Plane and solid geometry . Ex. 660. If AB = 50, DB = 15, AF = 28, and UC = 12, is DE parallel to BC ? Prove. Ex. 661. If DE II BC, AB = 25, DB = 5,and ^0 = 20, find ^^. Ex. 662. If DE 11 BG, AB= 30, AD = 25, and EC = 4, find AC. SIMILAR POLYGONS 417. Def. If the angles of one polygon, taken in order, areequal respectively to those of another, taken in order, the poly-gons are said to be mutually equiangular. The pairs of equalangles in the two polygons, taken in order, are called homolo-gous angles of the two polygons. 418. Def. If the sides of one polygon, taken in order asantecedents, form a
Plane and solid geometry . Ex. 660. If AB = 50, DB = 15, AF = 28, and UC = 12, is DE parallel to BC ? Prove. Ex. 661. If DE II BC, AB = 25, DB = 5,and ^0 = 20, find ^^. Ex. 662. If DE 11 BG, AB= 30, AD = 25, and EC = 4, find AC. SIMILAR POLYGONS 417. Def. If the angles of one polygon, taken in order, areequal respectively to those of another, taken in order, the poly-gons are said to be mutually equiangular. The pairs of equalangles in the two polygons, taken in order, are called homolo-gous angles of the two polygons. 418. Def. If the sides of one polygon, taken in order asantecedents, form a series of equal ratios with, the sides ofanother polygon, taken in order as consequents, the polygonsare said to have their sides proportional. Thus, in the accom-panying figure, if a : I = b : m = c : n = d : o = e : 2^, the twopolygons have their sides proportional. The lines forming anyratio are called homologous lines of the two polygons, and theratio of two such lines is called the ratio of similitude of
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Keywords: ., bookcentury1900, bookdecade1910, booksubjectgeometr, bookyear1912
