| Great Britain. Education Department. Department of Science and Art - 1899 - 348 Seiten
...AB in D and AC in E, so that DP may be a fourth part of PE. Dl 44. Prove that equal triangles, which **have one angle of the one equal to one angle of the other,** have the sides about the equal angles reciprocally proportional ; and state and prove the converse... | |
| Great Britain. Board of Education - 1900 - 906 Seiten
...inscribed in the 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. 4333. M In a given straight... | |
| Great Britain. Board of Education - 1900 - 566 Seiten
...inscribed in the 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 Hue... | |
| University of Toronto - 1900 - 1158 Seiten
...the other, have their sides about the equal angles reciprocally proportional ; and 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. Use this proportion... | |
| Euclid, Micaiah John Muller Hill - 1900 - 190 Seiten
...about the equal angles reciprocally proportional, are equal in area. 49. (i) Equal triangles which **have one angle of the one equal to one angle of the other** have their sides about the equal angles reciprocally proportional. (ii) Triangles which have one angle... | |
| Micaiah John Muller Hill - 1900 - 165 Seiten
...PROPOSITION XLVIII. (i). (Euc. VI. 14, 1st Part.) ENUNCIATION. Parallelograms having equal areas and having **one angle of the one equal to one angle of the other** have the sides about the equal angles reciprocally proportional. Let the two parallelograms be placed... | |
| Macmillan & Co - 1901 - 776 Seiten
...; .:, by 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, EOF, let... | |
| Thomas Franklin Holgate - 1901 - 462 Seiten
...vertex of the 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 third... | |
| Eldred John Brooksmith - 1901 - 368 Seiten
...diameters. 10. Describe a circle about a given equilateral and equiangular pentagon. 11. Triangles which **have one angle of the one equal to one angle of the other and the** sides about the equal angles reciprocally proportional, are equal to one another. , Two straight lines... | |
| 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 of the other,** have their sides about the equal angles reciprocally proportional. 12, ABCD is a trapezium in which... | |
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