 | Wooster Woodruff Beman, David Eugene Smith - Geometry - 1895 - 346 pages
...concave, convex, and cross quadrilaterals, and for the special case of an interior angle of 180°.) 168. The lines joining the mid-points of the opposite sides...other. Consider for the special cases mentioned in ex. 167. 169. The line joining the mid-points of the diagonals of a quadrilateral, and the lines joining... | |
 | Wooster Woodruff Beman, David Eugene Smith - Geometry - 1895 - 344 pages
...concave, convex, and cross quadrilaterals, and for the special case of an interior angle of 180°.) 168. The lines joining the mid-points of the opposite sides...other. Consider for the special cases mentioned in ex. 167. 169. The line joining the mid-points of the diagonals of a quadrilateral, and the lines joining... | |
 | Wooster Woodruff Beman, David Eugene Smith - Geometry - 1899 - 416 pages
...here e easily proved by prop. XXVII, cor. 2 ; for if a = b, then a' = V ; but p II e, .: p -La', .-. x = b = a.) a, b' 113. The lines joining the mid-points...of its opposite sides, pass through the same point. 118. P and Q are the mid-points of the sides AB and CD of the parallelogram ABCD. Prove that PD and... | |
 | Wooster Woodruff Beman, David Eugene Smith - Geometry - 1899 - 412 pages
...angle of 180°.) 116. The lines joining the mid-points of the opposite sides of a quadri- •/" lateral bisect each other. Consider for the special cases...of its opposite sides, pass through the same point. 118. P and Q are the mid-points of the sides AB and CD of parallelogram ABCD. Prove that PD and BQ... | |
 | Wooster Woodruff Beman, David Eugene Smith - Geometry - 1900 - 400 pages
...easily proved by prop. XXVII, cor. 2 ; for if a = 6, then a' = V ; but p II e, .- . p -L a', .'. x = b = a.) *"~ b' 113. The lines joining the mid-points of...ex. 115. 117. The line joining the mid-points of the diagpnals of a quadrilateral, and the lines joining the mid-points of its opposite sides, pass through... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1901 - 394 pages
...quadrilateral and the midpoints of the diagonals determine the vertices of a parallelogram. * Ex. 278. The lines joining the midpoints of the opposite sides of a quadrilateral and the line joining the midpoints of the diagonals meet in a point. (Exs. 277, 274.) Ex. 279. The... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1901 - 396 pages
...quadrilateral and the midpoints of the diagonals determine the vertices of a parallelogram. * Ex. 278. The lines joining the midpoints of the opposite sides of a quadrilateral and the line joining the midpoints of the diagonals meet in a point. (Exs. 277, 274.) Ex. 279. The... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1902 - 394 pages
...quadrilateral and the midpoints of the diagonals determine the vertices of a parallelogram. * Ex. 278. The lines joining the midpoints of the opposite sides of a quadrilateral and the line joining the midpoints of the diagonals meet in a point. (Exs. 277, 274.) Ex. 279. The... | |
 | Arthur Schultze - 1901 - 260 pages
...quadrilateral and the midpoints of the diagonals determine the vertices of a parallelogram. * Ex. 278. The lines joining the midpoints of the opposite sides of a quadrilateral and the line joining the midpoints of the diagonals meet in a point. (Exs. 277, 274.) Ex. 279. The... | |
 | Fletcher Durell - Geometry - 1911 - 553 pages
...the same plane), show that the lines joining the midpoints of the sides form a parallelogram. Ex. 19. The lines joining the midpoints of the opposite sides of a quadrilateral in space bisect each other. Ex. 20. The planes bisecting the dihedral angles of a trihedral angle meet... | |
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The lines joining the mid-points of the opposite sides of a quadrilateral bisect each other. 
