 | George Albert Wentworth, David Eugene Smith - 1910 - 287 σελίδες
...+l:x -1= 3 : 2. 27. 0.25:x = 5:8. 39. 3 :a; + 4 = x - 4: 3. PROPOSITION IX. THEOREM 273. If a line is drawn through two sides of a triangle parallel to the third side, it divides the two sides proportionally. Given the triangle ABC, with EF drawn parallel to BC. To prove... | |
 | David Eugene Smith - 1911 - 360 σελίδες
...geometry. We shall now consider a few of the principal propositions of Book III. THEOREM. If a line is drawn through two sides of a triangle parallel to the third side, it divides those sides proportionally. In addition to the usual proof it is instructive to consider... | |
 | William Betz, Harrison Emmett Webb, Percey Franklyn Smith - 1912 - 360 σελίδες
...construction, the equality of any of the angles. PROPORTIONAL SEGMENTS PROPOSITION I. THEOREM 372. If a line is drawn through two sides of a triangle, parallel to the third side, it divides those sides proportionally. BC Given the triangle ABC, with DE parallel to BC, dividing... | |
 | William Betz, Harrison Emmett Webb - 1912 - 368 σελίδες
...proportion appears very frequently. In general form it is stated as follows : 374. COROLLARY 1. If a line is drawn through two sides of a triangle, parallel to the third side, , \ one of those sides is to either part — -FV cut off by the parallel line as the other side is... | |
 | George Albert Wentworth, David Eugene Smith - 1913 - 496 σελίδες
...38. a;+1:a;-1=3:2. 27. 0.25:a; = 5:8. 39. 3:a; + 4 = x-4:3. PROPOSITION IX. THEOREM 273. If a line is drawn through two sides of a triangle parallel to the third side, it divides the two sides proportionally. Given the triangle ABC, with EF drawn parallel to BC. To prove... | |
 | John Wesley Young, Albert John Schwartz - 1915 - 248 σελίδες
...by using the equal ratios 10. If -=-, prove that bd a _a +26 ~ ' 389. THEOREM. If a straight line is drawn through two sides of a triangle parallel to the third side, it divides these sides proportionally. E L \ Fio. 177. Given the A ABC with XY II BC, cutting AB and... | |
 | John H. Williams, Kenneth P. Williams - 1916 - 184 σελίδες
...is to its consequent. 279. Like powers of the terms of a proportion are in proportion. 285. A line drawn through two sides of a triangle parallel to the third side divides the two sides proportionally. 296. Two right triangles are similar if an acute angle of one... | |
 | William Betz, Harrison Emmett Webb - 1916 - 214 σελίδες
...which have their angles respectively equal and their homologous sides proportional. 372. If a line is drawn through two sides of a triangle, parallel to the third side, it divides those sides proportionally. 379. If two triangles have the angles of one equal respectively... | |
 | William Betz - 1916 - 536 σελίδες
...proportion appears very frequently. In general form it is stated as follows : 374. COROLLARY l.Ifa line is drawn through two sides of a triangle, parallel to the third side, , % one of those sides is to either part — 4 ^ cut off by the parallel line as the mn other side... | |
 | Marquis Joseph Newell - 1920 - 424 σελίδες
...proportion. II. Corresponding sides or diagonals of similar polygons are in proportion. III. If a line is drawn through two sides of a triangle parallel to the third side, it divides the two sides proportionally. IV. If in a right triangle a perpendicular is drawn from the... | |
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If a straight line is drawn through two sides of a triangle parallel to the third side, it divides these sides proportionally. 
