| William Betz - Geometry - 1916 - 507 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... | |
| Edith Long, William Charles Brenke - Geometry, Plane - 1916 - 276 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... | |
| Jacob William Albert Young, Lambert Lincoln Jackson - Geometry, Plane - 1916 - 312 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... | |
| John Charles Stone, James Franklin Millis - Geometry - 1916 - 278 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... | |
| Eugene Randolph Smith - Geometry, Solid - 1918 - 211 pages
...equal to, or less than, the opposite angle of the other, and conversely. (6) Areas of triangles having **an angle of one equal to an angle of the other are to each other** as the products of the including sides. B. PLANE GEOMETRY PROPOSITIONS THAT CAN BE USED IN SOLID GEOMETRY... | |
| Arthur Schultze, Frank Louis Sevenoak - Geometry - 1918 - 457 pages
...given squares. PROPOSITION XIII. THEOREM 378. The areas of two triangles which have an angle of the **one equal to an angle of the other are to each other** as the products of the sides including the equal angles. Given A ABC and A'B'C', Z. A = Z A'. To prove... | |
| Claude Irwin Palmer - Geometry, Solid - 1918 - 177 pages
...triangles have their corresponding sides proportional, they are similar. § 431. Theorem. If two triangles **have an angle of one equal to an angle of the other** and the including sides proportional, they are similar. . § 432. Theorem. The areas of two similar... | |
| Claude Irwin Palmer, Daniel Pomeroy Taylor - Geometry - 1918 - 436 pages
...measurements are necessan ? §422 §428 Given Whv? §400 §27 § HI 431. Theorem. // two triangles **have an angle of one equal to an angle of the other** and the including sides proportional, they are similar. Given A ABC and EKH having Zx = ,AB AC and... | |
| Education - 1898
...number of triangles, similar each to each and similarly placed. 10. Show that two triangles having **an angle of one equal to an angle of the other, are to each other** as the products of the sides, including the equal angles. PHYSIOLOGY-First Grade. L Illustrate the... | |
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