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 133
f CZ. q.e.d. By means of this Corollary it may be shewn that in any trianglethe shorter median bisects the greater side. [The point of intersection of the three medians of a triangle iscalled the centroid. It is shewn in Mechanics that a thin triangularplate will balance in any position about this… … Let ABC be a A, and AD, BE, CF- the three perp8 drawn fromthe vertices to the opposite sides. Then shall the perp3 AD, BE, CF be concurrent. Through A, B, and C draw straight lines MN, NL, LM parallelto the opposite sides of the A. Then the figure BAMC is a parm. Def. 36. .-. AB=MC. i. 34, Also the…
Geometry · Mathematics
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