 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.  An Elementary Geometry - Page 11by William Frothingham Bradbury - 1872 - 110 pagesFull view - About this book
 | 1872 - 398 pages
...lisccls the base, the triangle is isosceles. 1. When two triangles have two sides and included angle of one respectively equal to two sides and the included angle of the other, the triangles are equal in all respects. II. When two angles of a triangle are equal the opposite sides... | |
 | 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... | |
 | 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... | |
 | Eli Todd Tappan - Geometry - 1868 - 444 pages
...(594). 773. Corollary The radius being 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... | |
 | 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... | |
 | 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...two sides and the included angle of the other, the triangles are equal in all respects (§88 a). 13. When two triangles have two angles of the one respectively... | |
 | 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... | |
 | Henry William Watson - Geometry - 1871 - 320 pages
...the area of either of these triangles. " PROPOSITION 2. Two parallelograms which have two adjacent sides and the included angle of the one respectively equal to two adjacent sides and the included angle of the other are also equal in area. Fig•. 8. Let ABCD and... | |
 | William Frothingham Bradbury - Geometry - 1872 - 262 pages
...two angles and the included side of the one respectively equal to two angles and the included side of the other, the two triangles are equal in all respects. In the triangles ABC B and DEF, let the angle A equal the angle D, the angle C equal the angle F, and the side AC equal... | |
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