 | George Albert Wentworth - Geometry - 1877 - 416 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 - 426 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 - 416 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... | |
 | George Albert Wentworth - Geometry, Modern - 1881 - 266 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, Modern - 1882 - 268 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 Albert Wentworth - Geometry - 1888 - 264 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 - 420 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.... | |
 | Edward Albert Bowser - Geometry - 1890 - 418 pages
...rectangle are equal. Proposition 35. Theorem. 135. Two parallelograms are equal when two_ adjacent sides and the included angle of the one are equal respectively to two adjacent sides and the included angle of the other. Hyp. Let ABCD, A'B'C'D' be two , having AB = A'B',... | |
 | Edward Albert Bowser - Geometry - 1891 - 424 pages
...angles are complementary. Proposition 21. Theorem. 104. Two triangles are equal when two sides and tht included angle of the one are equal respectively to two sides and the included angle of the other. Hyp. Let ABC, DEF be two As, having AB = DE, AC = DF. ZA=ZD. To prove A ABC = A DEF.... | |
 | William C. Bartol - Geometry, Solid - 1893 - 106 pages
...angles of a triangle is equal to two right angles. 355. 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. 356. Two triangles are equal when a side and two adjacent angles of the one are respectively... | |
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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 (sas = sas). Hyp. In A ABC and A'B'C', AB = A'B', BC = B'C', and Z B = Z B'. 
