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 71
R, MN parallel to GE. Then(62) LN is obviously equal to the rhombus GK, and it is inscribedin the given triangle and of the given species. Therefore LN isthe required rhombus. 42 EXERCISES ON EUCLID [67. 67. To escribe a square to a right-angled triangle, thesides of the triangle being produced… … BA indefinitely through A, BC through C. Draw CD bisectingthe angle A CF and meeting BA in D. Draw DE and DF respec-tively perpendicular to GE and BF. Then EF is the requiredsquare. Because DFC is a right angle and DCF half a rightangle, therefore FDG is half a right angle, and therefore DF andFG…
Geometry
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