 | Thomas Aloysius O'Donahue - Mine surveying - 1911 - 288 pages
...let the side DE of the triangle DE be equal to 8. Then as the three angles of the one triangle are equal to the three angles of the other, each to each, and AB and DE are opposite equal angles, the remaining sides of each triangle will bear the same proportion... | |
 | Mathematics - 1915 - 830 pages
...translation. There is, however, one case presenting a striking difference. On S, if two triangles have three angles of the one equal to the three angles of the other, the triangles are either symmetric or congruent; in P they are merely similar. Corresponding to these... | |
 | Edinburgh Mathematical Society - Electronic journals - 1884 - 90 pages
...of the ordinary "ambiguous case" of Plane Geometry. § 7. The polar theorem of Euclid I. 8. If two triangles have the three angles of the one equal to the three angles of the other, the triangles are either congruent or symmetric. The polar theorems of Euclid I. 24 and I. 25. § 8.... | |
 | Great Britain. Scottish Education Dept - National teacher examinations - 1898 - 106 pages
...circle which shall contain an angle equal to a given angle PQR. A. 4. GFK and BCD are two triangles with the three angles of the one equal to the three angles of the other. Prove the sides about the equal angles proportional. SECTION B. B. 5. Give Euclid's definition of proportion.... | |
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If two triangles have the three angles of one equal to the three angles of the other, each to each, do you think the two triangles are necessarily alike in every respect ? 5. 
