| Olaus Henrici, George Charles Turner - Electronic book - 1903 - 204 pages
...theorem is that of Euc. VI. vi., from which the general case follows at once. " 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 similar." For if one triangle... | |
| Charles Godfrey, Arthur Warry Siddons - Geometry - 1903 - 355 pages
...PQ ; measure L.' P, Q, and compare them with L.' B, C. =o fig. 313. 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. fig. 314. Data ABC, DEF... | |
| Education - 1903
...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. The internal bisector of... | |
| 1903
...angles to the straight line joining the middle points of AD and BC. 3. Show that if two triangles have **one angle of the one equal to one angle of the other, and** the sides about another angle of each proportional, the sides opposite the equal angles being homologous,... | |
| University of Sydney - 1904
...iu-radius and the circum-radius respectively measure 1 ft. and " ft. 1 in. 7. Equal triangles, which have **one angle of the one equal to one angle of the other,** have their sides about the equal angles reciprocally proportional. 8. Find the weight of a conical... | |
| Euclid - Euclid's Elements - 1904 - 456 pages
...[Book vi. Def. 4.] PROPOSITION 14. THEOREM. Parallelograms which are equal in area, and which have **one angle of the one equal to one angle of the other,** have their sides about the equal angles reciprocally proportional. Conversely, parallelograms which... | |
| 1905
...About a given circle circumscribe a triangle equiangular to a given triangle. (e) 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 are similar. '2. ABCD, AEFG are two squares... | |
| 1906
...94. The work in this Stage quite reaches the standard of last year. A. Q. 41. If two triangles have **one angle of the one equal to one angle of the other, and** the sides about the equal angles proportionals, show that the triangles are equiangular to one another,... | |
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