 | Charles Davies - Geometry - 1855 - 340 pages
...DEB (Ax- 3)In the same manner we may prove that the angle AED is equal to the angle CEBTHEOREM IV^ If two triangles have two sides and the included angle of the one, equal to two sides and the included angle of the o1l1er, each to each, the two triangles will be equalLet... | |
 | Samuel Simon Schmucker, S. S. (Samuel Simon) Schmucker - History - 1855 - 332 pages
...the nature, eg, of the demonstration of the theorem of Euclid known as Prop. IV. of Book I., 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, they must be identical or equal in all respects.... | |
 | Charles Davies, William Guy Peck - Electronic book - 1855 - 592 pages
...angles will also be equal, each to each, and the triangles themselves will bo equal." Prop. V. " When 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.... | |
 | George Roberts Perkins - Geometry - 1856 - 460 pages
...line which has the sum of the interior angles less than two right angles. OF TRIANGLES. THEOREM XX. If two triangles have two sides and the included angle of the one, equal to the two sides and the included angle of the other, the triangles will fie identical, or equal... | |
 | Elias Loomis - Conic sections - 1858 - 256 pages
...straight lines meeting in one point, are together equal to four right angles. PROPOSITION VI. THEOREM. 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,... | |
 | William E. Bell - Bridges - 1859 - 226 pages
...two quantities ; 8; AXS:BX8:: A:B; (AX8)XB=(BX8)XA, AX8:BX8::A:B. Proposition VIII. Theorem. Wlien two triangles have two sides and the included angle of the one equal to two sides and the included angle of tJn other, each to each, the two triangles are equal.... | |
 | George Roberts Perkins - Geometry - 1860 - 472 pages
...which has the sum of the interior angles less than two right angles. OF TRIANGLES. • THEOREM XX. If two triangles have two sides and the included angle of the one, equal to the two sides and the included angle of the other, the triangles will be identical, or equal... | |
 | Evan Wilhelm Evans - Geometry - 1862 - 116 pages
...it is less than the sum of AC and CB. Therefore, if two straight lines, etc. BOOK I. 21 THEOREM VII. 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, they are equal throughout. Let... | |
 | Eli Todd Tappan - Geometry, Modern - 1864 - 288 pages
...(594). 773. Corollary — The radius heing the same, two spherical triangles are equal, 1st. When they have two sides and the included angle of the one respectively equal to those parts of the other, and similarly arranged ; 2d. When they have one side and the adjacent angles... | |
 | Euclides - 1865 - 80 pages
...DEF, and C to DFE, the equal angles being always opposite to the equal sides. PROPOSITION XII. TIIEOR. 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 triangles are equal (Def.... | |
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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. 
