 | Horatio Nelson Robinson - Geometry - 1860 - 470 pages
...to each; then BC = DE + EC. But DE + EC, is greater than DC. Therefore BC>DC. Hence the theorem ; if two triangles have two sides of one equal to two sides of the other, etc. THEOREM XXIII. A perpendicular is the shortest line that can be drawn from any point to... | |
 | Eli Todd Tappan - Geometry, Modern - 1864 - 288 pages
...demonstration would not be changed. 394. Theorem — Conversely, if two triangles have two sides of the one equal to two sides of the other, and the third sides unequal, then the angles opposite the third sides are unequal, and that is greater which is opposite the greater... | |
 | Eli Todd Tappan - Geometry - 1868 - 444 pages
...demonstration would not be changed. 294. Theorem — Conversely, if two triangles have hvo sides of the one equal to two sides of the other, and the third sides unequal, then the angles opposite the third sides are unequal, and that is greater which is oppos)te the greater... | |
 | Eli Todd Tappan - Geometry - 1873 - 288 pages
...demonstration would not be changed. 294. Theorem. — Conversely, if two triangles have two aides of the one equal to two sides of the other, and the third sides unequal, then the angles opposite the third sides are unequal, and that is greater which is opposite the greater... | |
 | Isaac Sharpless - Geometry - 1879 - 282 pages
...GHDH common./ , (I. 2), £tf + HF > EF \BG'> EF. (Constr.), EG = BC/ Proposition 23. Theorem. — If two triangles have two sides of one equal to two sides of the other, each to each, but the third sides unequal, the angle contained by the two sides of the one which... | |
 | Olaus Henrici - Congruences (Geometry) - 1879 - 218 pages
...greater angle. § 194. The converse also holds — Theorem : If two triangles have two sides of the one equal to two sides of the other, and the third sides unequal, then the angles opposite these third sides are unequal, and that is the greater which is opposite the... | |
 | Education Ministry of - 1880 - 238 pages
...to be answered. _ 1. From a given point draw a straight line equal to a given straight line. 2. If two triangles have two sides of one equal to two sides of the other, each to each, and likewise their bases equal, the two triangles shall be equal in every respect.... | |
 | Education Ministry of - 1882 - 292 pages
...questions to be answered. 1. Prom a given point draw a straight line equal to a given straight line. 2. If two triangles have two sides of one equal to two sides of the other, each to each, and likewise their bases equal, the two triangles shall bo equal in every respect.... | |
 | Isaac Sharpless - Geometry - 1882 - 286 pages
...Sclcolium. — This proposition shows that if we have two triangles of any shape, in which we can find two sides -of one equal to two sides of the other, and also the angles contained by these equal sides equal to each other, it is safe to conclude that the... | |
 | Richard Anthony Proctor - Geometry - 1887 - 202 pages
...a separate proposition — of which we shall presently have occasion to make use. PROP. II. — If two triangles have two sides of one equal to two sides of the other, each to each, and the angles opposite one pair of equal sides equal ; then, if G the angles... | |
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If two triangles have two sides of one equal to two sides of the other but the third side of the first greater than the thin! 
