| George Bruce Halsted - 1886 - 366 pagina’s
...equal.) therefore, by 491, GH = BH'. In the same way HF = H'F', THEOREM VII. 511. Two triangles having **one angle of the one equal to one angle of the other,** and the sides about these angles proportional, are similar. HYPOTHESIS. £ B = $. G, and AB : BC :... | |
| Association for the Improvement of Geometrical Teaching - 1888
...intercepted between the sides of each triangle are equal to one another. THKOR. 3. If two triangles **have one angle of the one equal to one angle of the other** and the sides about these angles proportional, they are similar, and those angles which are opposite... | |
| New Brunswick. Board of Education - 1889
...and those which are opposite to the equal angles are homologous sides. 6. 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. N. В.- --Female candidates will... | |
| E. J. Brooksmith - 1889
...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.... | |
| Eldred John Brooksmith, Robert Moir Milne - 1890 - 132 pagina’s
...the line joining two alternate vertices of a given length. 7. Prove that 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. 8. In a right-angled triangle, show... | |
| Edward Mann Langley, W. Seys Phillips - 1890 - 515 pagina’s
...is a mean propi. between BC and CD, L BAC is double of L B. PROPOSITION 7. THEOREM. 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 acute,... | |
| Euclid - 1890 - 400 pagina’s
....-. a AC = a BF. (/3) is true. EUCLID Proposition 15. THEOREMS — (a) Triangles of equal area which **have one angle of the one equal to one angle of the other,** have their sides about the equal angles reciprocally proportional : (/3) and conversely, if two triangles... | |
| 1891
...and those which are opposite to the equal angles are homologous sides. 6. 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. NB — Female candidates will receive... | |
| New Brunswick. Department of Education - 1893
...IM GEOMETRY. Time, 1 hr. 30 min. 1 or 2 and all the rest make a full paper. 1. (a) 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,... | |
| |