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" The six straight lines. joining two and two the centres of the four circles which touch the sides of a triangle pass each through one of the vertices of the triangle. "
Proceedings of the Edinburgh Mathematical Society - Page 49
by Edinburgh Mathematical Society - 1894
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The Elements of Euclid, books i. to vi., with deductions, appendices and ...

Euclides - 1884 - 434 pages
...points, /, /j, /2, /3, which are the centres of the four circles touching the three given straight lines. Or, the six straight lines joining two and two the centres of the four circles which touch AB, BC, CA, pass each through a vertex of the A ABC. The circles whose centres are Iv 7,, /3 are called...
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Weekly problem papers, with notes. [With] Solutions

John James Milne - 1885 - 388 pages
...4(Д2 + /P) sin A sin B sin С, R being the radius of the circum-circle. 7. A conic passes through the centres of the four circles which touch the sides of a triangle. Prove that the locus of its centre is the circumscribing circle. PAPER XIX. 2. Solve the equations...
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An Elementary Treatise on the Geometry of Conics

Sir Asutosh Mookerjee - Conic sections - 1893 - 197 pages
...the hypothesis. Hence the curve must pass through the orthocentre. Ex. 1. Every conic passing through the centres of the four circles which touch the sides of a triangle is a rectangular hyperbola. Ex. 2. Any conic passing through the four points of intersection of two...
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Proceedings of the Edinburgh Mathematical Society, Volume 1

Edinburgh Mathematical Society - Electronic journals - 1894 - 236 pages
...rc. (1) The points A, I, L. ; B, I, I2 ; C, I, I3 are collinear. So are I2, A, I3 ; I3, B, I, ; IH C, I2. These results expressed in words are : The...(exinscrit) was first used by Simon Lhuilier. See his Élément d'Analyse, p. 198 (1809). If the term escribed was not introduced by TS Davies, currency...
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