 From 56 and 57 the pupils should learn that two triangles are equal in every respect (a) when two sides and the included angle of one are equal to two sides and the included angle of the other...  Plane and Solid Geometry - Page 64by William James Milne - 1899 - 384 pagesFull view - About this book
 | Charles Waterhouse - Arithmetic - 1842 - 178 pages
...are Demonstrably true: — 1. Two triangles are equal when two sides and the included angle of the one are equal to two sides and the included angle of the other, each to each. 2. In an isosceles triangle, the angles opposite to the equal sides are equal. 3. Of the two sides... | |
 | Charles WATERHOUSE - Arithmetic - 1844 - 228 pages
...is opposite the longer aids. 6. Two triangles ore equal when two sides and the included angle of the one are equal to two sides and the included angle of the other, each to each. 7. Every triangle is half of a parallelogram of the same base and altitude. 8. In a right-angled triangle,... | |
 | Elias Loomis - Conic sections - 1849 - 252 pages
...are equivalent. They are also equivalent, if they have two sides, and the included 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... | |
 | Charles Davies - Trigonometry - 1849 - 372 pages
...ECF. FCA. 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 tc each, the two triangles will be equal Let the side ED be equal to the side BA, the side DF to the... | |
 | Charles Davies - Geometry - 1850 - 238 pages
...equal parts. Then, the two triangles A CD and DCB, have two sides and the included angle of the one equal to two sides and the included angle of the other, each to each : that is, the side AC equal to BC, the side CD common, and the included angle ACD equal to the included... | |
 | Charles Davies - Logic - 1850 - 402 pages
...themselves will be equal." Prop. V. " When two triangles have two tides 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." Axiom I. " Things which are equal to the same thing, are equal to... | |
 | Charles Davies - Geometry - 1850 - 218 pages
...equal parts. Then, the two triangles A CD and DCB, have two sides and the included angle of the one equal to two sides and the included angle of the other, each to each: that is, the side AC equal to BC, the side CD common, and the included angle ACD equal to the included... | |
 | Adrien Marie Legendre - Geometry - 1852 - 436 pages
...sphere, or on equal spheres, are equal in all their parts, when two sides and the included angle of the one are equal to two sides and the included angle of the other, each to each. Let ABC, EFG, be two triangles having the side AB=UF, the side AC— EG, and the angle BA C=FEG•,... | |
 | Charles Davies - Geometry - 1886 - 340 pages
...I- Th- xiv) : hence, the two mangles A UP and BCE have two sides and the included angle of the one equal to two sides and the included angle of the other, each to each ; consequently, they are equal (Bk- I- Th- iv)If then, from the whole space ABCF we take away the trIangle... | |
 | Charles Davies - Geometry - 1854 - 436 pages
...sphere, or on equal spheres, are equal in all their parts, when two sides and the included angle of the one are equal to two sides and the included angle of the other, each to each. Let ABC, EFG, be two triangles having the side AB=EF, the side AC=EG, and the angle BAC—FEG; then... | |
| |
