The elements of Euclid for the use of schools and colleges : comprising the first two books and portions of the eleventh and twelfth books; with notes and exercises . Join DB, and describe the parallelogram FH equal tothe triangle ADB, and having the angle FKll equal to theangle E; [I. 42. and to the straight line GH apply the parallelogram GMequal to the triangle DBC, and having the angle GHMe<]ual to the angle £. ( The figure FKML shall be the parallelogram required. Because tlie angle E is equal to each of the angles FKH, GHM, [Construction. the angle FKH is equal to the angle GHM.
The elements of Euclid for the use of schools and colleges : comprising the first two books and portions of the eleventh and twelfth books; with notes and exercises . Join DB, and describe the parallelogram FH equal tothe triangle ADB, and having the angle FKll equal to theangle E; [I. 42. and to the straight line GH apply the parallelogram GMequal to the triangle DBC, and having the angle GHMe<]ual to the angle £. ( The figure FKML shall be the parallelogram required. Because tlie angle E is equal to each of the angles FKH, GHM, [Construction. the angle FKH is equal to the angle GHM. [Axiom 1. Add to each of these equals the angle KHG\therefore the angles FKH, KHG are equal to the anglesKHG,GHM. [AxUyml. But FA//, KHG aretogetherequaltotworightangle8;[ A ^re together equal fco two right angles. 48
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Keywords: ., bookcentury1800, booksubjectgeometry, booksubjectmathematicsgree
