 If two spherical triangles on the same sphere, or equal spheres, have two sides and the included angle of one equal, respectively, to two sides and the included angle of the other, I.  Solid Geometry - Page 396by John H. Williams, Kenneth P. Williams - 1916 - 162 pagesFull view - About this book
 | Marie Gugle - Mathematics - 1920 - 268 pages
...Which parts were these? ะจ. Theorem on Congruence of Triangles 1. Are any two triangles congruent which have two sides and the included angle of one equal respectively to two sides and the included angle of the other? Reply to this question by changing it into a statement. 2. This statement is the first... | |
 | Edson Homer Taylor, Fiske Allen - Mathematics - 1923 - 104 pages
...quote some truth already stated and agreed upon. 16. Complete proof of Theorem I. If two triangles have two sides and the included angle of one equal respectively to two sides and the included angle of the other, the triangles are congruent. Given &ABC and AXYZ, having /.A = ZX, AB = XY, AC = XZ.... | |
 | Claude Irwin Palmer, Daniel Pomeroy Taylor, Eva Crane Farnum - Geometry, Modern - 1924 - 360 pages
...triangles equal? Place the triangle ABC on Fig. 3 so that AC coincides with DF. Triangles ABC and DEF have two sides and the included angle of one. equal respectively to two sides and the included angle of the other. Are these two triangles equal? The result of this experiment can be stated as a theorem,... | |
 | David Eugene Smith - Geometry, Solid - 1924 - 256 pages
...Proposition 8. Two Sides and Included Angle 251. Theorem. If two triangles on the same sphere or on equal spheres have two sides and the included angle of one equal respectively to the corresponding parts of the other, the triangles are either congruent or symmetric. Given ABC and... | |
 | Winona Merle Perry - Geometry - 1925 - 80 pages
...Corresponding sides in equal triangles. Right angles are equal. Common (or identical). If two triangles have two sides and the included angle of one equal respectively to two sides and included angle of the other, the triangles are equal. Construction. If two triangles have two angles... | |
 | Michigan Schoolmasters' Club - Education - 1913 - 304 pages
...citizenship which is always needed and appreciated. The first theorem we have is : Two triangles having two sides and the included angle of one equal respectively to two sides and the included angle of the other are equal in all respects. The day it is assigned as the lesson I repeat it once and ask... | |
 | William Betz, Harrison Emmett Webb, Percey Franklyn Smith - Geometry, Plane - 1912 - 356 pages
...axiom may be stated thus : PROPOSITION II. THEOREM SECOND TRIANGLE CONGRUENCE 134. If two triangles have two sides and the included angle of one equal respectively to two sides and the included angle of the other, the triangles are congruent, (sas) Given the triangles ABC and DBF, in which AB equals... | |
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