 | Claude Irwin Palmer, Daniel Pomeroy Taylor - Geometry - 1918 - 460 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 following statement expresses the result of this... | |
 | Claude Irwin Palmer - Geometry, Solid - 1918 - 192 pages
...corresponding sides are equal and the corresponding angles are equal. § 23. Experiment. 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 equal. § 25. Construction. To construct a triangle when the three... | |
 | Herbert Ellsworth Slaught - 1918 - 344 pages
...5 = £ 6, and C'B'= CB. That is, we have found by measurement that if two triangles are drawn with two sides and the included angle of one equal, respectively, to two sides and the included angle of the other, the remaining pairs of corresponding parts are equal. If we could prove that this statement... | |
 | Herbert Ellsworth Slaught, Nels Johann Lennes - Geometry, Plane - 1918 - 360 pages
...5 = Z. 6, and C"B'= CB. That is, we have found by measurement that if two triangles are drawn with two sides and the included angle of one equal, respectively, to two sides and the included angle of the other, the remaining pairs of corresponding parts are equal. If we could prove that this statement... | |
 | William Ledley Vosburgh - 1919 - 332 pages
...overturning. These three statements are the postulates of motion. § 108. THEOREM I.* // two triangles have two sides and the included angle of one equal respectively to two sides and the included angle of the other, the two triangles are congruent. On a piece of tracing paper draw a straight line ; on... | |
 | 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
...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... | |
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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 equal. 
