuća jednadžba kojom se krivulja, odnosno ploha zadaje. ; The topic of this final thesis are curves and surfaces of the second order viewed from the aspect of analytical geometry. Definitions of some second-order curves, respectively surfaces are given, i.e. circles, ellipses, parabolas and hyperbolas, spheres, ellipsoids, elliptical paraboloids, one-sheeted and two-sheeted hyperboloids. Each observed curve or surface is graphically displayed and the corresponding equation is given. We will also show an overview of basic characteristics for each curve, respectively surface.