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 470
AC is a par ;.-. its diagonals AA, CC bisect one another. Ex. .r), p. 70. That is, AA passes through O, the middle point of CC. Similarly if BC and BC were joined, the fig. BCBC would be Bpar ; .. the diagonals BB, CC bisect one another.That is, BB also passes through O the middle point of… … Let ABCD be a tetrahedron, and let gv g2, gs, g4 be the centroidsof the faces opposite respectively to A, B, C, D. Then shall Ag1? Bg2, Cg3, Dg4 be concurrent. Take X the middle point of the edge CD ;then gl and g.z must lie respectively in BX and AX, so that BX = 3. Xgv Ex. 4, p. 113. and AX = 3 .…
Geometry · Mathematics
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