 | 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 opposite to... | |
 | 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 be equal. 2. Two... | |
 | 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 sides of a triangle... | |
 | 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 to DE, AC to... | |
 | 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... | |
 | Robert Samuel Heath - Geometrical optics - 1888 - 250 pages
...right angles; therefore AP = BQ. Finally in the triangles AOP, BOQ, the three sides of the one are equal to the three sides of the other, each to each; therefore the angles AOP, BOQ are equal. This proves the proposition. Conversely, if two lines PO, OQ lie in... | |
 | 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... | |
 | James Wallace MacDonald - Geometry - 1894 - 76 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. 66. Construct an equilateral triangle having... | |
 | 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 opposite to... | |
 | 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 isosceles... | |
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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. 
