If two triangles have two sides, and the included angle of the one equal to two sides and the included angle of the other, each to each, the two triangles are equal in all respects. An Elementary Geometry - Page 11by William Frothingham Bradbury - 1872 - 110 pagesFull view - About this book
| Thomas Franklin Holgate - Geometry - 1901 - 462 pages
...to notice the relation between the last two propositions. Proposition IV may be stated : HYPOTHESIS. If two triangles have two sides and the included angle of the one equal, respectively, to two sides and the included angle of the other, CONCLUSION. Then the base and... | |
| Daniel Coit Gilman, Harry Thurston Peck, Frank Moore Colby - Encyclopedias and dictionaries - 1903 - 1072 pages
...proposition is transformed into another through the interchange of a pair of elements; eg the proposition, If two triangles have two sides and the included angle...two sides and the included angle of the other, the triangles are congruent, may be transformed by the interchange of the words sides and angles into another... | |
| James McMahon - Geometry, Plane - 1903 - 380 pages
...sides and included angle. 64. THEOREM 10. // two triangles have two sides and the included angle of one respectively equal to two sides and the included angle of the other, the triangles are equal. Let the triangles ABC and A'B'C' have the sides AB, AC, and the angle BAC, respectively... | |
| American School (Chicago, Ill.) - Engineering - 1903 - 390 pages
...to the sum of the two opposite interior angles, as angle BCD = angle A + angle B. THEOREM XVII. 77. If two triangles have two sides and the included angle of the one equal respectively to two sides and the included angle of the other, the two triangles are equal in... | |
| International Correspondence Schools - Cartography - 1903 - 846 pages
...Stations, - - - 1274 Coaling Stations, - - - 1281 Turntables, . - . . 1285 SURVEYING. GEOMETRY. 1 18O. If two triangles have two sides and the included angle of the one equal to two sides and the included angle of the other, the triangles are equal in all their parts.... | |
| Fletcher Durell - Geometry, Solid - 1904 - 232 pages
...isosceles triangle are equal; Two triangles are equal if two sides and the included angle of one are equal to two sides and the included angle of the other; The sum of the angles of a triangle equals two right angles; Two mutually equiangular triangles are similar.... | |
| Fletcher Durell - Geometry, Plane - 1904 - 382 pages
...isosceles triangle are equal; Two triangles are equal if two sides and the included angle of one are equal to two sides and the included angle of the other; The sum of the angles of a triangle equals two right angles; Two mutually equiangular triangles are similar.... | |
| Fletcher Durell - Geometry - 1911 - 553 pages
...isosceles triangle are equal; Two triangles are equal if two sides and the included angle of one are equal to two sides and the included angle of the other; The sum of the angles of a triangle equals two right angles; Two mutually equiangular triangles are similar.... | |
| Cora Lenore Williams - Geometry - 1905 - 56 pages
...triangle; of four angles, a tetragon; of five angles, a pentagon; of six, a hexagon; etc. Theor. B. If two triangles have two sides and the included angle of the one equal respectively to two sides and the included angle of the other, the triangles are congruent. (If... | |
| David Sands Wright - Geometry - 1906 - 104 pages
...to test the equality or similarity of its parts. It is illustrated in the following demonstration : If two triangles have two sides and the included angle of the one equal respectively to two sides and the included angle of the other, the triangles are equal. Given... | |
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