| 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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