| George Albert Wentworth - Geometry - 1877 - 442 pages
...EH AE = B'C'' A'B' B'C' =A'B', Hyp. Ax. 1 Cons. PROPOSITION VI. THEOREM. 284. Two triangles having **an angle of the one equal to an angle of the other,** and the including sides proportional, are similar. A A' In. the triangles ABC and A' B' С' let /А... | |
| James McDowell - 1878 - 312 pages
...DEF are equiangular (constr.), therefore ABC and DEF are also equiangular. QED 81. If two triangles **have an angle of the one equal to an angle of the other,** and the rectangles under the sides about the equal angles equal, a side of each triangle being taken... | |
| Wm. H. H. Phillips - Geometry - 1878 - 236 pages
...Cor. 3). ABE BE .. . ABC ABD The same is true of parallelograms. BE BF' VI. Theorem. If two triangles **have an angle of the one equal to an angle of the other,** the ratio of their areas is equal to that of the products of the sides which contain those angles.... | |
| J. G - 1878 - 408 pages
...secant contained between the point and the parallels. 14. // two parallelograms are equal in area, and **have an angle of the one equal to an angle of the other,** then tfie sides which contain Vie angle of the first are the extremes of a proportion of which the... | |
| James Maurice Wilson - 1878
...have two adjacent sides of the one respectively equal to two adjacent sides of the other, and likewise **an angle of the one equal to an angle of the other** ; the parallelograms are identically equal. Part. En. Let A BCD, EFGH be two parallelograms which have... | |
| Āryabhaṭa - 1878
...equal (E. 1. 8). I PROP. xix. TIIEOIIEM. (E. 6. 14, 15). Equal triangles and parallelograms laving **an angle of the one, equal to an angle of the other,** have their sides about th« equal angles, reciprocally proportional. And conversely triangles and parallelograms... | |
| William Frothingham Bradbury - Geometry - 1880 - 260 pages
...we have AB:AG — AC:AH But by hypothesis AB : D F.= AC : DF THEOREM XXIV. 60i Two triangles having **an angle of the one equal to an angle of the other,** and the sides including these angles proportional, are similar. In the triangles ABC, DBF let the angle... | |
| District of Columbia. Board of Education - Education - 1881 - 314 pages
...TENTH GRADE. MAY itf. GEOMETRY AND TRIGONOMETRY. (Twenty credits.) 1. Theorem: — Two triangles having **an angle of the one equal to an angle of the other,** and the sides including these angles proportional, are similar. 2. If from the diagonal BD of a square... | |
| George Albert Wentworth - 1881 - 266 pages
...Wo'' A'B' ~ We'Hyp. Ax. 1 Since AE = A' B', Cons. PROPOSITION VI. THEOREM. 284. Two triangles having **an angle of the one equal to an angle of the other,** and the including sides proportional, are similar. A A' In the triangles ABC and A' B' C' let -. A'B'... | |
| Great Britain. Education Department. Department of Science and Art - 1882 - 512 pages
...same subject. The values attached to the questions differ little from one another. 1. Prove that two **triangles, which have an angle of the one equal to an angle of the other,** and the sides including the equal angles proportional, are similar. A diagonal of a parallelogram is... | |
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