Lectures on fundamental concepts of algebra and geometry (1911)
Young, John Wesley, 1879-1932, Denton, William Wells, Mitchell, Ulysses Grant · New York : Macmillan · leaf 219
suppose there exists a curve C such that themaximum distancebetween a curve ofthe sequence and thecurve C, measured insome given direction,becomes and remainsless than any previ-ously assigned posi-tive number. Wemay then say thatthe curve C is thelimit of the sequenceCo Cj, Cs, •••. As an example,… … LECTURE XX 207 line ADFEC. Bisect the sides of the two new triangleshaving their bases on the line AC, and let the curve Cs ofour sequence be the broken line AOHIFJLKC. Supposethis process continued indefinitely. The maximum distanceof any point of one of the broken lines Ci, G^, C3, ••• fromthe…
Algebra · Geometry
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