 | 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... | |
 | John James Milne - 1885 - 392 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... | |
 | 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... | |
 | Edinburgh Mathematical Society - Electronic journals - 1894 - 234 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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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. 
