* This expression in its French form (exinscrit) was first used by Simon Lhuilier. See his Élimens d'Analyse, p. 198 (1809)Google Scholar. If the term escribed was not introduced by Davies, T. S., currency at least was given to it by him. See Ladies' Diary for 1835, p. 50.Google Scholar

† See the note on p. 32.

* Compare the subscripts in the values of 8, S, S₁, s₂, s₃ with the subscripts in § 4 (2).

* Feuerbach, , Eigentchaften…da,…Dreiecks, §66 (1822).Google Scholar

† Todhunter's, Plane Trigonometry, Chapter XVI. Example 16 (1859).Google Scholar

* Feuerbach, , Eigcntchaftm…des…Dreicks, §66 (1822).Google Scholar

† MrTucker, R. in Mathematical Qutttiont from the Educational Times, XV. 103–4 (1871).Google Scholar

* Feuerbach, Eigenschaften … des … Dreiecks, §61 (1822).Google Scholar

† The Museum, III. 269–70 and 342 (1866).Google Scholar

* MrAnderson, R. E. in Proceedings of the Edinburyh Mathematical Society, X. 79 (1892).Google Scholar

* MrBrocot, in the Journal de Mathérnatiques Élémentaires, I. 383 (1877), II. 128 (1878).Google Scholar

* MrCesaro, E. in Nouvellc Correspondence Mathématique, V. 224 (1878)Google Scholar; proof and extension of the property to the external bisectors by MrCauret, on pp. 334–5.Google Scholar The proof in the text is taken from Vuibert's Journal IX. 72 (1885). Mr Cesaro gives the corresponding property for the tetrahedron.Google Scholar

* This and (37) are given by Wallace, William in Leybourn's Mathematical Repository, old series, II. 187 (1801).Google Scholar

† Johnson, John, of Birmingham, in Leybourn's Mathematical Repository, old series, II. 376 (1801).Google Scholar

MrLangley, E. M. in the Sixteenth Report of the Association for the Improvement of Geometrical Teaching, pp. 35–6 (1890), gives another demonstration by means of Brianchon's theorem:Google Scholar

* MrCesaro, E. in Mathais I. 79 (1881). The two demonstrations are from the same volume, pp. 117–8.Google Scholar

* Mauduit's Leçom de G´eométrie, pp. 239–242 (1790).Google Scholar