 | Seth Thayer Stewart - Geometry - 1891 - 428 pages
...TRIANGLES. SYNOPSIS.* SECTION I.— EQUAL TRIANGLES. 1O.>. i. DEFINITIONS. 2. PROPOSITIONS. PROP. I. 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, they are equal in all their parts.... | |
 | Seth Thayer Stewart - Geometry, Modern - 1891 - 422 pages
...equal to the given lines, and it is, therefore, the required triangle. PROPOSITION I. Theorem : // 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, they are equal in all their parts.... | |
 | University of the State of New York. Examination Department - Examinations - 1894 - 412 pages
...figure, sector, similar polygons. 2 Prove that if two triangles have two sides and the included angle of one respectively equal to two sides and the included angle of the other, the two triangles are equal in all their parts. 3 Prove that a line parallel to the base of a triangle... | |
 | Charles Ambrose Van Velzer, George Clinton Shutts - Geometry - 1894 - 416 pages
...in all respects. Ax. 12. Therefore, if two triangles have two sides and the included angle of one, equal to two sides and the included angle of the other, the two triangles are equal in all respects. PROPOSITION V. THEOREM . 63. // two triangles have two angles... | |
 | 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...two sides and the included angle of the other. the triangles are congruent. B A' Given To prove Proof. 1. the A ABC, A'B'C' such that AB=A'B', AC = A'C',... | |
 | 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...two sides and the included angle of the other, the triangles are congruent. Th. 2. If two triangles have two angles and the included side of the one respectively... | |
 | Adelia Roberts Hornbrook - Geometry - 1895 - 222 pages
...sides Homologous Sides. PRINCIPLE 24. — If two triangles have two sides and the included angle of one respectively equal to two sides and the included angle of the other, the triangles are equal in all their parts. E 120. AB and DE are each 8 centimeters ; AC and DF are each... | |
 | 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 of the one equal to two sides and the included angle of the other, each to each, the remaining parts are equal,... | |
 | 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... | |
 | 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... | |
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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. 
