 | University of Glasgow - 1883 - 438 pages
...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 - 86 pages
...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 - 376 pages
...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 - 148 pages
...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 - 356 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... | |
 | Royal Military College, Sandhurst - Mathematics - 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... | |
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If two triangles have one angle of the one equal to one angle of the other and the sides about these equal angles proportional, the triangles are similar. 
