 | Wooster Woodruff Beman, David Eugene Smith - Geometry, Modern - 1899 - 265 pages
...other, they are similar. PLANE GEOMETRY. [BK. IV. 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. Given AA^Ci, A2B2C2, such that Z Cl =... | |
 | Wooster Woodruff Beman, David Eugene Smith - Geometry - 1899 - 400 pages
...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 - 340 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 - Boys - 1900 - 566 pages
...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 - 1164 pages
...to ensure the similarity of two rectilinear figures. Is there any exception t 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 shall be similar. 4. Shew how to find... | |
 | Euclid, Micaiah John Muller Hill - Euclid's Elements - 1900 - 165 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... | |
 | Thomas Franklin Holgate - Geometry - 1901 - 462 pages
...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 - 802 pages
...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,... | |
 | Eldred John Brooksmith - Mathematics - 1901 - 368 pages
...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 AOC, BOD intersect in 0 and the lines AB, CD are drawn. From the greater of the... | |
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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. 
