 | 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...the triangle, but shall contain a greater angle. Let ABC be a triangle, and from the points B, C, the ends of the side BC, let the two straight lines BD,... | |
 | 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...angle. Let the two straight lines BD, CD be drawn from B, C, the ends of the side BC of the triangle ABC, to the point D within it : BD and DC are less than... | |
 | 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...the triangle, but shall contain a greater angle. Let ABC be a ^\; from B, C, the ends of the side BC, draw BD, CD, from the point D within the ^\; then... | |
 | 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...of the triangle, but shall contain a greater angle. 1'rup. 5. Ax. 9. Prop. 18. Let ABC be a ^\; from B, C, the ends of the side BC, draw BD, CD, from the... | |
 | 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 - 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...of the triangle, but shall contain a greater angle. PART. ENUN. — Let ABC be a A. From B, c, the extremities of the side BC, draw the st. lines BD, CD,... | |
 | 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...of the triangle, but shall contain a greater angle. PROP. XXII. PROBLEM. To make a triangle of which the sides shall be equal to three given straight lines,... | |
 | Euclid, Thomas Tate - 1849 - 120 pages
...are greater than CA, and 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...angle. Let the two straight lines BD, CD be drawn from B, c, the ends of the side BC of the triangle ABC, to the point D within it; BD and DC are less than... | |
 | John Playfair - Euclid's Elements - 1849 - 332 pages
...triangle, these two lines shall be less than the other two sides of the triangle, but shall contajf 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, to the point D within it; BD and DC are less than... | |
 | 1851 - 268 pages
...EUCLID. SECTION I; 1. If from the ends of the sides of a riangle there be drawn a straight line aa point within the triangle, these shall be less than...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... | |
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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. Let... 
