 | Fletcher Durell - Geometry, Plane - 1904 - 382 pages
...its equal A AFH is similar to A ABC). Art. 306. Art. 101. Ax. 8. QED PROPOSITION XVII. THEOREM 327. If two triangles have an angle of one equal to an angle of the other, and the including sides proportional, the triangles are similar. Given the A ABC and A'B'C', in which... | |
 | Fletcher Durell - Geometry, Solid - 1904 - 232 pages
...are similar. 326. // two triangles have their homologous sides proportional they are similar. 327. // two triangles have an angle of one equal to an angle of the other, and the including sides proportional, the triangles are similar. 328. // two triangles have their sides... | |
 | George Albert Wentworth - Geometry - 1904 - 496 pages
...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 ADE have the common angle A. A ABC AB X AC To prove that Proof. Now A ADE... | |
 | Walter Nelson Bush, John Bernard Clarke - Geometry - 1905 - 378 pages
...circles is a mean proportional between their diameters. XVI. GROUP ON AREAL RATIOS PROPOSITIONS XVI. 1. If two triangles have an angle of one equal to an angle of the other, they are to each other as the rectangles of the sides respectively including the equal angles. A c... | |
 | George Clinton Shutts - 1905 - 260 pages
...squares. Ex. 211. To construct a triangle similar to a given triangle having a given perimeter. Ex. 212. If two triangles have an angle of one equal to an angle of the other, the ratio of their areas equals the ratio of the products of the sides including the equal angles.... | |
 | Education - 1922 - 948 pages
...of the circle to A and C; draw OD J.AC; since <B = <AOD, \ve may apply to AsABC and AOD the theorem: If two triangles have an angle of one equal to an angle of the other, the ratio of their areas equals the ratio of the products of the sides including this angle. Hence... | |
 | Education - 1921 - 970 pages
...HS, Chicago using the theorem: two triangles having an angle "f one equal to an agle of the other are to each other as the products of the sides including the equal angles; and by .\'. Anning, Ann Arbor. Mich., using BD/DC = ABDA/AADO = ABDO/AODC = ABOA/ AAOC; CE/EA ,= ACOB/ABOA;... | |
 | Yale University. Sheffield Scientific School - 1905 - 1074 pages
...similar triangle is 1o in. What is the area of the second triangle? 6. The areas of two triangles which have an angle of one equal to an angle of the other are to each other as the products of the sides including the equal angles. 7. When is a circle said... | |
 | Edward Rutledge Robbins - Geometry, Plane - 1906 - 268 pages
...Area ABCD = \ h - (6 + c) = h - \ (6 + c). But l (6 + c) = median (144). PLANE GEO.METRY 388. THEOREM. If two triangles have an angle of one equal to an angle of the other, they are to each other as the products of the sides including the equal angles. Given: A ABC and DEF,... | |
 | Isaac Newton Failor - Geometry - 1906 - 431 pages
...PROPOSITION VII. THEOREM 414 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. HYPOTHESIS. The & ABC and ADE have the /. A common. CONCLUSION. AABC = AB x AC A ADE ADxAE PROOF Draw... | |
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If two triangles have an angle of one equal to an angle of the other, and... 
