. Mathematical recreations and essays. Mathematical recreations; Geometry; Bees; Cryptography; Ciphers; String figures; Magic squares. ultimately obtain a geometrical figure or network. In the Kbnigsberg problem this figure is of the shape indicated below, the areas being represented by the points A, B, C, D, and the bridges being represented by the lines I, m, n, p, q, r, Euler's problem consists therefore in finding whether a given geometrical figure can be described by a point moving so as to traverse every line in it once and only once. A more general question is to determine how many
. Mathematical recreations and essays. Mathematical recreations; Geometry; Bees; Cryptography; Ciphers; String figures; Magic squares. ultimately obtain a geometrical figure or network. In the Kbnigsberg problem this figure is of the shape indicated below, the areas being represented by the points A, B, C, D, and the bridges being represented by the lines I, m, n, p, q, r, Euler's problem consists therefore in finding whether a given geometrical figure can be described by a point moving so as to traverse every line in it once and only once. A more general question is to determine how many strokes are neces- sary to describe such a figure so that no line is traversed twice: this is covered by the rules hereafter given. The figure may be either in three or in two dimensions, and it may be repre- sented by lines, straight, curved, or tortuous, joining a number of given points, or a model may be constructed by taking a number of rods or pieces of string furnished at each end with a hook so as to allow of any number of them being connected together at one point. The theory of such figures is included as a particular case. Please note that these images are extracted from scanned page images that may have been digitally enhanced for readability - coloration and appearance of these illustrations may not perfectly resemble the original Ball, W. W. Rouse (Walter William Rouse), 1850-1925. London, Macmillan
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Keywords: ., bookcentury1900, bookdecade1920, booksubjectgeometry, bookyear192
