 | 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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... they have an angle of one equal to an angle of the other and the including sides are proportional; (c) their sides are respectively proportional. 
