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Mathematics in English

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European section Oral examination

Mathematics in English

1 Document

From A treatise on Elementary Trigonometry by John Casey, Chapter I 1. The numerical measure of any quantity, such as an angle, a line, etc., is the ratio it bears to a certain standard quantity of the same kind as itself, called the unit. Thus, the numerical value of an angle is its ratio to the angular unit. The numerical value of a line is the number of linear units (such as feet, etc.), which it contains.

Mathematics are occupied with quantities, that is, with things that can be measured ; and each branch deals with a special kind. Thus, Trigonometry primarily treats of calculations concerning lines and angles, and, in order that these may become subjects of computationa, it is necessary to show how to measure them.

2. There are two methods of measuring angles : 1◦. The sexagesimal, which is used in practical applications, such as Astronomy, Navigation, etc. 2◦. The circular method, employed in Theoretical Trigonometry, and in the various branches of Analytical Mathematics.

2 Questions

1. What are the subject matters of Mathematics, according to the author ? 2. How are Mathematics divided ?

3. What is Trigonometry occupied with ?

4. What is meant with the numerical measure of any quantity ? 5. What is meant by the unit of any quantity ?

6. What is the unit of linear measure ?

7. How many methods of measuring angles are in use ?

8. Explain in a few words the circular method of measuring angles.

acalculation

Sujet 2004-01 Elementary trigonometry

1

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