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the angle CYX. At the point of intersection of DX with CY the point E will now form the centre of the required circle as EX and EY have equal angles and are, therefore, also equal.

Where three equal tangential circles have to be inscribed within two equal arcs as in a trefoil to a pointed arch (344:3), an equilateral triangle ABC is first drawn, and three circles with radii equal to half the length of the sides are described with centres A, B, C. A horizontal line is then drawn tangential to the base circles and where the bisectors of the angles BAC, BCA intersect this line will lie the points X, Y which are the centres of the arcs. A method of inscribing any number of equal circles within a given circle is shown in 344:4. First divide the

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