 | William James Milne - Geometry - 1899 - 398 pages
...two straight lines drawn between the same two points, which by Ax. 12 is impossible. Consequently, the line joining the middle points of two sides of a triangle is parallel to the third side. Proposition XLIII 160. Draw a trapezoid and a line connecting the middle points of the... | |
 | William James Milne - Geometry, Modern - 1899 - 258 pages
...two straight lines drawn between the same two points, which by Ax. 12 is impossible. Consequently, the line joining the middle points of two sides of a triangle is parallel to the third side. Proposition XLIII 160. Draw a trapezoid and a line connecting the middle points of the... | |
 | Webster Wells - Geometry - 1899 - 424 pages
...line parallel to AC. (Sum of A at B = 2 rt. A.) A MISCELLANEOUS THEOREMS. PROP. XLVII. THEOREM. 130. The line joining the middle points of two sides of a triangle is parallel to the third side, and equal to one-half of it. Given line DE joining middle points of sides AB and AC, respectively,... | |
 | Seymour Eaton - 1899 - 362 pages
...equal bases and have the same altitude, they shall be equal to one another. 2. Prove that the straight line joining the middle points of two sides of a triangle is parallel to the third side. Lesson No. 19 PROPOSITION 42. PROBLEM To describe a parallelogram that shatt be equal to... | |
 | George Albert Wentworth - Geometry, Modern - 1899 - 272 pages
...equal parts on the transversal AC; that is, the line DE bisects AC. 189. COR. 2. The line which joins the middle points of two sides of a triangle is parallel to the third side, and is equal to half the third side. A line drawn through D, the middle point of AB, II... | |
 | George Albert Wentworth - Geometry, Solid - 1899 - 246 pages
...base of a triangle and bisects one side, it bisects the other side also. 189. The line which joins the middle points of two sides of a triangle is parallel to the third side, and is equal to half the third side. 190. The median of a trapezoid is parallel to the... | |
 | George Albert Wentworth - Geometry - 1899 - 500 pages
...equal parts on the transversal AC; that is, the line DE bisects AC. 189. COR. 2. The line which joins the middle points of two sides of a triangle is parallel to the third side, and is equal to half the third side. A line drawn through D, the middle point of AB, II... | |
 | Charles Hamilton Ashton - Geometry, Analytic - 1902 - 306 pages
...problems 6, 7, and 8 lie on a line, and find the ratio of their distances from each other. 7410. Show that the line joining the middle points of two sides of a triangle is parallel to the third side and equal to one half of it 11. Show that the diagonals of a square or rhombus are perpendicular... | |
 | Euclid, Henry Sinclair Hall, Frederick Haller Stevens - Euclid's Elements - 1900 - 330 pages
...sides supplementary, the triangles are equal in area. ON PROP. 39. 10. The straiijht line which joins the middle points of two sides of a triangle is parallel to the third side. 11. If two straight lines AB, CD intersect in O, so that the triangle AOC M equal to the... | |
 | Alan Sanders - Geometry, Modern - 1901 - 260 pages
...from AC and BC. (?) "" ' '. ^ .•. 0 is equally distant from AB and BCPROPOSITION XXXIX. THEOREM 238. The line joining the middle points of two sides of a triangle is parallel to the third side, and equal to one half of it. « Let DE join the middle points of AB and BC. To Prove DE... | |
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The line joining the middle points of two sides of a triangle is parallel to the third side and equal to half of the third side. 
