Докажите, что отрезок АВ — геометрическое место точек С плоскости, для которых ОС = (1 - t)OA + OВ, где 0 ≤ t ≤ 1 (О — произвольная точка плоскости).

Central Park is a nice park in the centre of New york, the United States. It 
was founded in 1857. The park is not very large but it is rich in trees, green bushes, beautiful flowers and small lakes. Central park is famous for its outdoor activities.
People can run, jog, ride their bikes and roller skate on the numerous park's roads. There are many baseball fields and courts for tennis and volleyball. Central Park has two ice skating rinks. Children like walking in the park because it is full of amazing playgroungs. There is also a zoo with a penguin house and a polar bear pool in the park. Each summer, visitors can enjoy performances and music concerts in the park. Hundreds  of people visit Central Park every day.
1.Where is Central Park situated? - In New York.   
2. Is Central  park large?  - No, it isn't large.  
3. What is it famous for?  - For its outdoor activities.
4. Can people run, jog, ride their bikes and roller skate on the 
numerous park's roads?  - Yes, they can.
5. Why do children like walking in the park?  -  Because there are many playgrounds and a zoo.
6. When can visitors enjoy performances and music concerts in the park?
 - In summer.