 | 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...of the triangle, but shall contain 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,... | |
 | 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... | |
 | William Somerville Orr - Science - 1854 - 534 pages
...ADr=BA+ AC, .'. BA+AC is greater than BC. 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 (BD, CD) to a point within the triangle, these shall be together less-titan the other two sides (AB,... | |
 | Euclides - 1855 - 270 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.... | |
 | W F. Richards - Elementary school teaching - 1856 - 198 pages
...the base, equal to one another, and likewise those which are terminated in the other extremity. 2. If from the ends of a side of a triangle there be...of the triangle, but shall contain a greater angle. 3. If two triangles have two sides of the one equal to two sides of the other, each to each, and one... | |
 | 1856 - 376 pages
...extremity of the base, equal to another, and likewise those which are terminated in the other extremity. 2. If from the ends of a side of a triangle there be...of the triangle, but shall contain a greater angle. 3. If two triangles have two sides of the one equal to two sides of the other, each to each, and one... | |
 | Cambridge univ, exam. papers - 1856 - 200 pages
...the exterior angle is greater than either of the interior opposite angles. 4. If from the ends of the side of a triangle, there be drawn two straight lines...the triangle, these shall be less than the other two aides of the triangle, but shall contain a greater angle. 5. If a straight line fall upon two parallel... | |
 | Cambridge univ, exam. papers - 1856 - 252 pages
...sides equal to them, of the other. 2. The greater side of every triangle subtends the greater angle. 3. If from the ends of a side of a triangle, there be drawn two right lines to a point within the triangle, these shall be less than the other two sides of the triangle,... | |
 | Euclides - 1856 - 168 pages
...B C. XXII.— EUCLID 1. 21. If from the ends of the sides of a triangle two straight lines be drawn to a point within the triangle, these shall be less than the other sides of the triangle, but shall include a greater angle. Let the two straight lines BD, CD (Pig. 15)... | |
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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... 
