 ... have an angle of one equal to an angle of the other and the including sides are proportional; (c) their sides are respectively proportional.  Plane Geometry - Page 187by Edith Long, William Charles Brenke - 1916 - 276 pagesFull view - About this book
 | George Clinton Shutts - 1905 - 260 pages
...etc. Compare the ratios with . A' B' B' C' Therefore— • 299. COROLLARY I. // two triangles have two angles of one equal, respectively, to two angles of the other, the triangles are similar. 300. COROLLARY II. Two right triangles which have an acute angle of one... | |
 | Wisconsin. Department of Public Instruction - Education - 1906 - 124 pages
...angles are proportional; (3), When their sides are proportional. Cors. to 85. 1. Two triangles having two angles of one equal respectively to two angles of the other are similar. 2. Two right triangles having an acute angle of one equal to an acute angle of the other... | |
 | Webster Wells - Geometry, Plane - 1908 - 206 pages
...angle of a triangle is greater than either of the opposite interior angles. 87. If two triangles have two angles of one equal, respectively, to two angles of the other, the third angle of the first is equal to the third angle of the second. 88. A triangle cannot have... | |
 | Webster Wells - Geometry - 1908 - 336 pages
...angle of a triangle is greater than either of the opposite interior angles. 87. If two triangles have two angles of one equal, respectively, to two angles of the other, the third angle of the first is equal to the third angle of the second. 88. A triangle cannot have... | |
 | Grace Lawrence Edgett - Geometry - 1909 - 104 pages
...complementary. 2. In a triangle there can be but one right angle or one obtuse angle. 3. If two triangles have two angles of one equal respectively to two angles of the other, the third angles are equal. 4. Two right triangles are equal if a leg and an acute angle of one are... | |
 | Clara Avis Hart, Daniel D. Feldman - Geometry, Modern - 1911 - 332 pages
...409. 5. § 309. 6. By steps similar to 1-5. 7. § 54, 1. 8. § 419. 421. Cor. I. If two triangles have two angles of one equal respectively to two angles of the other, the triangles are similar, 422. Cor. n. Two right triangles are similar if an acute angle of one is... | |
 | William Betz, Harrison Emmett Webb, Percey Franklyn Smith - Geometry, Plane - 1912 - 360 pages
...A ABC and A'B'C' are proportional. 6. .-.AABC~AA'B'C'. Why? 380. COROLLARY 1. If two triangles have two angles of one equal respectively to two angles of the other, the triangles are similar. 381. COROLLARY 2. If two right triangles have an acute angle of one equal... | |
 | William Betz, Harrison Emmett Webb - Geometry, Modern - 1912 - 368 pages
...&ABC and A'B'C' are proportional. 6. .-.AABC~AA'B'C'. Why? 380. COROLLARY 1. If two triangles have two angles of one equal respectively to two angles of the other, the triangles are similar. 381. COROLLARY 2. If two right triangles have an acute angle of one equal... | |
 | Claude Irwin Palmer, Daniel Pomeroy Taylor - Geometry, Plane - 1915 - 296 pages
...ZC=ISQ°-ZA-ZB. Or ZC = 180°-(ZA + ZB). 26 27 32. How many degrees in ZD? InZB? §31 // two triangles have two angles of one equal respectively to two angles of the other, the third angles are equal. 33. Vertical Angles. If the sides of prolongations of the sides of another... | |
 | Edith Long, William Charles Brenke - Geometry, Plane - 1916 - 292 pages
...and AiBiCi with angle A equal to angle Ai and the including sides of such length that 6- = ! bi d' To prove that triangles ABC and AiBiCi are similar....respectively to two angles of the other. Since ZA equals ZA i, we have but to prove that ZB equals Z BI. By placing the two triangles together with equal angles... | |
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