 | University of Glasgow - 1883 - 438 σελίδες
...EBC together make up a right angle. 4. Inscribe u circle in a given triangle. 5. Parallelograms that have one angle of the one equal to one angle of the other, and their, sides about the equal angles reciprocally proportional, are equal to one another. 6. Simplify... | |
 | Euclid, Isaac Todhunter - 1883 - 426 σελίδες
...therefore the remaining angle at B is equal to the remaining angle at E. Therefore the triangle AEG is equiangular to the triangle DEF. Wherefore, if two triangles &c. QED PROPOSITION 1. THEOREM. If two triangles have one angle of the one equal to one angle of the other,... | |
 | Woolwich roy. military acad - 1884 - 148 σελίδες
...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 - 610 σελίδες
...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... | |
 | University of Cambridge - 1884 - 624 σελίδες
...exterior angle made by producing one of the sides through the vertex. 9. Equal parallelograms, which have one angle of the one equal to one angle of the other, have their sides about the equal angles reciprocally proportional. WEDNESDAY, December 5, 1883. 12$... | |
 | Dalhousie University - 1884 - 184 σελίδες
...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 - 434 σελίδες
...= 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... | |
 | Canada. Department of the Interior - 1888 - 756 σελίδες
...figures. 13. Triangles and parallelograms having equal bases are to one another as their altitudes. 14. If two triangles have one angle of the one equal to one angle of tho other, the triangles are to each other in the ratio of the rectangles under the sides containing... | |
 | Association for the Improvement of Geometrical Teaching - 1888 - 208 σελίδες
...GH. Therefore AB : CD : : EF : GH. IV. 14, Part ii. QED THEOR. 14. If two triangles or parallelograms have one angle of the one equal to one angle of the other, their areas have to one another the ratio compounded of the ratios of the including sides of the first... | |
| |
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 equiangular, and shall have those angles equal which are opposite to the homologous sides. 
