| Olaus Henrici, George Charles Turner - 1903 - 204 páginas
...negative. Geometrically the 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 be... | |
| 1903
...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. The internal bisector of an... | |
| 1903
...that the square on DE is equal to twice the rectangle contained by the radii of the two circles. 4. **If two triangles have one angle of the one equal to one** an^le of the other, and the sides about the equal angles proportionals, show that the triangles are... | |
| 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 - 1904 - 456 páginas
...first. [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
...the tangent. ((/) 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... | |
| Daniel Coit Gilman, Harry Thurston Peck, Frank Moore Colby - 1906
...QVIPRILATKRI LS. one respectively parallel or perpendicular to the sides of the other, they are similar. **If two triangles have one angle of the one equal to one angle of the other, and the** including »ides proportional, the triangles are similar. If two triangles have their sides proportional,... | |
| 1906
...; Failed, 21 ; Total, 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,... | |
| 1907
...rectilineal figure which shall be similar to one, and equal to another given rectilineal figure. 4. **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 remaining angles are equal, each to each, viz., those... | |
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