Beman, Wooster Woodruff, 1850-1922, Smith, David Eugene, 1860-1944 · Boston, Ginn & company · leaf 257
to AZ, ZB. Why ? AZ A .IPC 2. andand ZP A PPGBXABPAXC~ A APC9CYAPBC YA~ ABBA _ . AZ BX CY 3- ZBXCYA = 1- Ax6 Conversely : Let CP meet c in Z; then as above,.4Z PA CT_ZP * XC YA ~ K _ . ^ px cr °-But zpxgT^ = l Glven 6. Z?B~ ZB 7. .. Z must coincide with Z. IV, prop. XI, cor. Note. Cevas theorem.… … 2. And similarly, and3. Ax. 6 Proof. 1. Let I, m, n be perpendiculars from A, B, C onlF.Then by similar A, ZB being here negative, AZ IZB~-m BX _mXC~nCY _nYA~I AZ BX CY* ZB XC YA Conversely : Let XY meet AB in Z; then as above, AZ BX CYZBXC YA AZ BX CYZB XC YA AZ AZ•* ZB~ZB 7. .. Z must coincide…
Geometry
Internet Archive · California Digital Library · Public Domain Mark 1.0. Free to use for anything.
