Ball, W. W. Rouse (Walter William Rouse), 1850-1925 · London, Macmillan · leaf 70
de; hence, byEuc. VI. 1, £^ABG : A ABD = BO : BD, .-. AG^.AD^^BO.BD. . AG^ _AD^•• BO BD * See a note by 3T. Coccoz in UIllustration, Paris, Jan. 12, 1895. CH. Ill] GEOMETRICAL RECREATIONS 47 Hence, by Enc. ii. 13, AB^ + BG^- 2BC.BE^AB^-hBB^- 2BD, BEBG Bi) /. ^^BG-^BE^^ + BD- 2BE. . AB^ j.j.^AB- .… … Let ABG be a triangle. Complete the parallelogram ofwhich AB and BG are sides. Divide AB into n + 1 equalparts, and through the points so determined draw n linesparallel to BG. Similarly, divide BG into n + 1 equal parts,and through the points so determined draw n lines parallel toAB. The…
Mathematical recreations · Geometry · Astrology · Space and time · Matter · Magic squares
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