| Wooster Woodruff Beman, David Eugene Smith - Geometry - 1895 - 320 pages
...parallel or perpendicular to the sides of the other, they are similar. (Why ?) Theorem 9. 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^d, A2B2C2, such that ZG! = Z... | |
| 1895
...Being given a side of a regular pentagon, construct it. 4. Triangles which are equal in area, and which **have one angle of the one equal to one angle of the other,** have their sides about the equal angles reciprocally proportional. Describe an isosceles triangle equal... | |
| Wooster Woodruff Beman, David Eugene Smith - Geometry, Plane - 1899 - 252 pages
...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. C, Given A A1B^i, AJB^C2, such that Z... | |
| Wooster Woodruff Beman, David Eugene Smith - Geometry - 1899 - 382 pages
...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
...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.... | |
| University of Toronto - 1900
...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... | |
| Great Britain. Board of Education - Boys - 1900 - 531 pages
...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... | |
| Euclid, Micaiah John Muller Hill - Euclid's Elements - 1900 - 143 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... | |
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