 | Henry Smith Carhart, Horatio Nelson Chute - Physics - 1892 - 400 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.... | |
 | Wooster Woodruff Beman, David Eugene Smith - Geometry - 1895 - 344 pages
...ruler ; then consider on what previous work the statements to be proved depend. TRIANGLES. Theorem 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. B... | |
 | Wooster Woodruff Beman, David Eugene Smith - Geometry - 1895 - 346 pages
...kind 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.... | |
 | 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...the one equal to two sides and the included angle of the other, each to each, the remaining parts are equal, each to each, and the triangles are equal.... | |
 | 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.... | |
 | Andrew Wheeler Phillips, Irving Fisher - Geometry - 1897 - 374 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.... | |
 | Henry W. Keigwin - Geometry - 1897 - 254 pages
...the 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 / " \... | |
 | Andrew Wheeler Phillips, Irving Fisher - Geometry - 1897 - 376 pages
...AC=AC, . 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.... | |
 | International Correspondence Schools - Surveying - 1898 - 518 pages
...large, 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,... | |
 | Arthur A. Dodd, B. Thomas Chace - Geometry - 1898 - 468 pages
...conclusion, or that which we wish to prove must follow from the facts admitted by the hypothesis; eg: 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. What is known,... | |
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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. 
