| 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
...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
...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... | |
| M. J. M. HILL - 1900
...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 - 440 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 - 776 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
...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... | |
| Education - 1902
...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... | |
| University of St. Andrews - 1903
...reciprocally proportional, and prove thai parallelograms which have an angle of the one equal to an **angle of the other and their sides about the equal angles reciprocally proportional are equal** in area. TP and TQ are tangents to a circle whose centre is C, CT meets PQ in N and the circle in A... | |
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