| Royal Military Academy, Woolwich - 1853
...greater than AB. Therefore any two sides, etc. QED PROPOSITION XXI. THEOR. If from the ends of the **side of a triangle there be drawn two straight lines...of the triangle, but shall contain a greater angle.** Let the two straight lines BD, CD be drawn from B, C, the ends of the side BC of the triangle ABC,... | |
| Sir James Kay-Shuttleworth - 1853 - 500 pagina’s
...THIS PAPER.) Section I. 1. If from the ends of the sides of a triangle there he drawn a straight line **to a point -within the triangle, these shall be less...of the triangle, but shall contain a greater angle.** 2. In any right angled triangle, the square which is described on the side subtending the right angle... | |
| Euclides - 1853
...together greater than the third. Which was to be proved. PEOP. XXI. THEOE. If from the extremities of any **side of a triangle there be drawn two straight lines to a point within the triangle** : then these two straight lines shall together be less than the other two sides of the triangle, and... | |
| William Somerville Orr - 1854
...ADr=BA+ AC, .'. BA+AC is greater than BC. Therefore any two sides, &c. QED PROPOSITION XXI.— THEOREM. **If from the ends of a side of a triangle there be drawn two straight lines** (BD, CD) to a point within the triangle, these shall be together less-titan the other two sides (AB,... | |
| Euclides - 1855
...same points to any other point in the given straight line. PROP. XXI. THEOREM. If from the ends of one **side of a triangle, there be drawn two straight lines to a point within the triangle, these** together shall be less than tfte other two sides of the triangle, but shall contain a greater angle.... | |
| W. F. RICHARDS - 1856 - 184 pagina’s
...the base, equal to one another, and likewise those which are terminated in the other extremity. 2. **If from the ends of a side of a triangle there be...of the triangle, but shall contain a greater angle.** 3. If two triangles have two sides of the one equal to two sides of the other, each to each, and one... | |
| 1856
...extremity of the base, equal to another, and likewise those which are terminated in the other extremity. 2. **If from the ends of a side of a triangle there be...of the triangle, but shall contain a greater angle.** 3. If two triangles have two sides of the one equal to two sides of the other, each to each, and one... | |
| Cambridge univ, exam. papers - 1856
...the exterior angle is greater than either of the interior opposite angles. 4. If from the ends of the **side of a triangle, there be drawn two straight lines...the triangle, these shall be less than the other two** aides of the triangle, but shall contain a greater angle. 5. If a straight line fall upon two parallel... | |
| Cambridge univ, exam. papers - 1856
...sides equal to them, of the other. 2. The greater side of every triangle subtends the greater angle. 3. **If from the ends of a side of a triangle, there be drawn two** right lines to a point within the triangle, these shall be less than the other two sides of the triangle,... | |
| Euclides - 1856
...B C. XXII.— EUCLID 1. 21. If from the ends of the sides of a triangle two straight lines be drawn **to a point within the triangle, these shall be less than the other** sides of the triangle, but shall include a greater angle. Let the two straight lines BD, CD (Pig. 15)... | |
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