 | Horatio Nelson Robinson - 1860 - 470 σελίδες
...EC 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 - 1864 - 288 σελίδες
...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... | |
 | Horatio Nelson Robinson - 1868 - 276 σελίδες
...to each ; then BC = DE + E0. But DE + E0 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. Cot. Any point out of the perpendicular drawn from the middle point of a Hne, is unequally... | |
 | Eli Todd Tappan - 1868 - 444 σελίδες
...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 - 1873 - 288 σελίδες
...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 - 1879 - 282 σελίδες
...FH= 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 - 1879 - 218 σελίδες
...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 σελίδες
...questions 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 σελίδες
...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 - 1882 - 286 σελίδες
...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... | |
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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! 
