| 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 - 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... | |
| 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 - 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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