 | 1883
...proportion. When is a straight line said to be cut in extreme and mean ratio ? 14. Equal triangles which have one angle of the one equal to one angle of the other, have their sides about the equal angels reciprocally proportional ; and triangles which have one angle... | |
 | Simon Newcomb - 1881 - 399 sider
...the other two angles each equal to its supplement. I "i 1 . Corollary 2. If two parallelograms Itave one angle of the one equal to one angle of the other, all the remaining angles of the one will be equal to the corresponding angles of the other. 125. Corollary... | |
 | John Robertson (LL.D., of Upton Park sch.) - 1882
...describe a circle about a given square. 11. Define equal triangles, and prove that ifequal triangles have one angle of the one equal to one angle of the other, then the sides about the equal angles are reciprocally proportional. 12. Show that the linos which... | |
 | University of Glasgow - 1883
...ratio of the radins of the circle to the side of the second square ? 12. Prove that if two triangles have one angle of the one equal to one angle of the other, and the sides about the equal angles proportional, the triangles are similar. 14. One of the parallel sides... | |
 | Mathematical association - 1883
...similar, and those angles which are opposite to the homologous sides are equal. THEOR. 5. If two triangles have one angle of the one equal to one angle of the other, and the sides about one other angle in each proportional, so that the sides opposite the equal angles are... | |
 | Euclid, Isaac Todhunter - 1883 - 400 sider
...parallelogram BC. [V. 9. Wherefore, equal parallelograms &c. QED PROPOSITION 15. THEOREM. Equal triangles which have one angle of the one equal to one angle of the other, have their fides about the equal angles reciprocally proportional; and triangles which have one angle... | |
 | Dalhousie University - 1884
...about the angles of two triangles are proportional, the triangles -are equiangular. 8. Equal triangles that have one angle of the one -equal to one angle of the other, have the sides about the equal angles reciprocally proportional. Extend the enunciation, shewing why... | |
 | Euclides - 1884
...= ir BC: ir FE; • ||m AB : ||m FE = ir BC: r FE; PROPOSITION 15. THEOREMS. 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. Conversely : Triangles which have... | |
 | Woolwich roy. military acad - 1884
...in E, shew that AB touches the circumscribing circle of the triangle CDE. 10. 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 ; and triangles which have one angle... | |
 | 1884
...a given circle. Inscribe a regular figure of ten sides in a given circle. 3. 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. If one of the said sides in the... | |
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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. 
