| Great Britain. Board of Education - 1900 - 531 Seiten
...smaller circle. 7. Define the terms submultiple, ratio, homologous, duplicate ratio. 8. 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 similar. In a given straight... | |
| M. J. M. HILL - 1900
...another triangle and the included angles are equal, then the triangles are similar. 29. 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 in such a manner that the sides opposite to... | |
| University of Toronto - 1901
...proportionals. 6. Parallelograms of the same altitude are to one another as their bases. (Eue. VI, 1.) 7. **Equal parallelograms, which have one angle of the...about the equal angles reciprocally proportional.** (Eue. VI, 14.) 8. APB is any chord of a given circle, drawn through the fixed point P. On AB is described... | |
| Thomas Franklin Holgate - 1901 - 440 Seiten
...right angle which make equal angles with one of the sides. MISCELLANEOUS EXERCISES 1. If two triangles **have one angle of the one equal to one angle of the other,** and a second angle of the one supplementary to a second angle of the other, then the sides about the... | |
| Macmillan & Co - 1901 - 776 Seiten
...addition, . a + b+e+ ... x+y+z+ ... or a:x 338 EUCLID'S ELEMENTS. PROPOSITION 6. THEOREM. 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 similar. In the A' BAG,... | |
| 1902
...pentagon is equal to the sum of a side and a diagonal of the smaller pentagon. 5. Equal triangles, **which have one angle of the one equal to one angle...about the equal angles reciprocally proportional.** 12, ABCD is a trapezium in which AB is parallel to and greater than DC, BD meets AC in E, and DF is... | |
| 1902
...line parallel to them cuts the other sides proportionally. 4. Triangles which are equal in area, and **which have one angle of the one equal to one angle of the other, have** the sides about the equal angles reciprocally proportional. The diagonals AC, BD of a quadrilateral... | |
| 1903
...right angles to the straight line joining the middle points of AD and BC. 3. Show that if two triangles **have one angle of the one equal to one angle of the other,** and the sides about another angle of each proportional, the sides opposite the equal angles being homologous,... | |
| Olaus Henrici, George Charles Turner - 1903 - 204 Seiten
...the theorem is that of Euc. VI. vi., from which the general case follows at once. " 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 similar." For if one triangle... | |
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