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Books Books 1 - 10 of 138 on Two triangles are congruent if two sides and the included angle of the one are equal,....  
" 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 66
by John Wesley Young, Albert John Schwartz - 1915 - 223 pages
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Elements of Plane and Solid Geometry

George Albert Wentworth - Geometry - 1877 - 402 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...
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Elements of Plane and Solid Geometry

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...
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Elements of Plane and Solid Geometry

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...
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Elementary geometry: congruent figures

Olaus Magnus F.E. Henrici - 1879
...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...
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Elementary Geometry: Congruent Figures

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...
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Elements of Geometry

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...
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Elements of Geometry

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...
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The Elements of Geometry

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....
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A Text-book of Geometry

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....
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The elements of plane and solid geometry: with numerous exercises

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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