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KRUG – VAŢNE PRAVE I TEOREME

CIRCLE – IMPORTANT LINES AND THEOREMS

Autor: PAVLE PETROVIĆ, VII-1, Osnovna škola ‟‟Mihailo Petrović Alas‟‟, Beograd

Mentor: VIOLETA KOMNENOVIĆ, profesor matematike, ETŠ ‟‟Nikola Tesla‟‟,

Beograd

REZIME

U radu je obraĊen pojam kruga (sa kruţnicom) sa prikazom osnovnih definicija i pojmova.

Opisuje se i odnos dva osnovna geometrijska pojma – taĉke i prave – prema krugu i

kruţnici. Razmatrane su vaţne prave kruga, tangenta i seĉica. Dat je osvrt n tangentnu duţ

kao element tangente i tetivu kao element seĉice. Naĉinjen je izbor teorema koje

razmatraju vaţne osobine tangente i seĉice, uz dokaze koji su prilagoĊeni za osnovnu
školu. U poglavlju “diskusija” date su smernice za dalji rad.

Kljuĉne reĉi: krug, kruţnica, prava, duţ, teorema

SUMMARY

In this paper the term of the circle (with the circle line) is processed and some principal

definitions and terms are presented. Also the relationship between the circle and the two

main geometrical terms – the point and the line – is described. The important lines of the

circle areconsidered, the tangent and the secant. The terms of tangential and secant

segments is also introduced. Several theorems have been chosen that comprise the

important properties of tangent and secant, and their proofs have been adopted for primary

school level. In the “discussion” section direction is given for further research and studies.

Keywords: circle, circle line, straight line, line segment, theorem