| Marianne Nops - 1882 - 278 pages
...proposition. SUMMARY OP PROPOSITION VIII., THEOREM 5. If in two triangles the, three sides of one are **equal to the three sides of the other each to each, the triangles are equal** in all respects. Cons.— Nil. AAA Proof. — By superposition. If the triangles do not coincide I.... | |
| Mary W I. Shilleto - 1882 - 418 pages
...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 of two given... | |
| Education - 1890 - 384 pages
...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 feet, what is the area... | |
| Mathematical association - 1883 - 86 pages
...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... | |
| Edward Olney - Geometry - 1883 - 352 pages
...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.... | |
| F. B. Stevens - Examinations - 1884 - 202 pages
...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 parallels... | |
| Association for the improvement of geometrical teaching - Geometry, Modern - 1884 - 150 pages
...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 - 146 pages
...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... | |
| Charles Davies, Adrien Marie Legendre - Geometry - 1885 - 538 pages
...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 DF, and BC to EF : then... | |
| New York (N.Y.). Board of Education - Education - 1885 - 990 pages
...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... | |
| |