 | William James Milne - 1899 - 258 σελίδες
...to their altitudes. § 336 c. To the products of their bases by their altitudes. § 336 d. If they have an angle of one equal to an angle of the other, to the products of the sides including the equal angles. § 340 e. If they are similar triangles, to... | |
 | Harvard University - 1899 - 39 σελίδες
...respectively equal to two angles of the other, the triangles are similar. THEOREM III. 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. THEOREM IV. If two triangles... | |
 | George Albert Wentworth - 1899 - 498 σελίδες
...polygon. 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 us the products of the sides including the equal angles. Let the triangles ABC and ADE have the common... | |
 | George Albert Wentworth - 1899 - 248 σελίδες
...of its bases multiplied by the altitude. 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 polygons are... | |
 | Charles Austin Hobbs - 1899 - 266 σελίδες
...each other as the products of the sides including the supplementary angles. Ex. 540. If two triangles have an angle of one equal to an angle of the other, and a second angle of one supplementary to a second angle of the other, the sides about the third angles... | |
 | Arthur Schultze, Frank Louis Sevenoak - 1902 - 394 σελίδες
...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 ABC and A'B'C',... | |
 | Arthur Schultze, Frank Louis Sevenoak - 1901 - 396 σελίδες
...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 ABC and A'B'C',... | |
 | Arthur Schultze - 1901 - 260 σελίδες
...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 ABC and A'B'C',... | |
 | Thomas Franklin Holgate - 1901 - 462 σελίδες
...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... | |
 | Arthur Schultze - 1901 - 392 σελίδες
...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. B' ADC A' D' C' Hyp. In triangles ABC and... | |
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If two triangles have an angle of one equal to an angle of the other... 
