BL ±rto AK; so that AB : BL = BL : BK. (V., 4.) Take B« = BL, and draw ae, ed, dc parallel to AE,ED, DC respectively. Then aBcde is the rectilineal figure required. For ABCDE and aBede are similar by construction,B being the centre of similitude (V., 1), and .-. ABCDE : aBcde = AB- : ^B,= AB- :… … M H Let ABCDE aud X be the two given rectilineal figures,It is required to describe a figure similar to ABCDEand equal to X. On AB describe the rectangle AM = ABCDE (H., 12)and to BM apply the rectangle BMNK = X (II., 13). On AK describe a seniicii-cle ALK, cutting BM in L:so that AB : BL = BL :…
Geometry · Geometry, Plane
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