 | Fletcher Durell - Geometry - 1911 - 553 pages
...instead of from A. and D, COMPARISON OF POLYGONS PROPOSITION VIII. THEOREM 39 7 . If two triangles have an angle of one equal to an angle of the other, their areas are to each other as the products of the sides including the equal angles. Given the A... | |
 | Fletcher Durell - Geometry, Solid - 1904 - 232 pages
...two triangles are to each other as the products of their bases and altitudes. 397. // two triangles have an angle of one equal to an angle of the other, their areas are to each other as the products of the sides including the equal angles. 398. The areas... | |
 | Fletcher Durell - Geometry, Plane - 1904 - 382 pages
...instead of from . I and /•'. COMPARISON OF POLYGONS PROPOSITION VIII. THEOBEM 397. If two triangles have an angle of one equal to an angle of the other, their areas are to each other as the products of the sides including the equal angles. A Given the... | |
 | Education - 1879 - 928 pages
...of the one equal to two angles of the other; Two triangles are similar If they have an angle of the one equal to an angle of the other and the including sides proportional ; Two triangles are similar If they have their sides respectively proportional." These basic principles... | |
 | Cora Lenore Williams - Geometry - 1905 - 50 pages
...Prop. 110. Mutually equiangular triangles are similar. Prop. 111. If two triangles have an angle of the one equal to an angle of the other, and the including sides proportional, they are similar. Prop. 112. If two triangles have their corresponding sides proportional, they are... | |
 | Education - 1907 - 880 pages
...of the one equal to two angles of the other; Two triangles are similar if they have nn angle of the one equal to an angle of the other and the including sides proportional ; Two triangles are similar if they have their sides respectively proportional." These basic principles... | |
 | Walter Nelson Bush, John Bernard Clarke - Geometry - 1905 - 378 pages
...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... | |
 | 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... | |
 | Education - 1922 - 948 pages
...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... | |
 | George Clinton Shutts - 1905 - 260 pages
...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.... | |
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... they have an angle of one equal to an angle of the other and the including sides are proportional; (c) their sides are respectively proportional. 
