 | Edward Olney - 1883 - 352 pàgines
...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 pàgines
...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,... | |
 | Mathematical association - 1884 - 146 pàgines
...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...then the triangles are identically equal, and of the angrles those are equal which are opposite to equal sides. Let ABC, DEF be two triangles having the... | |
 | F. B. Stevens - 1884 - 202 pàgines
...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... | |
 | New York (N.Y.). Board of Education - 1885 - 990 pàgines
...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, Adrien Marie Legendre - 1885 - 538 pàgines
...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... | |
 | Canada. Department of the Interior - 1888 - 756 pàgines
...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... | |
 | James Wallace MacDonald - 1894 - 76 pàgines
...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. 66. Construct an equilateral triangle having... | |
 | James Wallace MacDonald - 1889 - 80 pàgines
...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... | |
 | Euclid - 1890 - 442 pàgines
...If two triangles have the three sides of the one respectively equal to the three sides of the other, then the triangles are identically equal, and of the angles those are equal which are opposite equal sides. Let the A 8 be placed so that — i°, a pair of equal sides may have a coincident position... | |
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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. 
