 | 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... | |
 | Edward Brooks - Geometry - 1868 - 284 pages
...Therefore, the triangles coincide and are equal in all their parts. Therefore, etc. « THEOREM VIL If two triangles have two angles and the included...to two angles and the included side of the other, each to each, the triangles will be equal in all their parts. Let ABC and DEF be two triangles having... | |
 | Bernhard Marks - Geometry - 1869 - 180 pages
...? Why does the line de fall exactly upon the line a I? 5 ce / DEMONSTRATION. We wish to prove that, If two triangles have two angles, and the included...to two angles and the included side of the other, each to each, ilie two triangles are equal to each other in all respects. Let the triangles abc and... | |
 | Isaac Stone - Educational tests and measurements - 1869 - 278 pages
...angles. 211. Two diagonals of any parallelogram mntually bisect each other. 212. 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, arc equal. 213. A triangle is equivalent to half a parallelogram of equal base and altitude.... | |
 | Isaac Stone - Educational tests and measurements - 1869 - 272 pages
...211. Two 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,... | |
 | Charles Davies - Geometry - 1870 - 392 pages
...to each, are equal : for if applied the one to the other, the equal parts will coincide. THEOREM v. If two triangles have two angles and the included...to two angles and the included side of the other, each to each, the two triangles will be equal. Let the two triangles ABC and DEF have the angle A equal... | |
 | Bernard Marks - Geometry - 1871 - 172 pages
...does the line de fall exactly upon the line ab? » ce / DEMONSTRATION. We wish to prove that, //' tiro triangles have two angles, and the included side of...to two angles and the included side of the other, each to each, the two triangles are equal to each other in all respects. Let the triangles abc and... | |
 | Elias Loomis - Geometry - 1871 - 302 pages
...to the angle AGE (Prop V.) ; and, by construction, BG is equal to GA ; hence the triangles BGF, AGE have two angles and the included side of the one,...equal to two angles and the included side of the other ; they are, therefore, equal (Prop. VII.) ; and the angle BFG is equal to the angle AEG. But AEG is,... | |
 | Adrien Marie Legendre - Geometry - 1871 - 490 pages
...their parts (I., D. 14) ; which was to be proved. PROPOSITION VI. THEOREM. If two triangles have t1oo angles and the included side of the one equal to two angles and the included side of the other, each to each, the triangles will be equal in all their parts. In the triangles ABC and DEF, let the... | |
 | Charles Davies - Geometry - 1872 - 464 pages
...in all their pa1ls (I., D. 14) ; which was to be proved. PROPOSITION VI. THEOREM. If two tria11gles 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 triangles mill be equal in all their parts. In the triangles ABC and DEF, let the... | |
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If 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 equal. 
