 | Robert Potts - 1868 - 434 pages
...PEOPOSITION IV. THEOREM. The sides dbmtt the equal angles of equiangular triangles tire proportionals ; and those which are opposite to the equal angles are...are the antecedents or consequents of the ratios. Let ABC, DCE\>e equiangular triangles, having the angle ABC equal to the angle DCE, and the angle ACB... | |
 | Euclid - 1868 - 138 pages
...уыг>íaç, «ai ofio\oyoi al inrb тàç laaç yuivíaç viroriívovaai ir\ivpaí. The sides about the equal angles of equiangular triangles are proportional;...which are opposite to the equal angles are homologous. Statement. — Let ABC and DCE be equiangular triangles, having the angle ABC equal to the angle DCE,... | |
 | Euclides - 1874 - 342 pages
...PROPOSITION 4.— Theorem. The sides about the equal angles of equiangular triangles are proportionals ; and those which are opposite to the equal angles are...are the antecedents or consequents of the ratios. Let ABC, DCE be equiangular triangles, having the angle ABC equal to the angle DCE, and the angle ACB... | |
 | Braithwaite Arnett - 1874 - 130 pages
...sides about the equal angles of triangles which are equiangular to one another are proportionals ; and those which are opposite to the equal angles are...homologous sides, that is, are the antecedents or the consequents of the ratios. The diameter AB of a circle is produced to 6', and through C the line... | |
 | 1876 - 586 pages
...— BE2=AB.BE + AB2. 3. The sides about the equal angles of equiangular triangles are proportionals ; and those which are opposite to the equal angles are...are the antecedents or consequents of the ratios. The straight line which bisects the exterior angle A of the triangle ABC cuts the base В С produced... | |
 | Robert Potts - Geometry - 1876 - 446 pages
...PROPOSITION IV. THEOREM. The siaes alout the equal angles of equiangular triangles are proportionali ; and those which are opposite to the equal angles are...sides, that is, are the antecedents or consequents oj the ratios, Let ABC, DCE be equiangular triangles, having the angle ABC equal to the angle DCE,... | |
 | Euclides, James Hamblin SMITH - 1876 - 382 pages
...sides about the equal angles of triangles, which are equiangular to one another, are proportionals ; and those which are opposite to the equal angles, are homologous sides. Let ABC, DEF be two A s, having the is at A, B, C equal to the L a at D, E, F respectively. Then must... | |
 | Isaac Todhunter - Euclid's Elements - 1880 - 426 pages
...The sides about the equal angles of triangles which are equiangular to one another are proportionals; and those which are opposite to the equal angles are...homologous sides, that is, are the antecedents or the consequents of the ratios. Let the triangle A BC\>e equiangular to the triangleZ>CZ7, having the... | |
 | James Russell Soley - Naval education - 1880 - 346 pages
...The sides about the equal angles of triangles which are equiangular to one another are proportionals, and those which are opposite to the equal angles are...homologous sides; that is, are the antecedents or the consequents of the ratios. Similar polygons may be divided into the same number of similar triangles,... | |
 | Woolwich roy. military acad, Walter Ferrier Austin - 1880 - 190 pages
...sides about the equal angles of triangles which are equiangular to one another are proportionals ; and those which are opposite to the equal angles are...homologous sides, that is, are the antecedents or the consequents of the ratios. The chords AB and CD in the circle ABCD are produced towards B and D... | |
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The sides about the equal angles of equiangular triangles are proportionals ; and those which are opposite to the equal angles are homologous sides, that is, are the antecedents or consequents of the ratios Let ABC, DCE, be equiangular triangles, having... 
