 | Euclides - 1874 - 120 pages
...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... | |
 | Edward Atkins - 1874 - 428 pages
...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... | |
 | Francis Cuthbertson - Euclid's Elements - 1874 - 400 pages
...former, which is impossible. Hence it follows that PROPOSITION XVII. If from the ends of one 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. '~D a -#... | |
 | Robert Potts - Geometry - 1876 - 446 pages
...straight line, a plane rectilineal angle, a right angle, a Gnomon. Enunciate Euclid's Postulates. 2. 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. C . If two... | |
 | Education Department,London - 1876 - 1010 pages
...equal to one another. Show that the segments of BG, CF, in Euclid's figure, are equal, each to each. 3. If from the ends of the side of a triangle there be...straight lines to a point within the triangle, these shall be together less than the other two sides of the triangle, but shall contain a greater angle.... | |
 | Euclides, James Hamblin SMITH - 1876 - 382 pages
...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... | |
 | Richard Wormell - 1876 - 268 pages
...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. .... | |
 | Henry Major - 1876 - 784 pages
...angles, shall be equal. Why is no construction required in this theorem ? 3. 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. PUPIL TEACHERS... | |
 | Edward Atkins - 1876 - 130 pages
...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... | |
 | Euclides - 1878 - 398 pages
...double of the line joining the vertex and the point of bisection, s. E. 8 PROPOSITION XXI. THEOREM. //, from, the ends of the side of a triangle, there be...straight lines to a point within the triangle ; these will be together less than the other sicfcs of the triangle, but will contain a greater angle. Let... | |
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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. 
