 | Great Britain. Admiralty - Geometry - 1846 - 128 pages
...Prop. a. AB + AC> BC. Wherefore any two sides, &c. PROP. XX. THEOR. 21. lEu. 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. 1'rup. 5.... | |
 | Euclides - 1846 - 292 pages
...AC, CB, greater than AB. Wherefore, Any two sides §c. QED PROP. XXI. THEOR. 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. Let the... | |
 | Euclides - 1847 - 128 pages
...from two gn. pts. c, D, &c. — QEF PROP. XXI. THEOR. GEN. ENUN. — If, from the ends of one aide 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. PART. ENUN.... | |
 | Euclides - 1848 - 52 pages
...sides of a triangle are together greater than the third side. PROP. XXI. THEOREM. 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. PROP. XXII.... | |
 | Euclid, Thomas Tate - 1849 - 120 pages
...BC, CA greater than AB. Therefore any two sides, &c. QED PROP. 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... | |
 | London univ - 1852 - 358 pages
...a 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... | |
 | Euclides - 1853 - 146 pages
...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... | |
 | Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...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 - Geometry - 1853 - 176 pages
...than 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... | |
 | Euclides - Geometry - 1853 - 334 pages
...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... | |
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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. 
