Can you make a triangle so that one of its sides shall be less than the difference between the other two, or equal to the difference ? Ex. 5. If you have two triangles with only one side and one angle in the one equal to one side and one angle in the... A Treatise on Special Or Elementary Geometry - Page 31by Edward Olney - 1882 - 239 pagesFull view - About this book
| Edward Olney - Geometry - 1872 - 472 pages
...triangle, which side is opposite the greatest angle ? Which op. posite the least angle ? Ex. 2. If you hare two triangles with an angle in each equal, but the...is it with the third sides of the triangles ? 76. TJ,eorem. — The lines which Used the angles of a triangle meet within the triangle at a common point.... | |
| William Thomson Baron Kelvin, Peter Guthrie Tait - Mechanics, Analytic - 1872 - 316 pages
...former, is equal to OE. Similarly OL is equal to OF. Thus there are two triangles, MLO and EOF, with two sides of one respectively equal to two sides of the other, and the contained angles equal : therefore the remaining sides OM, EF are equal, and the angles LOM,... | |
| William Frothingham Bradbury - Geometry - 1872 - 124 pages
...drawn through the point of bisection and joining the parallels is bisected. 79. If two triangles have two sides of one respectively equal to two sides of the other, but the included angles unequal, the third side of the one having the included angle greater is greater... | |
| William Frothingham Bradbury - Geometry - 1872 - 262 pages
...f)gure; draw BE bisecting the angle CHS, and join C and E.) 80. (Converse of 79.) If two triangles have two sides of one respectively equal to two sides of the other, but the third sides unequal, the included angle of the one having the third side greater is greater... | |
| Edward Olney - Geometry - 1877 - 272 pages
...side and one angle in the other, can you apply one as a pattern and make it fit on the other ?- *, &xd out two such triangles and try it. Ex. 6. If you have...is it with the third sides of the triangles ? 76. Theorem.—The lines which bisect the angles of a triangle meet within the triangle at a common point.... | |
| Edward Olney - 1879 - 278 pages
...I describe an arc from D as a centre, and in like manner, with BC as radius and E as a centre, Fia. 56. describe another arc. Through the intersections...of the triangles ? 76. Theorem. — The lines which Usect the angles of a triangle meet within the triangle at a common point. ILL. — Try it, by drawing... | |
| Edward Olney - Geometry - 1879 - 502 pages
...I describe an arc from D as a centre, and in like manner, with BC as radius and E as a centre, FlG. describe another arc. Through the intersections of...of the triangles ? 76. Theorem. — The lines which Used the angles of a triangle meet within the triangle at a common point. ILL. — Try it, by drawing... | |
| William Frothingham Bradbury - Geometry - 1880 - 260 pages
...equal (80); hence DE=EC But (29) AE+ED>AD THEOREM XX. CONVERSE OF THEOREM 102i If two triangles have two sides of one respectively equal to two sides of the other, but the third sides unequal, the angle opposite this third side is greater in the triangle in which... | |
| Euclides - 1885 - 340 pages
...one another. Exercises. 1. Every median of a triangle bisects the triangle. 2. If two triangles have two sides of one respectively equal to two sides of the other, and the contained angles supplemental, their areas are equal. 3. If the base of a triangle be divided... | |
| Euclid, John Casey - Euclid's Elements - 1885 - 340 pages
...one another. Exercises. 1. Every median of a triangle bisects the triangle. 2. If two triangles have two sides of one respectively equal to two sides of the other, and the contained angles supplemental, their areas are equal. 3. If the base of a triangle be divided... | |
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