 | Education Ministry of - 1882 - 292 pages
...can be proved by a method similar to that employed in the 4th Proposition. 2. 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. Write out... | |
 | John Robertson (LL.D., of Upton Park sch.) - Examinations - 1882 - 152 pages
...parallelogram ABCD, bisect one another, and specify the propositions you employ. 5. 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 tides of the triangle, but shall contain a greater angle. 6. Inscribe... | |
 | Education - 1882 - 676 pages
...one another. What is a corollary ? 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 be less than the other two sides of the triangle, but shall contain a greater angle. What is... | |
 | Marianne Nops - 1882 - 278 pages
...of sides. I. 21. We pass to Prop. XXI., the last of this group of theorems. If from the ends of the side of a triangle there be drawn two straight lines to a point within it, these will be less than the other sides of the triangle, but will contain a greater angle. Let... | |
 | Euclides - 1883 - 176 pages
...the line joining the vertex to the middle point of the base. This line is called a median. PROP. 21. THEOR. If from the ends of one side of a triangle...the triangle, these two lines shall be less than the two sides of the triangle, but shall contain a greater angle. Given A ABC, and D, any point within... | |
 | Joseph Hughes - Education - 1883 - 568 pages
...the greater side, or has the greater side opposite to r. Prop. 19, Bk. I. 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 oiher two sides of the triangle, but shall contain a greater angje. Prop. 21,... | |
 | University of Glasgow - 1883 - 438 pages
...triangle be equal, the sides which subtend the equal angles shall also be equal. 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 be less than the other two sides of the triangle but shall contain a greater angle. 3. If a straight... | |
 | Euclides - 1884 - 94 pages
...1—26, BOOK I, ARE NOW PUBLISHED IN A SIMILAR FORM TO THIS. PROPOSITION XXL 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. Let be a... | |
 | Euclides - 1884 - 182 pages
...greater than AB. Wherefore any two sides, &c. QED 59. PROPOSITION XXI. — THEOREM. 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 two sides of the triangle, but shall contain a greater angle. Let ABC be a triangle,... | |
 | Euclides - 1884 - 214 pages
...If equals be added to equals the wholes are equal. PROPOSITION XXI. THEOREM. 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. In the triangle... | |
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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. 
