 | Edward Olney - Geometry - 1883 - 352 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 - 376 pages
...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...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... | |
 | Mathematical association - 1884 - 146 pages
...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... | |
 | Charles Davies, Adrien Marie Legendre - Geometry - 1885 - 538 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...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... | |
 | 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... | |
 | Charles Davies - Geometry - 1886 - 352 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... | |
 | 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 parallels are... | |
 | James Wallace MacDonald - Geometry - 1889 - 80 pages
...the triangles are equal. Proposition XXVIII. A Theorem. 65. If two triangles have the three sides of one equal to the three sides of the other, each to each, the triangles are equal. Proposition XXIX. A Problem. Proposition XXX. A Problem. 67. Construct a triangle having... | |
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If two triangles have the three sides of the one equal to the three sides of the other, each to each, the triangles are congruent. 
