| Charles Godfrey, Arthur Warry Siddons - 1903 - 355 Seiten
...join 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,... | |
| University of Sydney - 1904
...the 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...about the equal angles reciprocally proportional.** 8. Find the weight of a conical piece of metal, whose height is 3 ft., and the radius of its base 2... | |
| Euclid - 1904 - 456 Seiten
...angle of the other, have their sides about the equal angles reciprocally proportional. Conversely, **parallelograms which have one angle of the one equal to one angle of the other,** and the sides about these angles reciprocally proportional, are equal in area. L GC Let the parm" AB,... | |
| 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... | |
| Daniel Coit Gilman, Harry Thurston Peck, Frank Moore Colby - 1906
...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... | |
| 1906
...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... | |
| 1907
...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,... | |
| University of Allahabad - 1907
...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... | |
| University of Calcutta - 1907
...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. If a polygon is divided... | |
| Walter Percy Workman - 1908
...thenproveT.il andT.llcby means of Ar.6. 309. THEOREM [Ar.7.]. — It two triangles (or two parallelograms) **have one angle of the one equal to one angle of the other,** their areas are in the ratio of the products of tbe •ides containing the equal angles. (i) In Fig.... | |
| |