| Education - 1890
...physical ligure (as 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
...has the greater base 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... | |
| Edward Olney - Geometry - 1883 - 354 pages
...triangles 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.... | |
| Euclides, James Hamblin Smith - 1883
...sides which subttnd them are also equal. (Kucl. I. 6.) SE PROPOSITION C. THEOREM. If two triangles ham **the three sides of the one equal to the three sides of the** otlwr, each to each, the triangles must be equal in all respects. Let the three sides of the A s ABC,... | |
| F. B. Stevens - Examinations - 1884 - 202 pages
...trapezoid is equal to the 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...each, and the triangles themselves will be equal.** 2. Two parallels intercept equal arcs on a circumference. 3. In any triangle, if a straight Hue is... | |
| Mathematical association - 1884
...less than AC and AD is 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... | |
| Association for the improvement of geometrical teaching - Geometry, Modern - 1884 - 150 pages
...less than AC and AD is 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... | |
| New York (N.Y.). Board of Education - Education - 1885 - 990 pages
...side and two adjacent 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
...DF, and BC greater than 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 DF,... | |
| Charles Davies - Geometry - 1886 - 346 pages
...former is called a direct, and the latter an indirect demonstration. THEOREM VIII. If two tnangles **have the three sides of the one equal to the three...sides of the other, each to each, the three angles** wiU also be equal, each to each. Let the two triangles ABC, ABD, have the side AB equal to the side... | |
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