| J. G - 1878
...the quadrilateral, in which case it is equal to that sum. " 23." 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... | |
| University of Madras - 1879
...IV. In a given circle inscribe an equilateral and equiangular quindecagon. V. 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... | |
| Isaac Sharpless - 1879 - 266 pagina’s
...DEF are also equiangular, and therefore (V. 4) similar. Proposition 6. Theorem.—If two triangles **have one angle of the one equal to one angle of the other,** and the sides about (he equal angles proportional, the triangles will be similar. Let the triangles... | |
| University of Oxford - 1879
...the other, have their sides about the equal angles reciprocally proportional ; and triangles which **have one angle of the one equal to one angle of the other,** and their sides about the equal angles reciprocally proportional, are equal to one another. II. Elements... | |
| Euclides, James Hamblin Smith - 1879
...proportion being DR is to BE as GB is to BF. PROPOSITION XIV. THEOREM. Eq'ual parallelograms, which **have one angle of the one equal to one angle of the** ntlur, have thtir sides about the equal angles reciprocally proportional. \ \ \ Let AB, BC be equal... | |
| Isaac Todhunter - 1880 - 400 pagina’s
...their angles equal. VI. 7. In VI. 7 the enunciation is imperfect ; it should be, " if two triangles **have one angle of the one equal to one angle of the other,** and the sides about two other angles proportionals, so that the sides subtending the equal angles are... | |
| Woolwich roy. military acad, Walter Ferrier Austin - 1880
...the segments BG, GD, GC of the base shall be in harmonical proportion. 12. 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. ALGEBRA. 1. Prove that se и х... | |
| Elizabethan club - 1880
...square on the line which meets it, the line which 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,... | |
| GEORGE BRUCE HALSTED - 1881
...both sides of a rectangle from their ratio m : n, and its area R. \mR Ans. n \ m 521. If two triangles **have one angle of the one equal to one angle of the other,** and the sides about a second angle in each equal, then the third angles will be either equal or supplemental.... | |
| Simon Newcomb - 1881 - 399 pagina’s
...such sides is equal to the rectangle of the sides of the parallelogram. THEOREM 8. If two triangles **have one angle of the one equal to one angle of the other,** and the perpendiculars from the other two angles upon the opposite sides proportional, they are similar.... | |
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