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Exercises on Euclid and in modern geometry for the use of schools, private students, and junior university students (1881)

McDowell, James L · Cambridge, Deighton, Bell, and Co. · leaf 64

An illustration from Exercises on Euclid and in modern geometry for the use of schools, private students, and junior university students, 1881, leaf 64
55.] AND IN MODERN GEOMETRY. 35 are together equal to two right angles; but the angle FA E isgiven, therefore the angle FOE or its equal HOC is known. Hencein the triangle BOG the base BG and the vertical angle BOG aregiven, and therefore (53) the locus of 0 is a segment upon BGcontaining an angle… … 55. The sum of one pair of opposite sides of a quad..lateral circumscribing a circle is equal to the sum of the otherpair, and the straight line which joins the middle points of thediagonals of the quadrilateral passes through the centre of thecircle. Let the quadrilateral ABGD circumscribe the…

Geometry

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