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" If two triangles have two sides, and the included angle of the one equal to two sides and the included angle of the other, they are equal in all their parts. "
Mathematical Dictionary and Cyclopedia of Mathematical Science: Comprising ... - Page 281
by Charles Davies, William Guy Peck - 1872 - 592 pages
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Report of the Department of Education for the Year ...

Manitoba. Department of Education - Education - 1900 - 558 pages
...briefly the use of definitions, postulates and axioms, respectively, in the science of geometry. 2. If two triangles have two sides and the included angle of the one respectively equal to two sides and the included angle of the other the two triangles shall be equal...
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Elementary Geometry, Plane and Solid: For Use in High Schools and Academies

Thomas Franklin Holgate - Geometry - 1901 - 462 pages
...The theorem of Proposition IV may be divided into hypothesis and conclusion, thus : 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 triangles are...
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Surveying, Land Surveying, Mapping, Railroad Location, Railroad Construction ...

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...the one equal to two sides and the included angle of the other, the triangles are equal in all their parts. Thus, in the two triangles ABC and DEF, Fig....
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Mathematics, mechanics, heat

American School (Chicago, Ill.) - Engineering - 1903 - 390 pages
...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 all respects....
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The New International Encyclopædia, Volume 6

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 of the one respectively equal to two sides and the included angle of the other, the triangles are congruent, may...
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Plane Geometry Suggestive Method

George Clinton Shutts - 1905 - 260 pages
...defin1t1on. PROPOSITION XLVI. 153. Theorem. Two parallelograms which have two sides and the included angle of one equal to two sides and the included angle of the other, each to each, are equal in all respects. CD C' Let AD and A'D' represent two parallelograms in which AB is equal...
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Syllabus of Plane' Geometry: (corresponding to Euclid, Book I-VI) : Prepared ...

Cora Lenore Williams - Geometry - 1905 - 50 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 the...
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Manual of the Free High Schools of Wisconsin

Wisconsin. Department of Public Instruction - Education - 1906 - 124 pages
...plane equals four right angles. 3. Opposite or vertical angles are equal. 4. Two triangles having two sides and the included angle of the one equal to two sides and the included angle of the other are congruent. 5. Two triangles having one side and the two adjacent angles of one equal...
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Exercises in Concrete Geometry: With Supplementary Discussions

David Sands Wright - Geometry - 1906 - 104 pages
...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 the triangles...
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Plane Geometry Developed by the Syllabus Method

Eugene Randolph Smith - Geometry, Plane - 1909 - 204 pages
...the terms " proposition," " theorem," " problem." SECTION VIII. TRIANGLE THEOREMS 92. Theorem I. If two triangles have two sides and the included angle of the one respectively equal to two sides and the included angle of the other, the triangles are congruent. ANALYSIS...
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