| University of Glasgow - 1883
...square. What is the ratio of the radins of the circle to the side of the second square ? 12. Prove that **if two triangles have one angle of the one equal to one** angle of the other, and the sides about the equal angles proportional, the triangles are similar. 14.... | |
| Mathematical association - 1883
...they are similar, and those angles which are opposite to the homologous sides are equal. THEOR. 5. **If two triangles have one angle of the one equal to one** angle of the other, and the sides about one other angle in each proportional, so that the sides opposite... | |
| Euclides, James Hamblin Smith - 1883
...shew that the lines BC, be divide each other in reciprocal proportion. And Conversely, Trianyks, which **have one angle of the one equal to one of the other,** and their sides about the equal angles reciprocally proportional, are eqiud to one another. Let the... | |
| Woolwich roy. military acad - 1884
...produced, such that the angle ECD is equal to CED, CD will touch the circle described about ACB. ro. **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... | |
| Euclides - 1884 - 434 pages
...construction : From AB cut off AO = HE, and through G draw OH || SC, meeting ACiAH. 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, they shall be similar, those angles... | |
| Canada. Department of the Interior - 1888 - 756 pages
...figures. 13. Triangles and parallelograms having equal bases are to one another as their altitudes. 14. **If two triangles have one angle of the one equal to one** angle of tho other, the triangles are to each other in the ratio of the rectangles under the sides... | |
| E. J. Brooksmith - Mathematics - 1889 - 354 pages
...produced, such that the angle ECD is equal to CED, CD will touch the circle described about ACB. 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... | |
| Eldred John Brooksmith, Robert Moir Milne - 1890 - 144 pages
...circle inscribed in 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... | |
| |