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 104
gle PAO is right, q.e.d. 111. If a quadrilateral be inscribed in a circle and thefigure completed, the square on the third diagonal is equal tothe sum of the squares on the two tangents from its extremities,the tangents from the middle point of the third diagonal areeach equal to half the diagonal,… … Draw the tangents EG, FH and KL, and join the points ofcontact with 0. From C draw CJV making the angle CNF equalto ABC (see 104). Therefore CBFN is circumscribable by acircle (III. 22). Because the angles ABC and EDC are equal 76 EXERCISES ON EUCLID [112. (III. 22), therefore the angles EDC and…
Geometry
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