Vol.2, No 4, 2002
pp. 291-294
UDC 514.144.1
GEOMETRY OF STRAIGHT LINES PENCILS
Milan Janić, Dejan Tanikić
Technical Faculty of Bor
Vojske Jugoslavije 12, 19210 Bor, Serbia and
Montenegro
Abstract. This paper considers a pencil of
straight lines in the Euclidean plane as well as the same pencil
of straight lines in the projective plane where the projective geometry
model Mn is defined with its points
forming the sets of (n-1) collinear points, whose supporting straight
lines belong to the considered pencil of straight lines.
Key words: (n-1) collinear points, pencil of
straight lines, F planes, AF planes
GEOMETRIJA PRAMENA PRAVIH
U radu je posmatran pramen pravih u Euklidskoj, a
zatim u projektivnoj ravni u kome je definisan model projektivne geometrije
Mn čije su tačke skupovi kolinearnih (n-1)-torki
čije prave-nosači pripadaju razmatranom pramenu.