 Two triangles are congruent if two sides and the included angle of the one are equal, respectively, to two sides and the included angle of the other.  Plane Geometry - Side 66av John Wesley Young, Albert John Schwartz - 1915 - 223 siderUten tilgangsbegrensning - Om denne boken
 | George Albert Wentworth - 1877 - 416 sider
...Z BCH=ZA + Z B. PROI-OSITION XXIII. THEOREM. 106. Two triangles are equal in all respects when two sides and the included angle of the one are equal respectively to two sides and the included angle of the other. D Ai In the triangles ABC and A' B' C', let AB = A' B', AC = A' C', ZA = Z A'. We are... | |
 | George Albert Wentworth - 1877 - 426 sider
...PROPOSITION XXIII. THEOREM. 106. Two triangles are equal in all respects when two sides and the iucluded angle of the one are equal respectively to two sides and the included angle of the other. C' B A' In the triangles ABC and A' B' C', let AB = A'B', AC= A' C',Z. A=Z. A'. We are... | |
 | George Albert Wentworth - 1877 - 416 sider
...С Б, AС=BС, СE=С E, Hyp. Iden. Cons. §106 (two A are equal when two sides and the included Z of the one are equal respectively to two sides and the included ¿ of the other). (being homologous A of equal &, ). a. E. o. PROPOSITION XXIX. THEOREM. 113. A straight... | |
 | Olaus Henrici - 1879 - 228 sider
...adjacent sides are equal, and if the angle between them is bisected by a diagonal (§ 172). This gives Theorem.: Two triangles are congruent if two sides and the included angle in the one are equal respectively to two sides and the included angle in the other. § 188. A quadrilateral... | |
 | Olaus Henrici - 1879 - 218 sider
...(§ 172). This gives Theorem : Two triangles are congruent if two 'sides and the included angle in the one are equal respectively to two sides and the included angle in the other. § 1 88. A quadrilateral is, thirdly, a kite, if one diagonal bisects the angles at the... | |
 | George Albert Wentworth - 1881 - 266 sider
...AC=BC, CE=CE, ZA CE = Z BСЕ; Hyp. Iden. Cons. §106 (two A are equal when two sides and the included Z of the one are equal respectively to two sides and the included Z of the other). (being homologous A of equal A ). QED Ex. If the equal sides of an isosceles triangle... | |
 | George Albert Wentworth - 1882 - 268 sider
...GEOMETRY. BOOK I. PROPOSITION XXIII. THEOREM. 106. Two triangles are equal in all respects when two sides and the included angle of the one are equal respectively to two sides and the included angle of the other. В AI la the triangles ABC and A' B' C', let AB = A' B', We are to prove Д AB С = Д... | |
 | George Bruce Halsted - 1886 - 394 sider
...angles of the one THEOREM VI. 124. Two triangles are congruent if two sides and the included angle in the one are equal respectively to two sides and the included angle in the other. « r B HYPOTHESIS. ABC and LMN two triangles, with AB = LM, BC = MN, VB = £ Af. CONCLUSION.... | |
 | George Albert Wentworth - 1888 - 264 sider
...hypotenuse and an acute angle of the other. PROPOSITION XXVI. THEOREM. 150. Two triangles are equal if two sides and the included angle of the one are...equal respectively to two sides and the included angle of the other. A ~ BDE In the triangles ABC and DEF, let AB = DE, AC = DF, To prove A ABC=A DEF. Proof.... | |
 | Edward Albert Bowser - 1890 - 420 sider
...triangle is two-thirds of a right angle. Proposition 2 1 . Theorem. 104. Two triangles are equal when two sides and the included angle of the one are equal respectively to two sides and the included angle of the other. Hyp. Let ABC, PEF be two CF A s, having AB = PE, AC = PF. To prove A ABC = A PEF. Proof.... | |
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