alternate segments, 25G (jEOMEriiY. taken in order, is equal to the product of theother three, then the three straight lines passthrough the same point. It may readily be proved indirectly. Definition. A straight line which cnts a jyiven sys-tem of lines is called a transversal. Prop. 22. If a… … Let the straight line DEF cut the sides BC, CA, AB,of the A ABC in D, E, F, respectively. Then BD . CE . AF = DC . EA . FB. Through A draw AN || to DEF, cutting BC in N. Then by similar As, BD_ND. BF~AF T CE EA . also ^^ = „^ ,DC ND ,^. , . BD CE EA. •••mnltiplymg -.j^^=^p-, or BD.CE.AF = DC,EA.FB…
Geometry · Geometry, Plane
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