 | University of Cambridge - 1907 - 1636 pages
...converse. If two triangles are equiangular their corresponding sides are proportional ; and the converse. If two triangles have one angle of the one equal to one angle of the other and the sides about these equal angles proportional, the triangles arc similar.... | |
 | 352 pages
...similar to ABODE. (This should be done with set-square and straight edge only.) fig. 254. THEOREM 5. If two triangles have one angle of the one equal to one angle of the other and the sides about these equal angles proportional, the triangles are similar.... | |
 | Euclid - Euclid's Elements - 1908 - 196 pages
...ACQ, BCR are similar. (2) AQ : AC '= BC : BR. Art. 94. PROPOSITION XXXI. (Euc. VI. 7.) ENUNCIATION. If two triangles have one angle of the one equal to one angle of the other, and the sides about one other angle in each proportional in such a manner that... | |
 | Geometry - 1973 - 204 pages
...OYcut off OP = §AB, OQ= § AC ; join PQ; measure L' P, Q, and compare them with L' B, C. THEOREM 5. If two triangles have one angle of the one equal to one angle of the other and the sides about these equal angles proportional, the triangles are similar.... | |
 | Herbert James Larcombe - 1928 - 272 pages
...LBXY=LBAC; LBYX=LBCA; ie LA = LD and LC = L F. Therefore the triangles ABC, DEF are equiangular. Learn: If two triangles have one angle of the one equal to one angle of the other, and the sides about these angles proportional, the triangles are equiangular. 10.... | |
 | G. P. West - Geometry - 1965 - 362 pages
...SSS case of congruence and you use that theorem. Ex. 5. Write out the proof of Th. 52. THEOREM 53. If two triangles have one angle of the one equal to one angle of the other and the sides about these angles proportional, the triangles are similar. The construction... | |
 | University of Oxford - Universities and colleges - 1915 - 620 pages
...converse. I f two triangles are equiangular their corresponding sides are proportional ; and the converse. If two triangles have one angle of the one equal to one angle of the other and the sides about these equal angles proportional, the triangles are similar.... | |
 | University of Bombay - 1916 - 654 pages
...converse. If two triangles are equiangular, their corresponding sides are proportional; and the converse. If two triangles have one angle of the one equal to one angle of the other and the sides about these equal angles proportional, the triangles are similar.... | |
 | University of New Zealand - 1904 - 362 pages
...converse. If two triangles are equiangular, their corresponding sides are proportional ; and the converse. If two triangles have one angle of the one equal to one angle of the other, and the sides about their equal angles proportional, the triangles are similar.... | |
 | University of Cambridge - 1853 - 650 pages
...rectangle contained by their distances from a fixed point in the line may be equal to a given square. 6. If two triangles have one angle of the one equal to one angle of the other and the sides about the equal angles proportionals, the triangles shall be equiangular,... | |
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If two triangles have one angle of the one equal to one angle of the other and the sides about these equal angles proportional, the triangles are similar. 
