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 - Page 66by John Wesley Young, Albert John Schwartz - 1915 - 223 pagesFull view - About this book
| George Albert Wentworth - Geometry - 1877 - 398 pages
...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 - Geometry - 1877 - 398 pages
...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 - Geometry - 1877 - 398 pages
...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 - Congruences (Geometry) - 1879 - 188 pages
...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 - Congruences (Geometry) - 1879 - 188 pages
...(§ 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 - Geometry, Plane - 1881 - 250 pages
...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 - Geometry, Plane - 1882 - 250 pages
...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 - Geometry - 1886 - 366 pages
...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 - Geometry - 1888 - 386 pages
...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 - Geometry - 1890 - 393 pages
...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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