 | Great Britain. Board of Education - 1900 - 531 σελίδες
...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... | |
 | Micaiah John Muller Hill - 1900 - 143 σελίδες
...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 σελίδες
...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 σελίδες
...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 - 236 σελίδες
...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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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. 
