 | Charles Davies - Geometry - 1855 - 340 pages
...applied the one to the other, the equal parts will coincideTHEOREM VIf two 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 equalLet the two triangles ABC and DEF have the angle A equal... | |
 | Elias Loomis - Conic sections - 1858 - 256 pages
...angle of the one, equal to two sides and the included angle of the other, each to each ; or two angles and the included side of the one, equal to two angles and the included side of the other PROPOSITION XVI. THEOREM. In an isosceles spherical triangle, the angles opposite the equal sides are... | |
 | William E. Bell - Bridge building - 1857 - 250 pages
...and b'e therefore equal. (As. 13.) Proposition IX. Theorem. • When tteo triangles have two angles and the included side of the one, equal to two angles and the included tide of the other, each to each, the two triangles are equal. In the triangles ABC and DEF, let the... | |
 | William E. Bell - Bridges - 1859 - 226 pages
...extent, and be therefore equal. (Ax. 13.) Proposition IX. Theorem. When two triangles have two angles and the included side of the one, equal to two angles and the included tide of the other, each to each, the two triangles are equal. 1n the triangles ABC and DEF, let the... | |
 | Evan Wilhelm Evans - Geometry - 1862 - 116 pages
...Therefore, BG is greater than EF. Hence, if two triangles, etc. THEOREM XL Tf iwo 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, they are equal throughout. Let ABC, DEF, be two triangles having the angles A and B respectively... | |
 | Charles Davies - Geometry - 1864 - 358 pages
...applied the one to the other, the equal parts will coincideTHEOREM VIf two triangles have two angles and the included side of the one, equal to two angles and the mcluded side of the other, each to each, ihe two triangles will be equalLet the two triangles ABC and... | |
 | Samuel Alsop - Surveying - 1865 - 440 pages
...and EDH, are equal in all respects. Hence, AFQ and AEC, having two angles and the included side of one equal to two angles and the included side of the other, are equal in all respects; therefore AG = AC. Finally, ABC and ABG have two sides and their included... | |
 | C. Davies - 1867 - 342 pages
...the equal parts will coincideTHEOREM vIf two triangles have two angles and the included side of tht one, equal to two angles and the included side of the other, each to each, the two triangles will be equalLet the two triangles ABC and DEF have the angle A equal... | |
 | Bernhard Marks - Geometry - 1869 - 180 pages
...parallelogram, the interior alternate angles r and m are equal. Then the two triangles adb, bdc, have two angles and the included side of the one equal to two angles and the included side of the other, each to each, and are therefore equal; And the side ab opposite the angle m is equal to the side cd... | |
 | Isaac Stone - Educational tests and measurements - 1869 - 272 pages
...diagonals of any parallelogram mutually bisect each other. 21"2. Any two triangles having two angles and the included side of the one equal to two angles and the included side of the other, each to each, are equal. 213. A triangle is equivalent to half a parallelogram of equal hase and altitude,... | |
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VIf two 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... 
