A school geometry. containing the substance of Euclid books II anfd III and part of book IV (1917)
Hall, H. S. (Henry Sinclair), 1848-1934, Stevens, F. H. (Frederick Haller), 1852-1933 · London : Macmillan · leaf 100
e ortho-centre ; S and N the centres of thecircumscribed and nine-points circlesrespectively. (i) To prrove that N is the middlepoint of SO. It may be shewn that the perp, toXD from its middle point bisects SO ;Thtor. 22. Similarly the perp. to EY at itsmiddle point bisects SO : that is, these… … the centre N is the middle point of SO. Q.E.D. (ii) To prove that the radius of the nine-pjoints eirde is half theradium of the circum-circle. By the last Proposition, Xa is a diameter of the nine-points circle..•. the middle point of Xa is its centre :but the middle point of SO is also the centre…
Geometry
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