. Elements of geometry : containing books I to III. qual area l!K/ /-,so tliat G coincides with //, and GB fall; id ///.,then •/ OJB IIF. .. /; will coincide with B :and ?. arc BlT(7=arc /•./,/*, .-. Cwill coincide witl , GO will coincide with • • BG coincides with Ell. and GC with ///?, BGC will coincide with and be equal to l Fill. :• l i:A/= lialf of iFIII\ III. 20. .-. lBA<= l EDF. I Ax. 7. Q. E. D. Bx. 1. If. in a circle, AI. CD \»- two arcs of given magni-nd I. BD be joined to meet in E, shew that the angleI .7; is invariable. _. The straight lines joining the
. Elements of geometry : containing books I to III. qual area l!K/ /-,so tliat G coincides with //, and GB fall; id ///.,then •/ OJB IIF. .. /; will coincide with B :and ?. arc BlT(7=arc /•./,/*, .-. Cwill coincide witl , GO will coincide with • • BG coincides with Ell. and GC with ///?, BGC will coincide with and be equal to l Fill. :• l i:A/= lialf of iFIII\ III. 20. .-. lBA<= l EDF. I Ax. 7. Q. E. D. Bx. 1. If. in a circle, AI. CD \»- two arcs of given magni-nd I. BD be joined to meet in E, shew that the angleI .7; is invariable. _. The straight lines joining the extremities of hir«la of two equal arcs of the same circle, towards the sameparallel to each other, Book III.] PROPOSITIOX XXVIII. 157 Proposition XXVIII. Theorem. In (quid circles, tl>> arcs, which are subtended bychords, must be equal, the greater tu the greater, and the Am to the Let ABC, DEF be equal circles, and BC, EF equal chords,subtending the major arcs BAC, EDF, and the minor arcs BGC, ? the other, each to each. K8 EUCLIDS ELEMENTS. [Book III. Propositi
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