 | James Howard Gore - 1898 - 232 σελίδες
...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 - 1899 - 272 σελίδες
...equal, respectively, to two angles of the other. 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. A' In the triangles ABC and A'B'C', let ZA = Z... | |
 | George Albert Wentworth - 1899 - 248 σελίδες
...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 - 1899 - 496 σελίδες
...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 - 1899 - 272 σελίδες
...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 - 1899 - 246 σελίδες
...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. Parliament. House of Commons - 1900 - 686 σελίδες
...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... | |
 | Great Britain. Board of Education - 1900 - 906 σελίδες
...long as CD. The diagonals AC, BD intersect at 0. Show that CO 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... | |
 | Great Britain. Board of Education - 1900 - 568 σελίδες
...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... | |
 | 1901 - 808 σελίδες
...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>... | |
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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 ABC and A'B'C', ZA = ZA'. To prove AABC = ABxAC. A A'B'C' A'B'xA'C'... 
