| 1882
...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... | |
| Euclides - 1883 - 96 sider
...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 there be drawn two straight lines to a point within the triangle, these** two lines shall be less than the two sides of the triangle, but shall contain a greater angle. Given... | |
| Joseph Hughes - 1883
...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
...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... | |
| Stewart W. and co - 1884
...line MO, and therefore the angle NOM shall coincide with angle KMO, and is therefore equal to it. QED **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. Write out... | |
| Euclides - 1884
...opposite to it. Axiom 2. 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...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... | |
| Euclides - 1884
...semi-perimeter is less, than the sum of the three medians. PROPOSITION 21. THEOREM. If from the ends of any **side of a triangle there be drawn two straight lines...within the triangle, these straight lines shall be** together less than the other two sides of the triangle, but shall contain a greater angle. A Let ABC... | |
| Euclides - 1884
...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
...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... | |
| 1885
...(1) and (2) are not to be worked by male candidates. II. [15] GEOMETRY. Time, 1 luour 30 min. ]. It **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 sides of the triangle, but will contain a greater angle. -. If... | |
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