 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.  Mathematics, mechanics, heat - Page 21by American School (Chicago, Ill.) - 1903Full view - About this book
 | 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 in... | |
 | 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 the... | |
 | 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. 37).... | |
 | Charles Davies - Mathematics - 1867 - 186 pages
...three sides of the other, each to each, the triangles will be equal 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... | |
 | C. Davies - 1867 - 342 pages
...the alternate angles, ABD and BDC are equal (Th- xii) : moreover, the side BD is common; honce the two triangles have two sides and the included angle of the one, equal to two sides and the included angle : f die other: the triangles are therefore equal, and consequently,... | |
 | Edward Brooks - Geometry - 1868 - 284 pages
...but EGB equals D.EF, being alternate ; hence, ABC equals DEF. Therefore, etc. TRIANGLES. THEOREM VI. 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 will be equal in all... | |
 | Bernhard Marks - Geometry - 1869 - 170 pages
...other ? What do you think of the areas of the triangles ? d bcef 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... | |
 | Richard Wormell - Geometry, Plane - 1870 - 304 pages
...greater is greater than the angle opposite the less (§76). On the equality of triangles. 12. When two triangles have two sides and the included angle of the one respectively equal to two sides and the included angle of the other, the triangles are equal in all... | |
 | Bernard Marks - Geometry - 1871 - 172 pages
...other ? What do you think of the areas of the triangles ? d bcef 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... | |
 | Charles Davies - Geometry - 1872 - 464 pages
...(A. 8). Hence, CB must be the prolongation of AC ; which was to be proved. PROPOSITION V. 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 triangles will be equal in all... | |
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