 | Euclides - 1858 - 248 sider
...together with four tunes the square of the line between the points of section. 7. If a st. line be drawn from the vertex of a triangle to the middle point of the opposite side, the sum of the squares of the other sides is equal to twice the sum of the squares of... | |
 | Euclides - 1862 - 140 sider
...that point, and perpendiculars upon it from other two given points, may be equal. Prop. 35 to 48. 39. The straight line drawn from the vertex of a triangle to the point of bisection of the base, bisects any line parallel to the base, and terminated by the sides,... | |
 | Henry William Watson - 1871 - 320 sider
...than the sum of the sides of the triangle,* and greater than half their sum. 2. If a straight line be drawn from the vertex of a triangle to the middle point of the opposite side, prove that this line will be less than half the sum of the sides which meet in the vertex,... | |
 | Euclides - 1874 - 342 sider
...parallelogram, draw a straight line which shall divide the parallelogram into two equal parts. 51. The straight line drawn from the vertex of a triangle to the point of bisection of the base, bisects any line parallel to the base, and terminated by the sides,... | |
 | Edward Harri Mathews - 1879 - 94 sider
...equal When will the problem be impossible ? Section III. 1. Describe a circle about a given triangle. The straight line drawn from the vertex of a triangle to the middle point of the base shall be less than, greater than, or equal to half the base, according as the vertical angle is an... | |
 | Samuel Constable - 1882 - 222 sider
...above proof applied to fig. 2, evidently proves the important theorem, that "the straight line joining the vertex of a triangle to the middle point of the base bisects every parallel to the base." PROP. 5. The internal and external bisectors of any angle are... | |
 | Euclides - 1883 - 176 sider
...of the angles through which they pass, the figure is equilateral. 12. If the straight line joining the vertex of a triangle to the middle point of the base is also at right angles to the base, the triangle is isosceles. 13. If two straight lines bisect one another... | |
 | Association for the improvement of geometrical teaching - 1884 - 150 sider
...than AC. QED COR. The difference of any two sides of a triangle is less than the third side. *Ex. 1 8. The straight line drawn from the vertex of a triangle...point of the base is less than half the sum of the remaining sides. Use the construction of Theor. 9. Ex. 19. If O is a point within the triangle ABC,... | |
 | Mathematical association - 1884 - 146 sider
...AC. QED COR. The difference of any two sides of a triangle is less than the third side. D 2 *Ex. 1 8. The straight line drawn from the vertex of a triangle...point of the base is less than half the sum of the remaining sides. Use the construction of Theor. 9. Ex. 19. If O is a point within the triangle ABC,... | |
 | Seth Thayer Stewart - 1891 - 426 sider
...within a triangle to the three vertices are together less than the sum of the three sides. II. 6. A straight line drawn from the vertex of a triangle to the middle point of the base, makes with the base an obtuse or an acute angle, according as the side opposite is the greater or the... | |
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The straight line drawn from the vertex of a triangle to the middle point of the base is less than half the sum of the remaining sides. 
