Text-book of Euclid's elements for the use of schools : books I - VI and XI (1900)
Hall, H. S. (Henry Sinclair), 1848-1934, Stevens, F. H. (Frederick Haller), 1853-1933 · MacMillan : London · leaf 320
a rt. angle. I. 29. .. the points X, Z, a, Y are concyclic : that is, a lies on the Oce of the circle, which passes through X, Y, Z;and Xa is a diameter of this circle. Similarly it may be shewn that 8 and y lie on the Oce of thecircle which passes through X, Y, Z. Again, since aOX is a rt. angle,… … From this property the circle which passes through the middlepoints of the sides of a triangle is called the Nine-Points Circle ;many of its properties may be derived from the fact of its being thecircle circumscribed about the pedal triangle. 302 EUCLIDS ELEMENTS. 33. To prove that (i) the centre…
Geometry · Mathematics
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