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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
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Plane and Solid Geometry

Wooster Woodruff Beman, David Eugene Smith - Geometry - 1895 - 346 pages
...are called reciprocal. The relation is more clearly seen by resorting to parallel columns. Th. 1. 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. Th....
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Plane and Solid Geometry

Wooster Woodruff Beman, David Eugene Smith - Geometry - 1895 - 344 pages
...reciprocal. The relation is more clearly seen by resorting to parallel columns. 22 TRIANGLES. Th. 1. 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. Th....
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Geometry for Grammar Schools

Ephraim Hunt - Geometry - 1896 - 120 pages
...be drawn between two points. The angles opposite the equal sides are equal. Therefore, CASE I. When two triangles have two sides and the included angle...and the included angle of the other, each to each, the remaining parts are equal, each to each, and the triangles are equal. Make any A AB C. Extend the...
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Elementary Solid Geometry and Mensuration

Henry Dallas Thompson - Geometry, Solid - 1896 - 226 pages
...triangle be supplementary, the vertex of the triangle lies on a fixed great circle. 26. If two spherical 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 or symmetrical....
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Elements of Geometry

Andrew Wheeler Phillips, Irving Fisher - Geometry - 1897 - 376 pages
.... Hyp. AX=AX, Iden. angle C4^T= angle C'AX. Cons. Hence triangle /4 CX— triangle A C'X. 78 [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.] Hence XC=XC....
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The Elements of Geometry

Henry W. Keigwin - Geometry - 1897 - 254 pages
...greater quantity last. a > 6 ) a> b'\ TRIANGLES. INTERSECTING LINES. PROPOSITION I. THEOREM. 44. 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. X / " \...
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Elements of Geometry

Andrew Wheeler Phillips, Irving Fisher - Geometry - 1897 - 370 pages
...AC=AC, Hyp. ^4^f=^4^r, Iden. angle CAX= angle C'^4^T. Cons. Hence triangle ACX= triangle ACX. 78 [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.] Hence XC=XC....
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A Textbook on Surveying and Mapping ...: Arithmetic, formulas, geometry and ...

International Correspondence Schools - Surveying - 1898 - 518 pages
...may be readily found by multiplying the known volume by () ' = j^. SURVEYING. GEOMETRY. 118O. 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,...
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Plane and Solid Geometry: Inductive Method

Arthur A. Dodd, B. Thomas Chace - Geometry - 1898 - 490 pages
...steps in the following demonstration: DEMONSTRATION OF PROP. I. (MODEL FOR PUPILS.) /. Theorem. If any 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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Surveying, land surveying, mapping, railroad location, railroad construction ...

International Correspondence Schools - Civil engineering - 1899 - 814 pages
...Stations, - - 1274 Coaling Stations, ... - 1281 Turntables, - - - 1285 SURVEYING. GEOMETRY. 1 1 8O. 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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