 | Robert Simson - 1804 - 530 pagine
...angle aiDef. «. GFL, and as BA to AE, fo ' is GF to FL. wherefore the two triangles B AE, GFL having one angle in one equal to one angle in the other, and the fides about the equal angles proportionals, are equiangularb; and therefore the angle AEB is equal... | |
 | John Playfair - 1806 - 320 pagine
...the other, have their sides about the equal angles reciprocally proportional ; and triangles which have one angle in one equal to one angle in the other, and their sides about the equal angles reciprocally proportional, are equal to one another. a 14. 1. 7.... | |
 | John Playfair - 1819 - 350 pagine
...the sides, &c. QED PROP. VI. THEOR. If two triangles have one angle of the one equal to one angle of the other, and the sides about the equal angles proportionals,...be equiangular, and shall have those angles equal which-are opposite to the homologous sides. Let the triangles ABC, DEF have the angle BAC in the one... | |
 | Robert Simson - 1827 - 546 pagine
...equal to the angle GFL, and as BA to AE, so is GF to FL : therefore the two triangles BAE, GFL having one angle in one equal to one angle in the other, and the sides nbout the equal angles proportionals, are equiangular; and therefore the angle AEB is equal to the... | |
 | Euclides - 1834 - 518 pagine
...equal to the angle GFL, and as BA to AE, so is GF to FL: therefore the two triangles BAE, GFL, having one angle in one, equal to one angle in the other,...and the sides about the equal angles proportionals, are equiangular ; and therefore the angle AEB is equal to the angle FLG : but AEB is * 21. S. equal*... | |
 | 1834 - 578 pagine
...demonstrated in treatises on geometry,* that 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 equiangular, and consequently similar ; we have seen that the two triangles A bc, A" F'E" are so... | |
 | John Playfair - 1835 - 336 pagine
...the triangle DEF. PROP. VI. THEOR. 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 eo/uiangulart and shall have those angles equal which are opposite to the homologous sides. Let the... | |
 | 1836 - 488 pagine
...opposite to the homologous sides. VI. 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 he equiangular, and shall have those angles equal which are opposite to the. homologous sides. VII.... | |
 | Euclides - 1838 - 264 pagine
...sides, &c. c- ED PROP. VI. THEOR. If two triangles haee 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 haee those angles equal which are opposite to the homologous sides. Let the triangles ABC, DEF have... | |
 | 1844 - 688 pagine
...angles in the alternate segments. 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. MECHANICS AND HYDROSTATICS. MONDAY, JANUARY 15. 9.. .12. MR. HATHIBON, TRINITY COLLEGE. Pint Division... | |
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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. 
