| Claude Irwin Palmer, Daniel Pomeroy Taylor - Geometry, Plane - 1915 - 336 pages
...1 minute. 60 minutes = 1 degree. 60" 60' = 1'. = 1°. 28. Experiment. The two triangles ABC and GHK **have an angle of one equal to an angle of the other.** Are these two triangles equal? FIG. 3 The two triangles ABC and DEF have the three angles of one equal... | |
| Edward Rutledge Robbins - Geometry, Plane - 1915 - 282 pages
...= ZB (67). .-. A AMN is similar to A ABC (303). QED PROPOSITION XXII. THEOREM 306. If two triangles **have an angle of one equal to an angle of the other** and the sides including these angles proportional, the triangles are similar. D / \ BCEF Given : A... | |
| John Charles Stone, James Franklin Millis - Geometry - 1916 - 306 pages
...DExDF~lDE DF AB AC 5. DE DF AABC =AB A DEF DE* DE' Def. sim. A Ax. XII EXERCISES 1. Two triangles that **have an angle of one equal to an angle of the other, have** the sides including the equal angles 4 in. and 9 in. and 12 in. and 5 in., respectively. Compare their... | |
| Edith Long, William Charles Brenke - Geometry, Modern - 1916 - 292 pages
...of similar triangles are proportional to any two corresponding sides. Theorem XVI. If two triangles **have an angle of one equal to an angle of the other,** and the including sides proportional, the triangles are similar. Theorem XVII. If two triangles have... | |
| Edith Long, William Charles Brenke - Geometry, Modern - 1916 - 292 pages
...of similar triangles are proportional to any two corresponding sides. Theorem XVI. If two triangles **have an angle of one equal to an angle of the other,** and the including sides proportional, the triangles are similar. Theorem XVII. If two triangles have... | |
| John Charles Stone, James Franklin Millis - Geometry - 1916 - 298 pages
....,.Z.EDF=ZA,Z.DEF=ZB,ZF=ZC. Ax. I 12. .-.AABC~ADEF. Def.sim.poly. 130. Theorem. — If two triangles **have an angle of one equal to an angle of the other,** and the including sides proportional, they are similar. C Hypothesis. In A ABC and A DEF, Z(7 = ZF... | |
| William Betz, Harrison Emmett Webb - Geometry, Solid - 1916 - 214 pages
...one equal respectively to the angles of the other, the triangles are similar. 386. If two triangles **have an angle of one equal to an angle of the other,** and the including sides proportional, the triangles are similar. 391. The homologous altitudes of two... | |
| John Charles Stone, James Franklin Millis - Geometry, Solid - 1916 - 196 pages
...triangles have their corresponding sides proportional, the triangles are similar. § 130. If two triangles **have an angle of one equal to an angle of the other,** and the including sides proportional, they are similar. § 146. The sum of any two sides of a triangle... | |
| William Betz - Geometry - 1916 - 536 pages
...successively 54, 68, 72, 72, 60, 44, 36, 28, and 20, measurements being in centimeters. 337. If two triangles **have an angle of one equal to an angle of the other,** their areas are to each other as the products of the sides including the equal angles. Given two triangles... | |
| Jacob William Albert Young, Lambert Lincoln Jackson - Geometry, Plane - 1916 - 328 pages
...are siruilar. Hence, show that DG . DE = DH • DF. PROPOSITION XIII. THEOREM 316. If two triangles **have an angle of one equal to an angle of the other** and the sides including these angles proportional, the triangles are similar. A 3 A' . O' Given A ABC... | |
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