| 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,... | |
| 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... | |
| 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...of the triangle, but shall contain a greater angle.** 6. The straight lines which join the extremities of two equal and parallel straight lines towards the... | |
| Euclides - 1852 - 152 pages
...greater than AB. Therefore any two sides, &c. Q, ED D 4 iii 1. v. 1. xix. 1. BOOK L PROP. XXL THEOR. **If from the ends of the side of a triangle there be drawn** tiro straight lines to a point within the triangle, these shall be less than the other tico sides of... | |
| Euclides - 1853 - 176 pages
...С a greater than a b. Therefore any two sides, ˇfee. QED PROPOSITION XXI. — THEOREM. If from Hie **ends of the side of a triangle there be drawn two...contain a greater angle. LET the two straight lines bd,** С d be drawn from b, С, the ends of the side b С of the triangle ab С, to the point d within it... | |
| Sir James Kay-Shuttleworth - Church and education - 1853 - 522 pages
...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 - 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... | |
| John Playfair - Euclid's Elements - 1855 - 340 pages
...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,...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 - Geometry - 1855 - 336 pages
...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 - 262 pages
...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.... | |
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