| Thomas Franklin Holgate - Geometry - 1901 - 460 pages
...equal, respectively, to two angles of the other, the triangles are similar. § 250. (3) If two triangles **have an angle of one equal to an angle of the other,** and the sides including these angles proportional, the triangles are similar. § 251. (4) If the ratios... | |
| Education - 1902 - 942 pages
...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 AB is parallel to and greater than DC, BD meets AC in E, and DF is... | |
| 1902 - 482 pages
...same altitude are to one another as their bases. 5. Equal parallelograms which nave an angle of the **one equal to an angle of the other, have their sides about** those angles reciprocally proportional. 6. Describe a rectilineal figure which shall be similar to... | |
| John Alton Avery - Geometry, Modern - 1903 - 136 pages
...triangle, a smaller triangle is formed similar to the given triangle. THEOREM V 164. If two triangles **have an angle of one equal to an angle of the other,** and the including sides proportional, the triangles are similar. Hyp. In the A RST and R'S'T', let... | |
| James McMahon - Geometry, Plane - 1903 - 380 pages
...Similarly, it may be proved that B"C" = B'C'. Two sides and included angle. 44. THEOREM 10. If two triangles **have an angle of one equal to an angle of the other,** and the sides about these angles proportional, then the triangles are similar. Let the triangles ABC... | |
| American School (Chicago, Ill.) - Engineering - 1903 - 392 pages
...A', and ^^_ = — — A. 1 1 ./Y li Therefore the triangles ABE and A' B' E' are similar, for they **have an angle of one equal to an angle of the other,** and the sides including these angles proportional (Theorem LIII). Again, since the polygons are similar,... | |
| University of Sydney - 1904 - 680 pages
...respectively measure 1 ft. and " ft. 1 in. 7. 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.** 8. Find the weight of a conical piece of metal, whose height is 3 ft., and the radius of its base 2... | |
| Euclid - Euclid's Elements - 1904 - 488 pages
...14. THEOREM. Parallelograms 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.** Conversely, parallelograms which have one angle of the one equal to one angle of the other, and the... | |
| Fletcher Durell - Geometry, Plane - 1904 - 382 pages
...is similar to A ABC). Art. 306. Art. 101. Ax. 8. QED PROPOSITION XVII. THEOREM 327. If two triangles **have an angle of one equal to an angle of the other,** and the including sides proportional, the triangles are similar. Given the A ABC and A'B'C', in which... | |
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