 | John Alton Avery - Geometry, Modern - 1903 - 136 pages
...is 30, the altitude is 5, and one base is 8. Find the other base. THEOREM IX 192. // two triangles have an angle of one equal to an angle of the other, the ratio of the areas of the triangles equals the ratio of the products of the sides including the... | |
 | 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... | |
 | 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 - 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... | |
 | 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.... | |
 | 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... | |
 | 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... | |
 | David Sands Wright - Geometry - 1906 - 104 pages
...are similar if — 1. They are mutually equiangular. 2. Their homologous sides are proportional. 3. They have an angle of one equal to an angle of the other, and the sides including the equal angles are proportional. 4. The homologous sides are parallel. 5. The homologous sides are... | |
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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. 
