 | 1878 - 632 pagine
...supplement of double the angle AFD. 3. 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 to one another, and shall hare those angles equal which are opposite to the homologous sides. The point... | |
 | University of Oxford - 1879 - 414 pagine
...quindecagon in a given circle. 12. 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 to one another, and shall have those angles equal which are opposite to the homologous sides. II. Elements... | |
 | Isaac Todhunter - 1880 - 426 pagine
...sides &c. QED PBOPOSITION C. THEOREM. 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 to one another, and shall have those angles equal which are opposite to the homologous sides. Let the... | |
 | Elizabethan club - 1880 - 156 pagine
...meets shall touch the circle. 49 10. 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 to each other, and shall have those angles equal which are opposite to the homologous sides. The radius... | |
 | Woolwich roy. military acad, Walter Ferrier Austin - 1880 - 190 pagine
...three times the square on AB. 10. 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 are similar. If two chords AB, AC drawn from any point A in the circumference of the circle ABC, be... | |
 | Euclid, Isaac Todhunter - 1883 - 428 pagine
...sides &c. QED PROPOSITION 6. THEOREM. 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 to one another, and shall have those angles equal which are opposite to the homologous sides. Let the... | |
 | Woolwich roy. military acad - 1884 - 148 pagine
...the circle described about ACB. ro. 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 to one another, and shall have those angles equal which are opposite to the homologous sides. If APB... | |
 | Euclides - 1885 - 340 pagine
...in the other, have the sides about these angles reciprocally proportional. 2. Two triangles, which have one angle in one equal to one angle in the other, and the sides about these angles reciprocally proportional, are equal in area. Dem. — 1. Let the equal angles be so placed... | |
 | Euclid, John Casey - 1885 - 340 pagine
...one angle (C) in the other, have the sides about thete angles reciprocally pro2. Two triangles, which have one angle in one equal to one angle in the other, and the sides about these angles reciprocally proportional, are equal in area. Dem. — 1. Let the equal angles be so placed... | |
| |
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 to one another, and shall have those angles equal which are opposite to the homologous sides. 
