| New Brunswick. Board of Education - 1889
...another are proportionals ; and those which are opposite to the equal angles are homologous sides. 6. **Equal parallelograms which have one angle of the one...about the equal angles reciprocally proportional.** N. В.- --Female candidates will receive credit for any correct work on questions 5 and 6 above. IF... | |
| E. J. Brooksmith - 1889
...a parallelogram ACBD ; bisect AC, BD, in E and F. Join DE, FC, cutting AB in G and H. n. 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. If ABC... | |
| Queensland. Department of Public Instruction - 1890
...segments of the base. What is the corresponding proposition for the external bisector ? 8. Triangles **which have one angle of the one equal to one angle of the other, have** to one another the ratio which is compounded of the ratios of the sides about the equal angles. 9.... | |
| Edward Mann Langley, W. Seys Phillips - 1890 - 515 Seiten
...of the other have their sides about the equal angles reciprocally proportional. (2) Conversely : — **Parallelograms which have one angle of the one equal to one angle of the other** and the sides about the equal angles reciprocally proportional are equal. (1) Let AB, BC be equal ||gms,... | |
| Euclid - 1890 - 400 Seiten
...= ac : aS. .-. A CSA is simr. to A cS a, by vi. 6. 254 Proposition 6. THEOREM — If two triangles **have one angle of the one equal to one angle of the other,** and the sides about these angles proportional, the triangles are similar ; and those angles which are... | |
| Eldred John Brooksmith, Robert Moir Milne - 1890 - 132 Seiten
...an equilateral triangle is one-third of that of any one of the escribed circles. 5. If two triangles **have one angle of the one equal to one angle of the other,** and the sides about two other angles proportionals ; then, if each of the remaining angles be either... | |
| 1891
...IM GEOMETRY. Time, 1 hr. SO mm. 1 or 2 and all the rest make a full paper. 1. («) 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 if the third angle in each be both acute, both... | |
| Euclid - 1892 - 518 Seiten
...angle of the other, have their sides about the equal angles reciprocally proportional: Conversely, **parallelograms which have one angle of the one equal to one angle of the other,** and the sides aboict these angles reciprocally proportional, are equal in area. AF G< 'C Let the par'"'... | |
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