| Mathematics - 1898 - 228 pages
...given line at a given point B, and prove the construction correct. 5. 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 those angles. (B) 1. The shadow cast on level... | |
| James Howard Gore - Geometry - 1898 - 232 pages
...Compare area of AliE, BEFand. FEC, EDC. PROPOSITION VII. THEOREM. 261. The areas of two triangles having **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. . Let ABC and ADE be two... | |
| George Albert Wentworth - Geometry, Solid - 1899 - 248 pages
...right triangles are similar if an acute angle of the one is equal to an acute angle of the other. 357. **If two triangles have an angle of the one equal to an angle of the other, and the** including sides proportional, they are similar. 358. If two triangles have their sides respectively... | |
| George Albert Wentworth - Geometry - 1899 - 500 pages
...respectively, to two angles of the other. BOOK III. PLANE GEOMETRY. PROPOSITION XVIII. THEOREM. 357. **If two triangles have an angle of the one equal to an angle of the other, and the** including sides proportional, they are similar. In the triangles ABC and A'B'CT, let ^ A = ^ A', and... | |
| George Albert Wentworth - Geometry - 1899 - 496 pages
...the polygon. 190 AREAS OF POLYGONS. PROPOSITION VII. THEOREM. 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. Let the triangles ABC and... | |
| George Albert Wentworth - Geometry, Modern - 1899 - 272 pages
...of the polygon. AREAS OF POLYGONS. PROPOSITION VII. THEOREM. 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. Let the triangles ABC and... | |
| George Albert Wentworth - Geometry, Solid - 1899 - 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... | |
| Great Britain. Board of Education - Boys - 1900 - 568 pages
...three times as long as CD. The diagonals AC, BD intersect at 0. Show that CO is a quarter of С A. V. **Two triangles have an angle of the one equal to an angle of the other, and the sides** about those angles proportionals. Prove the triangles similar. VI. AB is a tangent to a circle and... | |
| Great Britain. Parliament. House of Commons - Great Britain - 1900 - 686 pages
...three times as long as CD. The diagonals AC, Bl) intersect at 0. Show that (70 is a quarter of CA . V. **Two triangles have an angle of the one equal to an angle of the other, and the sides** about those angles proportionals. Prove the triangles similar. VI. AB is a tangent to a circle and... | |
| Education - 1901 - 808 pages
...в equal and parallel to a given straight line ; if A(f he bisected in fí, find the locus of R. 6. **If two triangles have an angle of the one equal to an angle .of the other, and the sides** about the equal angles proportionals, the triangles shall he similar. 13_ In the side ЛГ> of the... | |
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