| Trinity College (Dublin, Ireland) - 1914 - 568 pages
...CA : : EF : FD, prove that the triangles are equiangular. 6. If two triangles are equal in area, and **have an angle of one equal to an angle of the other,** prove that the sides about these equal angles are reciprocally proportional. 7. If four straight lines... | |
| 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 ABC and... | |
| Edward Rutledge Robbins - Geometry, Plane - 1915 - 280 pages
...other as the products of the sides including these angles. CBM Ex. 2. If two triangles of equal area **have an angle of one equal to an angle of the other,** the sides including these angles are reciprocally proportional. Ex. 3. Any two sides of a triangle... | |
| College Entrance Examination Board - Mathematics - 1915 - 60 pages
...locus of the center of a circle passing through two given points. 3. The areas of two triangles which **have an angle of one equal to an angle of the other** are to each other as the products of the side including those angles. 4. Construct a triangle ABC;... | |
| 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... | |
| John Wesley Young, Albert John Schwartz - Geometry, Modern - 1915 - 248 pages
...of the other. PLANE GEOMETRY 410. THEOREM. Two triangles are similar, if they have an angle of the **one equal to an angle of the other and the including sides** are proportional. , FIG. 186. Given the A ABC and A'B'C', with ZA = Z A', and AB = AC A'B'~A'C'' To... | |
| 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 their corresponding sides proportional... | |
| 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 their corresponding sides proportional... | |
| 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 is greater than the third side. §... | |
| 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 and AC=BC DF EF Conclusion. A AB C ~ A... | |
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