To view a specific star in the sky, does the telescope have to be at a certain place

Could a star be viewed from one side of earth and also be viewable from the opposite side of the earth?

Any telescope in any particular location can view exactly one half of the sky, from one horizon to the opposite horizon. A telescope located on the exact opposite side of the Earth can observe anything on _that_ half of the sky. Telescopes closer together can both view at least part of the sky, whatever is above their horizons in common. When I was in Australia a few months ago, I part of the sky was the same as I see from at home in Canada, but another part of the sky I can never see from Canada because it is below my horizon here. In Canada I can see the Big Dipper but not the Southern Cross. In Australia I can see the Southern Cross but not the Big Dipper. In both places I can see Orion, because its in a shared area of the sky.

Not at the same time. Possibly after allowing the Earth to rotate for several hours.

Positions of stars in the sky are measured similarly to positions on Earth. Where the Earth has latitude, the sky has declination, and where the Earth has longitude the sky has right ascension.

For a Northern Hemisphere observer, if you're at a latitude L, then stars with a declination of 90-L will be circumpolar, never rising or setting and visible every night. Conversely, stars with a declination of -90+L will never be visible. Stars in between will rise and set, and thus will be visible only at certain times of year since at other times of year they will be up during the daytime.

Well, for two points exactly opposite on Earth - they *could* possibly see the same star if it was on the horizon... For example, in Quito, Equador and for someone in... say, the Congo - the Polaris appears right on the horizon for both. Other than this special case, the answer is no - the bulk of the Earth would be in the way.

Draw a big circle and draw a stick man on it, then draw a line from the stickman's head to the circle and beyond, that's one horizon, and do the same to the other side. Now draw a stick man on the other side and draw it's horizons. There are areas of the sky which would be visible to both stick man.

No, not possible. You can only see 180 degrees of the sky at any one time. From the opposite side of the Earth, you can only see the opposite 180 degrees. Actually less, because you can't see star very close to the horizon.

Use your brain!!! How the hell are you going to see through the Earth?!?!!!

For the most part no but there has to be some that fit the bill for what your saying....somewhat.

Yes