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 34
of the circumscribedcircle on the side opposite to that angle. Let ABO be the given triangle. Through the vertices drawthree straight lines respectivelyparallel to the opposite sides soas to form the triangle DEF \then AFBC and ABGE are pa-rallelograms (by construction),therefore FA and AE are… … 6 EXERCISES ON EUCLID [9. EAG and AGC are together equal to two right angles, but EAG isa right angle, therefore AGC is also a right angle, or if a straightline be perpendicular to either of two parallel straight lines, it isalso perpendicular to the other. Hence the three perpendiculars to the…
Geometry
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