| Herbert Ellsworth Slaught, Nels Johann Lennes - Geometry, Plane - 1910 - 300 pages
...length AB is found by measuring A 'B'. PLANE GEOMETRY 35. Second Test for Congruence of Triangles. //' two triangles have two angles and the included side...included side of the other, the triangles are congruent. This is shown by tho following argument : AB A' B' Let ABC and A'B'C' be two triangles in which ZA... | |
| Herbert Ellsworth Slaught, Nels Johann Lennes - Geometry, Plane - 1910 - 304 pages
...follow that they are equal? Congruent ? PLANE GEOMETRY. 35. Second Test for Congruence of Triangles. //' two triangles have two angles and the included side...included side of the other, the triangles are congruent. This is shown by the following argument : C C' AB A' B' Let ABC and A'B'C' be two triangles in which... | |
| William Herschel Bruce, Claude Carr Cody (Jr.) - Geometry, Modern - 1910 - 284 pages
...VII. THEOREM. 94. Tivo triangles are congruent if they have two angles and the included side of the one equal, respectively, to two angles and the included side of the other (reciprocal of § 91). AB A' - B' Given As ABC and A'B'C', having AB = A'B', £ A = £ A', and 4 B... | |
| George Albert Wentworth, David Eugene Smith - Geometry, Plane - 1910 - 287 pages
...PROPOSITION III. THEOREM 72. 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 the triangles ABC and XYZ, with angle A equal to angle X, angle B equal to angle Y, and with... | |
| Herbert Ellsworth Slaught, Nels Johann Lennes - Geometry, Solid - 1911 - 208 pages
...given angles A, B, C in § 261 ? Compare Ex. 1, § 260. 265. THEOREM. Two spherical triangles having two angles and the included side of one equal respectively to two angles and the included side of the other are congruent, if the given equal j'jarfe are arranged in the same order, and symmetrical, if arranged... | |
| Clara Avis Hart, Daniel D. Feldman - Geometry, Modern - 1911 - 328 pages
...PROPOSITION II. THEOREM 105. Two triangles are equal if two angles and the included side of one are equal respectively to two angles and the included side of the other. B Given A ABC and DEF, AC=DF, Z 4 = Z D, and To prove A ABC = A DEF. ARGUMENT 1. Place A ABC upon A... | |
| David Eugene Smith - Geometry - 1911 - 370 pages
...protractor. 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. Euclid combines this with his Proposition 26 : If two triangles have the two angles equal to two angles... | |
| William Herschel Bruce, Claude Carr Cody - Geometry, Solid - 1912 - 134 pages
...of the other. 94. Two triangles are congruent if they have two angles and the included side of the one equal, respectively, to two angles and the included side of the other. 95. Two right triangles are congruent if a leg and an adjacent acute angle of the one are equal, respectively,... | |
| Clara Avis Hart, Daniel D. Feldman - Geometry - 1912 - 504 pages
...PROPOSITION II. THEOREM 105. Two triangles are equal if two angles and the included side of one are equal respectively to two angles and the included side of the other. Given A ABC and DEF, AC = DF, Z To prove A ABC=:A DEF. ARGUMENT L Place A ABC upon A DEF so that AC... | |
| George Albert Wentworth, David Eugene Smith - Geometry - 1913 - 496 pages
...an isosceles triangle the angles opposite the equal Another Case of Congruence. Suppose that these two triangles have two angles and the included side...to two angles and the included side of the other; that is, suppose that c and c = c'. A. o B A' c' 3' Ask the student to consider the general appearance... | |
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