 | Education - 1890 - 384 pages
...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... | |
 | F. B. Stevens - Examinations - 1884 - 202 pages
...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... | |
 | Association for the improvement of geometrical teaching - Geometry, Modern - 1884 - 150 pages
...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... | |
 | Mathematical association - 1884 - 146 pages
...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... | |
 | Charles Davies, Adrien Marie Legendre - Geometry - 1885 - 538 pages
...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... | |
 | New York (N.Y.). Board of Education - Education - 1885 - 990 pages
...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... | |
 | Canada. Department of the Interior - 1888 - 756 pages
...No. of Marks. 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 - Geometry - 1894 - 76 pages
...are equal, and 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 - Geometry - 1889 - 80 pages
...are equal, and 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... | |
 | William Ernest Johnson - Plane trigonometry - 1889 - 574 pages
...all respects; so that BS '= AS. Similarly CS= AS, .'. BS = CS. .'. the triangles BDS, CDS having the three sides of one equal to the three sides of the other, are equal in all respects. .". DS is at right-angles to BC. Since AS, BS, CS are equal to one another,... | |
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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. 
