 | Evan Wilhelm Evans - 1884 - 170 pàgines
...DE, AC = DF, and BC > EF; then, A > D. If A = D what? If A < D what? THEOREM XVIII. If two triangles have two angles, and the included side of the one...and the included side of the other, each to each, they are equal throughout. Let ABC, DEF, be two triangles having the angles A and B respectively equal... | |
 | Charles Davies, Adrien Marie Legendre - 1885 - 538 pàgines
...to be proved. PROPOSITION IX. THEOREM. // two spherical triangles on the same, or on equal spheres, have two angles and the included side of the one equal...and the included side of the other, each to each, the remaining Ix1rts are equal, each to each. Let the spherical triangles ABC and EFG, on the sphere... | |
 | Charles Davies - 1886 - 352 pàgines
...equal parts will coincide. THEOREM V. If two triangles have two angles and the included side of tne one, equal to two angles and the included side of the other, each to each, the two triangles will be equal. Let the two triangles ABC and DEF have the angle A equal to the angle... | |
 | New York (State). Department of Public Instruction - 1887 - 268 pàgines
...postulate. 2. State the conditions under which two triangles are equal. Prove that if two triangles have two angles and the included side of the one equal...and the included side of the other, each to each, the triangles will be equal in all their parts. 8. Construct a triangle, when the altitude, the vertical... | |
 | James Wallace MacDonald - 1889 - 80 pàgines
...equal. Proposition XXVII. A Theorem. 64. If two triangles have two angles and the included side of one equal to two angles and the included side of the other, each to each, the other homologous parts are equal, and the triangles are equal. Proposition XXVIII. A Theorem. 65.... | |
 | James Wallace MacDonald - 1894 - 76 pàgines
...equal. Proposition XXVII. A Theorem. 64. If two triangles have two angles and the included side of one equal to two angles and the included side of the other, each to each, the other homologous parts are equal, and the triangles are equal. Proposition XXVIII. A Theorem. 65.... | |
 | Seth Thayer Stewart - 1891 - 428 pàgines
...Conclusion : / 2 3 and 4 5 6 being any two triangles, etc. PROPOSITION II. 183. Theorem : // two triangles have two angles and the included side of the one equal...and the included side of the other, each to each, they are equal in all their parts. 1 4 Statement : Let the two triangles / 2 3 and 456 have the angle... | |
 | Seth Thayer Stewart - 1891 - 426 pàgines
...each other, and, also, the angles / and 4. (BOOK i., PROP, xvi.) The triangles AEB and HEC, having two angles and the included side of the one equal...and the included side of the other, each to each, are equal. (BOOK n., PROP, n.) The sides AE and EC, opposite the equal angles 2 and 5, are, therefore,... | |
 | Seth Thayer Stewart - 1891 - 428 pàgines
...2 3 and 456 being any two triangles, etc. PROPOSITION II. 123. Theorem : // two triangles have two and the included side of the one equal to two angles...and the included side of the other, each to each, they are equal in all their parts. 1 Statement : Let the two triangles / 2 3 and 456 have the angle... | |
 | Henry Smith Carhart, Horatio Nelson Chute - 1892 - 400 pàgines
...A'BK. .-. ABN=A'BN. The angle A CK = SCN = A'CK. Hence, the triangles ABC and A' BO are equal, for they have two angles, and the Included side of the one equal to the corresponding parts of the other, and therefore AB = A'B. Comparing the triangles AKB and A'KB,... | |
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If two triangles have two angles and the included side of the one, equal to two angles and the included side of the other, each to each, the two triangles will be equal. 
