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Books Books 71 - 80 of 123 on If two triangles have two sides, and the included angle of the one equal to two sides....  
" 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 - 1872
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The Colliery engineer pocket-book of principles rules, formulæ, and tables ...

Thomas J. Foster - Coal mines and mining - 1891 - 415 pages
...opposite or vertical angles are equal. 4. If two angles have their sides parallel they are equal. 5. If two triangles have two sides and the included angle...the one, equal to two sides and the included angle of the other, they are equal in all their parts. If two triangles have two angles and the included...
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Plane and Solid Geometry

Seth Thayer Stewart - Geometry - 1891 - 406 pages
...equal to the given lines, and it is, therefore, the required triangle. PROPOSITION I. 122. Theorem : // two triangles have two sides and the included angle of the one equal to two sides and the included anyle of the other, each to each, they are equal in all their parts. Statement : Let the two triangles...
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The Elements of Physics

Henry Smith Carhart, Horatio Nelson Chute - Physics - 1892 - 382 pages
...triangles .4KB and A'KB, we have the angles at A' equal, and hence right angles, and AK= A'K, since the triangles have two sides, and the included angle of the one equal to the corresponding parts of the other. dicular to MN, and A' is as far back of MN as A is in front....
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Plane and Solid Geometry: Suggestive Method

Charles Ambrose Van Velzer, George Clinton Shutts - Geometry - 1894 - 395 pages
...C. PROPOSITION XLII. THKOREM. 127. Two parallelograms which have two tides and the included angle of one equal to two sides and the included angle of the other, each to each, are equal in aU respect*. I) Let AD and A' D' represent, two parallelograms in whicli AB equal* A'...
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Geometry for Grammar Schools

Ephraim Hunt - Geometry - 1894 - 99 pages
...ABC and DEF are equal in all respects. Because, (1) We have made two sides and the included angle of one equal to two sides and the included angle of the other, each to each. (2) Put the vertex D upon vertex A; side DE upon side AB, and as they are equal, the point E will fall...
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Plane and Solid Geometry

Wooster Woodruff Beman, David Eugene Smith - Geometry - 1895 - 320 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 - 320 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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Elementary solid geometry and mensuration

Henry Dallas Thompson - Geometry, Solid - 1896 - 199 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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The Elements of Geometry

Henry W. Keigwin - Geometry - 1897 - 227 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 - 354 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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