The phrase "within the boundary of" is correct and usable in written English.
You can use it when you want to refer to something or someone being within or limited to a certain boundary. For example, "The store's hours of operation are within the boundary of 10 am to 9 pm."
"To be a Cockney, you had to live within the boundary of certain church bells," Colaianni said.
("Why, if they have suspicions, don't they question people within the boundary of the law?" he once asked).
South Korea and Japan are within the boundary of short- and medium-range missiles or aircraft delivery.
The situation is even harder for Jimbu and Kanchi Sherpa in Thadepati Pass, as their business lies within the boundary of Langtang national park.
"As a result of going through the process once before, we know we can't contain all the development within the boundary of Cardiff.
"The bottom line is most people are far from being within the boundary of comfort" in any economy-class seat on an airplane, he said.
He found that of the 100 clusters known at the time, one-third lay within the boundary of the constellation Sagittarius.
But since it technically took effect in September, that reaffirmation has been roundly ignored by nearly all of the roughly four dozen taverns and stores selling liquor that lie within the boundary of the 1.2 million-acre Yakama reservation.
He felt this was someone who absolutely got it and who was imaginative and was thinking all the time, within the boundary of the UN mandate, about how to shove things forward.
Others, such as Severn Trent Water and South Staffs Water, prefer to fit their meters outside, within a chamber on the pavement outside your home or at the main stop just within the boundary of your property.
"Why, if they have suspicions, don't they question people within the boundary of the law?" Rendition was originally carried out on a limited basis, but after September 11th, when President Bush declared a global war on terrorism, the program expanded beyond recognition becoming, according to a former C.I.A. official, "an abomination".
