 | John Wesley Young, Albert John Schwartz - Geometry, Modern - 1915 - 248 pages
...THEOREMS 189. THEOREM. Two triangles are congruent if two angles and the included side of the one are equal, respectively, to two angles and the included side of the other. Given To prove Proof. 1. 2. 3. 4. 5. the A ABC and A'B'C', with ZB = Z B', side BC = side B'C', and... | |
 | Webster Wells, Walter Wilson Hart - Geometry - 1916 - 490 pages
...be true about all triangles made according to the directions given ? PROPOSITION II. THEOREM 67. If two triangles have two angles and the included side...included side of the other, the triangles are congruent. c A. BDE • Hypothesis. In A ABC and A DEF : AB = DE; ZA=^D; ZB=ZE. Conclusion. A ABC ^ A DEF. Proof.... | |
 | John Charles Stone, James Franklin Millis - Geometry - 1916 - 298 pages
...BC), determined the distance AP of a ship from shore by means of the congruence of triangles having two angles and the included side of one equal respectively...to two angles and the included side of the other. They measured Z 1 and /. 2. Explain how they were then able to mark off a distance on the shore equal... | |
 | Edith Long, William Charles Brenke - Geometry, Modern - 1916 - 292 pages
...Theorem VI. If two triangles have two angles and the included side of the one respectively equal to the two angles and the included side of the other, the triangles are congruent. Isosceles Triangles. Equilateral Triangles. Definition. Theorem VII. In an isosceles triangle the angles... | |
 | Edith Long, William Charles Brenke - Geometry, Plane - 1916 - 292 pages
...figures have both the same shape and the same size. 31. Theorem VI. Two triangles are congruent if they have two angles and the included side of one, equal respectively to the two angles and the included side of the other. A, Given A ABC and A AiBiCi such that side c = side... | |
 | John H. Williams, Kenneth P. Williams - Geometry, Solid - 1916 - 184 pages
...in the reverse order. 790. THEOREM. // two spherical triangles on the same sphere, or equal spheres, have two angles and the included side of one equal, respectively, to a side and two adjacent angles of the other, 1. They are equal if the equal parts occur in the same... | |
 | Edith Long, William Charles Brenke - Geometry, Modern - 1916 - 292 pages
...figures have both the same shape and the same size. 31. Theorem VI. Two triangles are congruent if they have two angles and the included side of one, equal respectively to the two angles and the included side of the other. Given A ABC and A AiBid such that side c = side... | |
 | Norwood Press - Printers - 1916 - 470 pages
...equal spheres, are either congruent or symmetric, if two angles and the included side of the one are equal, respectively, to two angles and the included side of the other. [Proceed as in § 872.] [303] From Ford and Ammtrman's " Solid Gtomtlry." By permission of The Macmillan... | |
 | Education - 1917 - 786 pages
...respectively to two sides and the included angle of the other 2. If two angles and the included side are equal respectively to two angles and the included side of the other. 3. If the three sides of one are equal respectively to the three sides of the other IV. Two right triangles... | |
 | Ernst Rudolph Breslich - Logarithms - 1917 - 408 pages
...angle of the other, arranged in the reverse order. 2. // two angles and the included side of one are equal respectively to two angles and the included side of the other, arranged in the reverse order. Let AABC and A'B'C', Fig. 225, be the given triangles. Draw AA"B"C"... | |
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If two triangles have two angles and the included side of one equal respectively to two angles and the included side of the other, the triangles are congruent. 
