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 73
o of thesides of the parallelogram given in species, therefore the inscribedparallelogram EK is of the given species. KB. Because GK\% parallel to BC, therefore (I. 29) the tri-angles AGE and ABD, and AGK and ABC are equiangular, andtherefore (YI. 4) GH : HA :: BD : DA, or alternately, GH : BD ::… … 72.] AND IN MODERN GEOMETRY. 45 therefore or alternately, Similarly, therefore or alternately, GH : BD :: GK : BC, GH : GK :: BD : BGy as assumed above. HK : DC :: HA : ^i>;£# : BD :: //Z : Z)C,GH : iMT :: £Z) : DC. 72. TAe circfe through the feet of the perpendiculars of atriangle bisects the…
Geometry
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