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 467
m P a perpen-dicular PO is drawn to the plane of ABC : shew that O is theorthocentre of the triangle ABC. 446 EUCLIDS ELEMENTS. THEOREMS AND EXAMPLES ON BOOK XL Definitions. (i) Lines which are drawn on a plane, or throughwhich a plane may be made to pass, are said to be co-planar. (ii) The… … Let AB be the given st. line, and XY the given plane. From P, any point in AB, draw Pp perp. to the plane XY. It is required to shew that the locus of p is a st. line. From A and B draw Aa, B6 perp. to the plane XY. Now since Aa, Pp, B& are all perp. to the plane XY .*. they are par1. And since…
Geometry · Mathematics
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