| Edward Atkins - 1874 - 428 Seiten
...greater than AB. Therefore any two sides, &c. QED Proposition 21. — Theorem. If from the ends of t/ie side of a triangle there be drawn two straight lines to a point within the triangle, these shall be las titan the other two sides of the triangle, but shall contain a greater angle. Let ABC be a triangle,... | |
| Euclides - 1874 - 120 Seiten
...quadrilateral are together greater than its two diagonals. PROPOSITION 21. THEOREM. If from the ends of ike side of a triangle there be drawn two straight lines to a point within the triangle, these slutll be less than the other two sides of the triangle, but shall contain a greater angle. j Let ABC... | |
| Euclid, James Bryce, David Munn (F.R.S.E.) - 1874 - 236 Seiten
...THEOREM. (Euc. I. 21.) If from the extremities of one side of a triangle, two straight lines be drawn to a point within the triangle, these shall be less than the other two sides, but sliall contain a greater angle. Let BO and CO be drawn from the ends of the side BC to any point... | |
| Euclides - 1874 - 342 Seiten
...two sides, &c. QED PROPOSITION 21. — Theorem. If from the ends of a side of a triangle, there lie drawn two straight lines to a point within the triangle, these shall lie less than the other two sides of the triangle, but shall contain a greater angle. Let ABC be a... | |
| Robert Potts - 1876 - 446 Seiten
...greater than AB. Therefore any two sides, &c. QED PROPOSITION XXL THEOREM. If from the ends of a tide of a triangle, there be drawn two straight lines to...triangle ; these shall be less than the other two tides of the triangle, but shall contain a greater angle. Let ABC be a triangle, and from the points... | |
| Euclides, James Hamblin SMITH - 1876 - 382 Seiten
...more than double of the line joining the vertex and the point of bisection. PROPOSITION XXI. THEOREM. If, from the ends of the side of a triangle, there...straight lines to a point within the triangle ; these will be together less than the other sides of the triangle, but will contain a greater angle. Let ABC... | |
| Henry Major - 1876 - 784 Seiten
...one another. What is a corollaiij ? Give the corollary to this proposition. 2. If from the ends of a side of a triangle there be drawn two straight lines to a point within the triangle ; these shall he less than the other two sides of the triangle, but shall contain a greater angle. What is the construction... | |
| Education Department,London - 1876 - 1010 Seiten
...opposite sides of every quadrilateral rectangular figure are parallel to each other. If from the ends of a side of a triangle there be drawn two straight lines to a point within the triangle, these shall contain an angle greater than that contained by the other two sides of the triangle. 4. Define a square... | |
| Richard Wormell - 1876 - 268 Seiten
...Any two angles of a triangle are together less than two right angles. .. . 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 sides of the triangle, but shall contain a greater angle. .... | |
| Edward Atkins - 1876 - 130 Seiten
...than AC ; and BC, CA greater than AB. Therefore any two sides, &e. QED Proposition 21. — Theorem. Jf 'from the ends of the side of a triangle there be drawn lico straight lines to a point within the tnangle, these shall be lass than the. other two sides of... | |
| |