 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'...  An Elementary Treatise on Plane and Solid Geometry - Page 148by Benjamin Peirce - 1837 - 159 pagesFull view - About this book
 | 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... | |
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...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... | |
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...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... | |
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...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... | |
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...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, 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. 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... | |
 | Great Britain. Board of Education - Boys - 1900 - 566 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... | |
 | 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... | |
 | 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... | |
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