Conic Section Pencil Given by two Double Points

Prikazan je algoritam za određivanje koeficijenata u jednadžbi pramena konika kad je pramen zadan s četiri točke od kojih su dvije dvostruke. Da bi se moglo raditi s neizmjerno dalekim točkama uvedene su homogene koordinate. Postupak je ilustriran s nekoliko primjera.The algorithm is presented for the determination of coefficients in the equation of conic section pencils when the pencil is given by four base points two of which are double points. In order to work with the points in infinity, the homogeneous coordinates are introduced. The approach is illustrated by several examples