| 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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