 From 56 and 57 the pupils should learn that two triangles are equal in every respect (a) when two sides and the included angle of one are equal to two sides and the included angle of the other...  Plane and Solid Geometry - Page 62by William James Milne - 1899 - 384 pagesFull view - About this book
 | Education - 1866 - 446 pages
...the properties of triangles, viz : If two triangles have two sides and the included angle of the one equal to two sides .and the included angle of the other, each to each, the two triangles will be equal in every respect. The teacher draws the diagram on the board, and desires... | |
 | Charles Davies - Mathematics - 1867 - 186 pages
...in all their parts." Prop. V. " If two triangles have two sides and the included angle of the one, equal to two sides and the included angle of the other, each to each, the two triangles will be equal in all their parts." Axiom 1. "Things which are equal to the same thing,... | |
 | Benjamin Greenleaf - Geometry - 1868 - 340 pages
...equal to D F. Therefore the two triangles AGH, DEF, having two sides and the included angle of the one equal to two sides and the included angle of the other, each to each, are themselves equal (Prop. V. Bk. I.). But the triangle AGH is similar to ABC; therefore DEF is also... | |
 | Bernhard Marks - Geometry - 1869 - 170 pages
...DEMONSTRATION. We wish to prove, that, If two triangles have two sides, and the included angle of the one equal to two sides and the included angle of the other, each to each, the two triangles are equal in all respects. Let the triangles abe and d ef have the side ab of the... | |
 | Benjamin Greenleaf - 1869 - 516 pages
...equal to D F. Therefore the two triangles AGH, DEF, having two sides and the included angle of the one equal to two sides and the included angle of the other, each to each, are themselves equal (Prop. V. Bk. I.). But the triangle AGH is similar to ABC ; therefore DEF is also... | |
 | Bernard Marks - Geometry - 1871 - 172 pages
...DEMONSTRATION. We wish to prove, that, If two triangles have two sides, and the included angle of the one equal to two sides and the included angle of the other, each to each, the two triangles are equal in all respects. Let the triangles abc and d ef have the side ab of the... | |
 | Elias Loomis - Geometry - 1871 - 302 pages
...are equivalent. They are also equivalent, if they have two sides, and the included angle of the one, equal to two sides and the included angle of the other, each to nach ; or two angles and the included side of the one equal ID two angles and the included side of... | |
 | Edward Olney - Geometry - 1872 - 472 pages
...PROPOSITION XT. 301. Theorem. — Two parallelograms having two sides and the included angle of the one equal to two sides and the included angle of the other, each to each, are equal. DEM.— Let AC and EC be two parallelograms, with AD = EH, AB = EF, and A = E ; then are... | |
 | Edward Olney - 1872 - 270 pages
...TRIANGLES. PROPOSITION VI. 284. Theorem.— Two triangles which have two sides and the included angle of one equal to two sides and the included angle of the other, each to each, are equal. DEM.—Let ABC and DEF be two triangles, having AC = DF, AB = DE, and angle A = angle D;... | |
 | Charles Davies - Geometry - 1872 - 464 pages
...spherical triangles, on the same, or on equal spheres, have two sides and the included angle of the one equal to two sides and the included angle of the other, each to each, the remaining parts are equal, each to each. Let the spherical triangles ABC and EFG, have the side... | |
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