| 1899
...Shew that the area of the hexagon is threefourths that of the regular circumscribed hexagon. 3. If two **triangles have one angle of the one equal to one angle...about the equal angles proportionals, the triangles** are similar. If the perpendicular from the vertex of a triangle to the base falls within the triangle... | |
| Wooster Woodruff Beman, David Eugene Smith - Geometry - 1899 - 382 pages
...86, cor. 5, they can be proved to be mutually equiangular. 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, B, Given A AlBlCl, A2B2C2, such that Z... | |
| WPPSTER WOODRUFF BEMAN, DAVID EUGENE SMITH - 1899
...sides of the 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 = Z (72... | |
| Edinburgh Mathematical Society - Mathematics - 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.... | |
| Great Britain. Board of Education - Boys - 1900 - 531 pages
...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...equal angles proportionals, the triangles shall be** similar. In a given straight Hue PQ a point M is taken and PQ is produced to Ü so that MO is a mean... | |
| Great Britain. Board of Education - Education - 1900
...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...equal angles proportionals, the triangles shall be** similar. 4333. M In a given straight line PQ a point M is taken and PQ is produced to 0 so that MO... | |
| Great Britain. Parliament. House of Commons - Great Britain - 1900
...submultiple, ratio, homologous, duplicate ratio. 8. If two triangles have one angle of the one equal to on« **angle of the other, and the sides about the equal angles proportionals, the triangles shall** lx) similar. In a given straight line PQ a point M is taken and PQ is produced to 0 so that MO is a... | |
| 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... | |
| 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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