Further Mathematics Support Programme

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Presentation transcript:

Further Mathematics Support Programme

Let Maths take you Further… Euclidian Algebra 2 Let Maths take you Further…

Euclidian Algebra & Calculation The Ancient Greeks were skilled mathematicians who devised interesting number and algebra problems which were to be solved using only a pencil, a straight edge and a pair of compasses. Numerical values were represented by straight lines of a given length.

If a certain line has a value of ‘1’ _____ then a line twice its length is ‘2’ __________ Lines of random (but fixed) length are used to represent unknown quantities e.g. a is _______ b is _____________

In the diagram below, a semi-circle is shown with centre o In the diagram below, a semi-circle is shown with centre o. Lengths of a, x and 1 are marked, with the diameter being a + 1 and x being the perpendicular height of the semi-circle a distance of 1 unit from the circumference. What is the unknown value ‘x’ in terms of a? o

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