 | Euclides - 1884 - 434 pages
...= 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... | |
 | University of Cambridge - 1884 - 624 pages
...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$... | |
 | Woolwich roy. military acad - 1884 - 148 pages
...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 pages
...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... | |
 | Dalhousie University - 1884 - 184 pages
...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... | |
 | Canada. Department of the Interior - 1888 - 756 pages
...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 - Euclid's Elements - 1888 - 208 pages
...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... | |
 | 1889 - 584 pages
...respectively equal they are similar, and those sides which are opposite to the equal angles are homologous. If two triangles have one angle of the one equal to one angle of the other, and a second angle of the one supplementary to a second angle of the other, then the sides about the third... | |
 | New Brunswick. Board of Education - Education - 1889 - 1004 pages
...and those which are opposite to the equal angles are homologous sides. 6. 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. N. В.- --Female candidates will... | |
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Equal parallelograms which have one angle of the one equal to one angle of the other, have their sides about the equal angles... 
