An elementary treatise on modern pure geometry (1893)
Lachlan, Robert · London, New York, Macmillan and Co. · leaf 90
external bisectors of the other angles in the point I,, I« will bethe centre of the 5-escribed circle. And, if the internal bisectorof the angle AGB meet the external bisectors of the other anglesin Is, I, will be the centre of the C-escribed circle. 128. Ex. 1. Show that the circumcircle of the… … Let D be the middle point of £C, and let SD meet the circumcircle in Oand S. It follows from Ex. 1, that (? is the middle point of//i, and 5 themiddle point of /j/,. Hence iHJD^r^+r^, SJ)0 = r^- r. Therefore4iJ=2ir<?=rj+rJ+r, - r. 74 PEOPERTIES OF THE INSCRIBED CIRCLE. Ex.3. Show that…
Geometry
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