 | Euclid - 1835 - 540 σελίδες
...For the same reason, the angle ACB is equal to the angle DFE, and the angle at A, to the angle at D. Therefore, the triangle ABC is equiangular to the triangle DEF. Wherefore, " if the sides," &c. QED Hook VI. PROP. VI. THEOR. ' ' ' If two triangles have one angle of the one equal... | |
 | John Playfair - 1836 - 488 σελίδες
...angle BAC is g Hyp. equal to the angle EDF g ; wherefore also the remaining angle at B is equal to the remaining angle at E. Therefore the triangle ABC is equiangular to the triangle DEF. Wherefore, it two triangles, &c. QED PROP. VII. THEOR. If two triangles have one angle of the one equal to one... | |
 | 1836 - 472 σελίδες
...about the equal angles reciprocally proportional, are equal to one another. XV. 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... | |
 | John Playfair - 1836 - 114 σελίδες
...for the same reason the angle ACB is equal to the angle DFE, and the angle at A to the angle at D. Therefore the triangle ABC is equiangular to the triangle DEF. Wherefore, if the sides, &c. Q,. ED PROP. VII. THEOR. If two triangles have one angle of the one equal to one angle... | |
 | John Playfair - 1837 - 332 σελίδες
...the angle BAG is equal to the angle EDF (Hyp.) ; wherefore also the remaining angle at B is equal to the remaining angle at E. Therefore the triangle ABC is equiangular to the triangle DEF. PROP. VII. THEOR. If two triangles have one angle of the one equal to one angle of the other, and the... | |
 | Andrew Bell - 1837 - 240 σελίδες
...the angle BAC is equal to the angle EDF (Hyp.) ; wherefore also the remaining angle at B is equal to the remaining angle at E ; therefore the triangle ABC is equiangular to the triamrle DEF. PROPOSITION VII. THEOREM. If two triangles have one angle of the one equal to one angle... | |
 | Charles Reiner - 1837 - 246 σελίδες
...angles of the one are equal to the angles of the other, each to each. M. — Draw two triangles having one angle of the one equal to one angle of the other. P. — Let the angle bac be equal to the angle e df. ? M. — If the angle bac be equal to the angle... | |
 | Robert Simson - 1838 - 434 σελίδες
...the angle BAC is equal to the angle EDF (Hyp.) ; wherefore also the remaining angle at B is equal to the remaining angle at E. Therefore the triangle ABC...the triangle DEF. Wherefore, if two triangles, &c, (JED PROP. VII. THEOR. IF two triangles have one angle of the one equal to one angle of the other,... | |
 | Euclides - 1838 - 264 σελίδες
...similar reason, the angle ACB is equal to the angle DFE, and therefore the angle A to the angle D: therefore the triangle ABC is equiangular to the triangle DEF. Wherefore, if the sides, &c. c- ED PROP. VI. THEOR. If two triangles haee one angle of the one equal to one angle... | |
 | Euclides - 1841 - 378 σελίδες
...for the same reason, the angle ACB is equal to the angle DFE, and the angle at A to the angle at D: therefore the triangle ABC is equiangular to the triangle DEF. Wherefore, if the sides, &c. QED PROP. VI THEOR. I f two triangles have one angle of the one equal to one angle of... | |
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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, and shall have those angles equal which are opposite to the homologous sides. 
