| 1851 - 268 sider
...the ends of the sides of a riangle there be drawn a straight line aa point within the triangle, these shall be less than the other two sides of the triangle, but shall contain a greater angle. 2. In any right angled triangle the square which is described on the side sub-tending the right angle... | |
| London univ - 1852 - 358 sider
...given straight line of unlimited length, from a given point without it. 5. If from the ends of a side of a triangle, there be drawn two straight lines to a point within the triangle, these shall be less than the other two sides of the triangle, but shall contain a greater angle. 6. The straight... | |
| Sir James Kay-Shuttleworth - 1853 - 522 sider
...ends of the sides of a triangle there he drawn a straight line to a point -within the triangle, these shall be less than the other two sides 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 - 146 sider
...greater than AB. Therefore any two sides, &c. QED PROP. XXI. — THEOKEM. If from, the ends of the side of a triangle, there be drawn two straight lines to a point within the triangle, these shall be less than the other two sides of the triangle, but shall contain a greater angle. Let the... | |
| Euclides - 1853 - 176 sider
...a b. Therefore any two sides, ¡fee. QED PROPOSITION XXI. — THEOREM. If from Hie ends of the side of a triangle there be drawn two straight lines to a point within the triangle, these shall be less than the other two sides of the triangle, but shall contain a greater angle. LET the... | |
| Royal Military Academy, Woolwich - 1853 - 400 sider
...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 to a point within the triangle, these shall be less than the other two sides of the triangle, but shall contain a greater angle. Let the... | |
| Euclides - 1853 - 334 sider
...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... | |
| John Playfair - 1855 - 340 sider
...B to C ; therefore BC is less than BA+AC or BA+AOBC. PROP. XXI. THEOR. If from the ends of one side of a triangle, there be drawn two straight lines to...two straight lines BD, CD be drawn from B, C, the ends'ot the side BC of the triangle ABC, to the point D within it; BD and DC 'are less than the other... | |
| John Playfair - 1855 - 334 sider
...one side of a triangle, there be drawn two straight linen to a point within the triangle, these tti'D lines shall be less than the other two sides of the triangle, but shall contain a greater angle. Produce BD to E; and because two sides of a triangle (20. 1.) are greater than the third side, the... | |
| Euclides - 1855 - 270 sider
...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.... | |
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