 | John Playfair - Euclid's Elements - 1842 - 332 pages
...from B to C ; therefore BC is less than BA+AC or BA+AC>BC. PROP. XXI. THEOR. If from the ends of one side of a triangle, there be drawn two straight lines to a point within the triangle, these two lines shall be less than the other two sides of the triangle, but shall contain a greater angle.... | |
 | Education - 1844 - 688 pages
...produced, the angles upon the other side of the base shall be equal. 3. If from the ends of the sides 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. 4. The straight... | |
 | Euclid - Geometry - 1845 - 218 pages
...than CA, and BC, CA greater than AB. Therefore any two sides, &c. QED PROPOSITION XXI. THEOB. — If from the ends of the side of a triangle, there be...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... | |
 | Great Britain. Council on Education - 1845 - 696 pages
...equal to one another. 58."The greater side of every triangle is opposite to the greater angle. 59. If from the ends of the side of a triangle there be drawn...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. 60.*If the... | |
 | Euclides - 1845 - 546 pages
...are greater than AB. 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 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 ABC... | |
 | Great Britain. Admiralty - Geometry - 1846 - 128 pages
...(AB + BC > AC, Similarly, { BC J AC > AB. Wherefore any two sides, &c. PROP. XX. THEOR. 21. lEu. If from the ends of the side of a triangle, there be...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 ABC... | |
 | Great Britain. Admiralty - Geometry - 1846 - 128 pages
...BD>BC; B'D = AB + AC, 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...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.... | |
 | Euclid, John Playfair - Euclid's Elements - 1846 - 334 pages
...greater than CA, and BC, CA greater than AB. SCHOLIUM. E PROP. XXI. THEOR. If from the ends of one side of a triangle, there be drawn two straight lines to a point within the triangle, these two lines shall be less than the other two sides of the triangle, but shall contain a greater angle.... | |
 | 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.... | |
| |
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... 
