Miejsce geometryczne






okrąg Apoloniusza


Miejsce geometryczne – zbiór wszystkich punktów spełniających zadany warunek.



Przykłady |




Kula/Koło 

Zbiór punktów odległych nie więcej niż o zadaną odległość (promień) od danego punktu (środka).


Sfera/Okrąg 

Zbiór punktów odległych od danego punktu (środka) o zadaną odległość (promień).

Okrąg 

Zbiór punktów, których stosunek odległości od dwóch punktów jest stały i różny od 1 (tzw. okrąg Apoloniusza).


Dwusieczna kąta 

Zbiór punktów równo odległych od ramion kąta, należących do tego kąta.


Symetralna odcinka 

Zbiór punktów równo odległych od końców odcinka.


Elipsa 

Zbiór punktów, których suma odległości od danych dwóch punktów (ognisk) jest stała.




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