J.N. Coldstream's A Protogeometric Nature Goddess from Knossos PDF

By J.N. Coldstream

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Extra info for A Protogeometric Nature Goddess from Knossos

Example text

The point D is joined to the centre 0 of the triangle and vertex B. Draw a plane through DB and DO. Will this plane pass through the midpoint of the side AC? 276. Given points A and B on one of the two intersecting planes a and P, and a point C on the other. Construct the lines of intersection of these planes and the plane y passing through the points A, B, C. 277. Given a straight line AB not contained in the plane P. Construct the point of intersection of this line and the plane P. 278. Given points A, B and C outside the plane P.

Determine the area of a circle inscribed in a sector whose radius is equal to R, and the are to a. 259. The sides of a parallelogram are equal to a and b (a < b), and the angle between them to a. Determine the area of the quadrilateral formed by the bisectors of the angles of the parallelogram. 260. Compute the area of the hatched portion of a circle (Fig. 19) whose radius is equal to 20 cm if the arcs AB and CD are equal to 15° and 75° respectively. Fig. 19 261. Drawn through the centre of symmetry of a rhombus are its altitudes which serve as diagonals of a rectangle.

The radii of two intersecting circles are equal to 68 cm and 156 cm, and the distance between their centres to 176 cm. Determine the length of the common chord. 216. The sides of a triangle are equal to 10 cm, 12 cm and 18 cm. Determine the area of the circle whose diame- ter is equal. to the medium altitude of the triangle. 217. The sides of a triangle are equal to 26 cm, 28 cm and 30 cm. A semi-circle is inscribed in the triangle so that its diameter lies on the greater side of the triangle. Compute the area bounded by the sides of the triangle and the semi-circle.

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A Protogeometric Nature Goddess from Knossos by J.N. Coldstream

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