| Wooster Woodruff Beman, David Eugene Smith - Geometry - 1899 - 400 pages
...parallel or perpendicular to the sides of the other, they are similar. PROPOSITION XVIII. 264. Theorem. **If two triangles have one angle of the one equal to one angle of the other, and** the including sides proportional, the triangles are similar. A, Bi Given A AiBiCi, A^B2C^, such that... | |
| Edinburgh Mathematical Society - Electronic journals - 1899 - 342 pages
...joined, the triangles EAB, DAC are halves of the parallelograms BE, CD. Hence, Two triangles which **have one angle of the one equal to one angle of the other** have to each other the same ratio as the rectangles contained by the sides about the equal angles.... | |
| Great Britain. Board of Education - Education - 1900 - 906 pages
...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... | |
| Great Britain. Board of Education - Boys - 1900 - 568 pages
...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... | |
| University of Toronto - 1900 - 1160 pages
...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 - Euclid's Elements - 1900 - 190 pages
...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... | |
| Euclid, Micaiah John Muller Hill - Euclid's Elements - 1900 - 165 pages
...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... | |
| Thomas Franklin Holgate - Geometry - 1901 - 460 pages
...the 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... | |
| Macmillan & Co - Textbooks - 1901 - 804 pages
...; .:, 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,... | |
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