2015
DOI: 10.1017/mag.2014.6
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On the Routh-Steiner theorem and some generalisations

Abstract: Following Coxeter we use barycentric coordinates in affine geometry to prove theorems on ratios of areas.In particular, we prove a version of Routh-Steiner theorem for parallelograms.

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Cited by 2 publications
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“…Steiner-Routh's theorem which is sometimes called just Routh's theorem was discussed in many papers and books. See [33] p. 166, [14] p. 33, [29] p. 89, [12] p. 41-42, [20], [10] p. 211, 212, [1], [2], [37], [16] p. 382, [17], [23], [8], [7] p. 276, [36], [30], [32], [31], [11], and their references. Steiner-Routh's formula was generalized in many different directions: [6], [9], [19], [18], [40].…”
Section: Introductionmentioning
confidence: 99%
“…Steiner-Routh's theorem which is sometimes called just Routh's theorem was discussed in many papers and books. See [33] p. 166, [14] p. 33, [29] p. 89, [12] p. 41-42, [20], [10] p. 211, 212, [1], [2], [37], [16] p. 382, [17], [23], [8], [7] p. 276, [36], [30], [32], [31], [11], and their references. Steiner-Routh's formula was generalized in many different directions: [6], [9], [19], [18], [40].…”
Section: Introductionmentioning
confidence: 99%