 Each of the three straight lines which join the angular points of a triangle to the middle points of the opposite sides is called a Median of the triangle.  Text book of geometry - Page 149by Thomas Steadman Aldis - 1872Full view - About this book
 | Harvey Goodwin - Mathematics - 1851 - 196 pages
...perpendiculars from a point within the triangle bisecting the sides, prove that abc abc pqr 20*. If lines be drawn from the angular points of a triangle to the middle points of the opposite sides, the triangle will be divided into six equal parts. 21. If a perpendicular be let fall from the vertex... | |
 | Royal Military Academy, Woolwich - Mathematics - 1853 - 476 pages
...of a triangle divide each other in the ratio of 1 : 2. 8. If L be the point of intersection of the lines drawn from the angular points of a triangle to the middle points of the opposite sides ; M that of the perpendiculars upon the sides from the opposite angles ; and N that of the perpendiculars... | |
 | Euclides - 1862 - 140 pages
...parallelogram into five equal parts, by straight lines drawn through one of the angles. 53. The three straight lines drawn from the angular points of a triangle to the points of bisection of the opposite sides, pass through the same point, and trisect each other in that... | |
 | George Holmes Howison, Joseph Ray - Geometry, Analytic - 1869 - 622 pages
...miilway between x"y" and x"'y'" , or, show that, in general, the equations to the lines from the vertices of a triangle to the middle points of the opposite sides are (y" +y-2y )x-(x" +x"'-Zx' ly+(«" y- -y" * )+(x"'y' -y'V )=0, (y'"+y' -2y" )x-(x"'+x' -2x" )y~(x'"y"-y"'x")+(x'y"-,/... | |
 | Gerardus Beekman Docharty - Calculus - 1865 - 328 pages
...Ans.y=x+l. 7. Describe the circle whose equation is 8. Describe the circle whose equation is . 9. Prove that the straight lines drawn from the angular points of a triangle to bisect the sides, "pass through the same point. Let the lines CF, BE, and AD bisect the opposite sides... | |
 | Euclides - 1874 - 342 pages
...the base and the vertex, according as the vertical angle is obtuse, right, or acute. 66. The three straight lines drawn from the angular points of a triangle to the points of bisection of the opposite sides, pass through the same point, and trisect each other in that... | |
 | James Andrew Blaikie - 1878 - 184 pages
...is the same as that of the whole figure cut out of paper. 16. Show that the three lines which join the angular points of a triangle to the middle points of the opposite sides, meet in a point. 17. Find by a geometrical construction the centre of gravity of— (1) A quadrilateral;... | |
 | Great Britain. Civil Service Commission - 1880 - 670 pages
...it also holds for their magnitude. Prove that three forces represented in magnitude and direction by the straight lines drawn from the angular points of...triangle to the middle points of the opposite sides respectively will be in equilibrium. 2. The algebraical sum of the moments of two forces, whose lines... | |
 | Charles Smith - Conic sections - 1883 - 388 pages
...satisfy the third equation. This principle is of frequent use. Ex. The three straight lines joining the angular points of a triangle to the middle points of the opposite sides meet in a point. Let the angular points A , B, C be (x', y'), (x", y") , (x"', y"') , respectively.... | |
 | Woolwich roy. military acad - 1884 - 148 pages
...the other sides, or those sides produced, proportionally. Shew that two straight lines drawn from two angular points of a triangle to the middle points of the opposite sides enclose with those two sides a quadrilateral, whose area is one-third of the area of the triangle.... | |
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