Transform the following sentences into Participle I constructions. Model:
The sign that stands for an angle …
The sign standing for an angle …
1. The line passing through these two points is a diameter.
2. If you expressing these statements in mathematical terms, you obtain the following equations.
3. A decimal fraction is a fraction which has a denominator of 10, 100, 1000 or
some simple multiple of 10.
4. The mathematical language, which codifies the present day science so
clearly, has a long history of development.
5. When we amalgamate several relationships, we express the resulting relation
in terms of a formula.
6. If we try to do without mathematics, we lose a powerful tool for reshaping
information.
7. Calculus, which is the main branch of modern mathematics, operates with
the rules of logical arguments.
8. When we use mathematical language, we avoid vagueness and unwanted extra meanings of our statements.
9. When scientists apply mathematics, they codify their science more clearly
and objectively.
10.The person who looks at a mathematical formula and complains of its abstractness, dryness and uselessness fails to grasp its true value.
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11.The book is useful reading for students who seek an introductory overview to
mathematics, its utility and beauty.
12. Math is a living plant which flourishes and fades with the rise and fall of
civilizations, respectively

We all need exercise. This is true for young people (in their teens) as well as for adults. Even if you don't plan make sports your main occupation. This is my opinion and I feellike it is true.

As long as I can remember myself I was always keen on tennis. I love this sport with its old noble traditions, though myself never dreamed of becoming anything more than an amateur.
I watch closely all tennis competitions and championships.There are a lot of them, but my favourite championship is Wimbledon because old tennis traditions remains there as they are. Some of the most well-known Wimbledon champions are: John McEnroe, Boris Becker, Steffi Graf, Monica Seles. My dream is to get a chance to watch at least one of them playing.

And meantime I play tennis with my friends. It is also a great opportunity to socialize with people who have similar interest (as any sport I suppose).

Нам всем нужны тренировки. Это так же верно для молодежи, как и для старших. Даже если вы не собираетесь выбирать спорт в качестве профессии. Это мое мнение, и оно мне кажется правильным.

Сколько я себя помню, мне всегда ужасно нравился теннис. Я люблю этот спорт с его старыми благородными традициями, хотя я никогда не мечтал быть чем-то больше любителя.

Я внимательно слежу за соревнованиями и чемпионатами по теннису. Их существует очень много, но мой любимый - Уимблдон, потому что в нем старые теннисные традиции сохраняются такими, какими были. Некоторые из самых известных победителей Уимблдона: Джон Маккенрой, Борис Беккер, Штеффи Граф, Моника Селеш. Моя мечта - увидеть хотя бы одного из них.

А пока я играю в теннис со своими друзьями. Это еще и прекрасная возможность пообщаться с людьми со схожими интересами (как и любой другой спорт, я полагаю).

We all need exercise. This is true for young people (in their teens) as well as for adults. Even if you don't plan make sports your main occupation. This is my opinion and I feel like it is true.As long as I can remember myself I was always keen on basketball. I love this sport with its old noble traditions, though myself never dreamed of becoming anything more than an amateur.
I watch closely all basketball competitions and championships.
And meantime I play basketball with my friends. It is also a great opportunity to socialize with people who have similar interest (as any sport I suppose).