| Mary W I. Shilleto - 1882
...to confine themselves to one paper, but to make use of the whole set. (a) 1. If two triangles have **the three sides of the one equal to the three sides of the other, each to each,** the triangles must be equal in all respects. From every point of a given line, the lines drawn to each... | |
| Edward Olney - Geometry - 1883 - 354 pages
...coincide, and are consequently equal. QED PROPOSITION VII. 305. Theorem.— Two triangles which have **the three sides of the one equal to the three sides of the other, each to each, are** equal. DEMONSTRATION. Let ABC and DEF be two triangles, in which AB = DE, AC = DF, and BO = EF. We... | |
| Education - 1890
...surface or solid) and a mathematical figure (as area or volume). 3. Prove that if two triangles have **the three sides of the one equal to the three sides of the other, each to each,** the triangles are equal. 4. Jf the area of a triangle, whose shortest side is six feet, is 4 .4 square... | |
| Mathematical association - 1883
...being greater than the angle of the other. [By Rule of Conversion.] THEOR. 18. If two triangles have **the three sides of the one equal to the three sides of the other, each to each,** then the triangles are identically equal, and of the angles those are equal which are opposite to equal... | |
| Association for the improvement of geometrical teaching - Geometry, Modern - 1884 - 150 pages
...drawn to D the middle point of BC, shew that the angle ADB is acute. THEOR. 18. If two triangles have **the three sides of the one equal to the three sides of the other, each to each,** then the triangles are identically equal, and of the angles those are equal which are opposite to equal... | |
| Mathematical association - 1884
...drawn to D the middle point of BC, shew that the angle ADB is acute. THEOK. 18. If two triangles have **the three sides of the one equal to the three sides of the other, each to each,** then the triangles are identically equal, and of the angrles those are equal which are opposite to... | |
| F. B. Stevens - Examinations - 1884 - 202 pages
...product of its altitude and half the sum of its parallel sides. (LOOMIS.) 1. If two triangles have **the three sides of the one equal to the three sides of the other, each to each,** the three angles will also be equal, each to each, and the triangles themselves will be equal. 2. Two... | |
| New York (N.Y.). Board of Education - Education - 1885 - 990 pages
...angles in the other, each to each, the two triangles are equal in all respects. If two triangles have **the three sides of the one equal to the three sides of the other, each to each,** the two triangles are equal, and the equal angles are opposite the equal sides. If two sides of a triangle... | |
| Adrien Marie Legendre, Charles Davies - Geometry - 1885 - 540 pages
...EF, then is the angle BAC greater than the angle EDF. PROPOSITION X. THEOREM. If two triangles have **the three sides of the one equal to the three sides of the other, each to each,** the triangles are equal in all respects. In the triangles ABC and DEF, let AB be equal to DE, AC to... | |
| Canada. Department of the Interior - 1888 - 756 pages
...7 5 i 8 8 8 8 8 11 11 [PART n] GEOMETRY. Time, 3 hours. 1. If two triangles have the three sides of **one equal to the three sides of the other, each to each,** the triangles shall be eqnal in all respects. 2. Parallelograms on equal bases and between the same... | |
| |