| Eldred John Brooksmith - Mathematics - 1901 - 368 pages
...given circle an equilateral and equiangular hexagon. 10. Two obtuse.angled triangles have one acute **angle of the one equal to an angle of the other, and the sides** about the other acute angle in each proportionals ; prove that the triangles are similar. 11. Prove... | |
| Arthur Schultze, Frank Louis Sevenoak - Geometry - 1901 - 396 pages
...equivalent to the sum of three given squares. PROPOSITION XV. THEOREM 369. H4e areas of two triangles which **have an angle of the one equal to an angle of the other** are to each other as the products of the sides including the equal angles. D A' D. G' Hyp. In triangles... | |
| Arthur Schultze, Frank Louis Sevenoak - Geometry - 1902 - 394 pages
...equivalent to the sum of three given squares. PROPOSITION XV. THEOREM 369. The areas of two triangles which **have an angle of the one equal to an angle of the other** are to each other as the products of the sides including the equal angles. D c A' D' Hyp. In triangles... | |
| Arthur Schultze, Frank Louis Sevenoak - Geometry - 1901 - 394 pages
...equivalent to the sum of three given squares. PROPOSITION XV. THEOREM 369. llie areas of two triangles which **have an angle of the one equal to an angle of the other** are to each other as the products of the sides including the equal angles. ADC A' D' Hyp. In triangles... | |
| Arthur Schultze - 1901 - 260 pages
...equivalent to the sum of three given squares. PROPOSITION XV. THEOREM 369. The areas of two triangles which **have an angle of the one equal to an angle of the other** are to each other as the products of the sides including the equal angles. D a B' A' D' Hyp. In triangles... | |
| Thomas Franklin Holgate - Geometry - 1901 - 460 pages
...same base and an equal altitude. (Art. 295.) PROPOSITION IV 308. The areas of two triangles having **an angle of the one equal to an angle of the other** are in the same ratio as the products of the sides containing the equal angles. BC Let BAC and B'AC'... | |
| George Albert Wentworth - Geometry, Solid - 1902 - 246 pages
...each other as the products of their bases by their altitudes. 410. The areas of two triangles which **have an angle of the one equal to an angle of the other** are to each other as the products of the sides including the equal angles. 412. The areas of two similar... | |
| 1902 - 482 pages
...triangles of the 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... | |
| James McMahon - Geometry, Plane - 1903 - 380 pages
...sides of the other. [Show that the triangles are halves of mutually equiangular parallelograms. ] Ex. **If two triangles have an angle of the one equal to an angle of the other, and** if the including sides are respectively as 1 : 3 and 1 : 4, show that the first triangle is one twelfth... | |
| 1903 - 898 pages
...inclined to Oil. Show that PQ is always parallel to a fixed straight line. 6. If two triangles have one **angle of the one equal to an angle of the other, and the sides** about those equal angles proportional, show that the triangles are similar. 7. A HC is an isosceles... | |
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