 | Mathematical association - 1883 - 86 pages
...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... | |
 | 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,... | |
 | Association for the improvement of geometrical teaching - Geometry, Modern - 1884 - 150 pages
...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... | |
 | Mathematical association - 1884 - 146 pages
...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... | |
 | F. B. Stevens - Examinations - 1884 - 202 pages
...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... | |
 | New York (N.Y.). Board of Education - Education - 1885 - 990 pages
...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... | |
 | Charles Davies, Adrien Marie Legendre - Geometry - 1885 - 538 pages
...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... | |
 | Edward Mann Langley, W. Seys Phillips - 1890 - 538 pages
...congruent. The student would do well to learn the enunciation in the subjoined form : — 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... | |
 | Seth Thayer Stewart - Geometry, Modern - 1891 - 422 pages
...PC, QD, QE, and QF are equal. The triangles PAC and Q 0 E are, then, isosceles triangles, and they have the three sides of the one equal to the three sides of the other, each to each. The same is true of the triangles PAB and QDF; and, also, of PBC and QF E. The corresponding... | |
 | Seth Thayer Stewart - Geometry - 1891 - 428 pages
...: / 2 3 and 456 being any two triangles, etc. PROPOSITION III. 134. Theorem : If two triangles have three sides of the one equal to the three sides of the other, each to cucli, they are equal in all their parts. Statement: Let the two triangles AC B and H FE have... | |
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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. 
