An elementary treatise on modern pure geometry (1893)
Lachlan, Robert · London, New York, Macmillan and Co. · leaf 83
at the triangles AQB, AqC are similar. Ex. 3. Show that the areas of the triangles AQB, CaA are equal. Ex. 4. Show that Aq. Ba. Ca=AQ. Bq . Cq. The Circumcircle. 118. The circle which passes through the vertices of a tri-angle is called the circumcircle of the triangle; and the centre ofthis circle… … Since the tangent at A makes the same angles with the linesAB, AC, as, the side BC makes with AC, AB respectively (EuclidIII., Prop. 32), it follows that the tangent at .4 is antiparallel to theside BC. Since SA is perpendicular to the tangent at ^, we see thatSA is perpendicular to any line which…
Geometry
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