 | Arthur Schultze - 1901 - 260 σελίδες
...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... | |
 | Arthur Schultze, Frank Louis Sevenoak - 1901 - 394 σελίδες
...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, Frank Louis Sevenoak - 1901 - 396 σελίδες
...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 - 1902 - 394 σελίδες
...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... | |
 | Eldred John Brooksmith - 1901 - 368 σελίδες
...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.... | |
 | Thomas Franklin Holgate - 1901 - 462 σελίδες
...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 - 1902 - 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... | |
 | 1902 - 482 σελίδες
...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 - 1903 - 382 σελίδες
...[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... | |
 | University of St. Andrews - 1903 - 762 σελίδες
...consecutive rays are given. 4. Define reciprocally proportional, and prove thai parallelograms which have an angle of the one equal to an angle of the other and their sides about the equal angles reciprocally proportional are equal in area. TP and TQ are tangents... | |
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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'... 
