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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, each to each, the two triangles are equal in all respects.
Elements of Plane Geometry - Page 48
by Thomas Hunter - 1878 - 132 pages

## The New International Encyclopędia, 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...

## Biennial Report of the Superintendent of Public Instruction ..., Volumes 17-19

Education - 1904 - 948 pages
...axiom, supplementary angle. 2. Demonstrate: If two angles have two sides and the included angle of one equal to two sides and the included angle of the other, each to each, the triangles are equal in all respects. 3. Demonstrate: If a perpendicular be erected at the middle...

## Plane Geometry Suggestive Method

George Clinton Shutts - 1905 - 260 pages
...triangle, I/ PROPOSITION VII. 82. Theorem. // two triangles have two sides and the included angle of one, equal to two sides and the included angle of the other, each to each, the triangles are equal in all respects. CE Let ABC and DBF represent two triangles, in which AB is...

## 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...

## 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...

## 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...

## 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...

## Plane and Solid Geometry: Suggestive Method

George Clinton Shutts - Geometry - 1912 - 392 pages
...this theorem bear to the parallelogram ? PROPOSITION XXXVI. 143. THEOREM. Two parallelograms which have two sides and the included angle of the one equal to two sides and the included angle of the other respectively are congruent. D -- - — t D- c. and A'C', with AB = A'B', LA= L A' . To...