In Europe and the Americas people who consider themselves vegetarians in general only avoid foods that are the direct result of an animal's death, such as meat.
This does not technically apply to eggs, which are produced by hens who are not killed and in theory may be unharmed in the process. Ovulation happens in healthy adult animals without interference. Eggs may therefore be considered vegetarian according to the Euro/American usage of the term.
As an aside, the UK Vegetarian Society will only approve products that contain eggs if the eggs are "free-range" because this is believed to provide a better quality of life for the animals.