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

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