 | Elias Loomis - Conic sections - 1858 - 256 pages
...triangles have two angles, and the included side of the one, equal to two angles and the included side of the other, each to each, the two triangles will be equal, the other sides will be equal, each to each, and the third angle of the one to the third angle of the... | |
 | Benjamin Greenleaf - Geometry - 1862 - 518 pages
...EG, FH, will be alternate interior angles, and therefore equal. Hence, the two triangles EFG, FGH, have a side and the two adjacent angles of the one...the two adjacent angles of the other, each to each ; therefore these triangles are equal (Prop. VI.) ; hence the side EG, which measures the distance... | |
 | Benjamin Greenleaf - Geometry - 1862 - 532 pages
...II, •will be alternate interior angles, and therefore equal. Hence, the two triangles EFG, FG II, have a side and the two adjacent angles of the one...the two adjacent angles of the other, each to- each; therefore these triangles are equal (Prop. VI.) ; hence the side EG, which measures the distance of... | |
 | Benjamin Greenleaf - Geometry - 1861 - 638 pages
...EG, FII, will bo alternate interior angles, and therefore equal. Ilcnce, the two triangles EFG, FGH, have a side and the two adjacent angles of the one...to a side and the two adjacent angles of the other, eacli to each ; therefore these triangles are equal (Prop. VI.) ; hence the side EG, which measures... | |
 | Benjamin Greenleaf - Geometry - 1863 - 504 pages
...EG, FH, will be alternate interior angles, and therefore equal. Hence, the two triangles EFG, FGH, have a side and the two adjacent angles of the one...the two adjacent angles of the other, each to each ; therefore these triangles are equal (Prop. VI.) ; hence the side EG, which measures the distance... | |
 | Eli Todd Tappan - Geometry, Modern - 1864 - 288 pages
...— Two triangles are equal when they have one side and two adjacent angles of the one, respectively equal to a side and the two adjacent angles of the other. If the triangles ABC and DEF have the side AC equal to DE, and the angle A equal to D, and C equal... | |
 | Education - 1866 - 446 pages
...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 the class to choose what two... | |
 | Charles Davies - Mathematics - 1867 - 186 pages
...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, are equal to each other." Axiom 10 (of Legendre).... | |
 | Benjamin Greenleaf - Geometry - 1868 - 340 pages
...EG, FH, will be alternate interior angles, and therefore equal. Hence, the two triangles EFG, FGH, have a side and the two adjacent angles of the one...the two adjacent angles of the other, each to each ; therefore these triangles are equal (Prop. VI.) ; hence the side EG, which measures the distance... | |
 | Eli Todd Tappan - Geometry - 1868 - 432 pages
...— Two triangles are equal when they have one side and two adjacent angles of the one, respectively equal to a side and the two adjacent angles of the other. If the triangles ABC and DBF have the side AC equal to DE, and the angle A equal to D, and C equal... | |
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FGH, have a side and the two adjacent angles of the one equal to a side and the two adjacent angles of the other, each to each ; therefore these triangles are equal (Prop. 
