Text-book of Euclid's elements for the use of schools : books I - VI and XI (1900)
Hall, H. S. (Henry Sinclair), 1848-1934, Stevens, F. H. (Frederick Haller), 1853-1933 · MacMillan : London · leaf 398
consequents any equimultiples havebeen taken, namely the l EHR and the arc ER :and since it has been proved that the L BGL is greater than,equal to, or less than the l. EHR, according as BL is greaterthan, equal to, or less than ER ; .•. the four original magnitudes are proportionals ; Y.Def.b.that… … (iii) Join BC, CK; and in the arcs BC, CK take anypoints X, O. Join BX, XC, CO, OK.Then in the As BGC, CGK,| BG - CG, Because \ GC = GK, [and the L BGC = the L CGK ; .-. BC-CK;and the A BGC = the A CGK.And because the arc BC = the arc CK,.*. the remaining arc BAC = the remaining arc CAK : .*. the l…
Geometry · Mathematics
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