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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 33

An illustration from Exercises on Euclid and in modern geometry for the use of schools, private students, and junior university students, 1881, leaf 33 — and EC are equal, therefore BOC is one-third of thewhole triangle ABC; and in the same way it is shewn that ifAO be drawn, the triangles AOB and AOC are each one-third ofthe triangle ABC. Def. I shall often call the straight lines drawn from theangles of a triangle to bisect the opposite sides… … Let ABC be the given triangle, D, E, F the middle points ofits sides. Draw FX, FY perpen-dicular to AB and AG respectively.These lines must meet in a point 0 ;for draw FF, then since the anglesAFX and AEY are right, the anglesFFX and FEY are together less thantwo right angles, and therefore FXand…

Geometry

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