 The line joining the midpoints of two sides of a triangle is parallel to the third side and equal to one-half of it.  Solid Geometry - Page 311by Fletcher Durell - 1904 - 206 pagesFull view - About this book
 | George Albert Wentworth - 1889 - 276 pages
...in the bisector is unequally distant from the sides. 70. Theorem. 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. 71. Theorem. A straight line drawn parallel to the base of a triangle,... | |
 | George Albert Wentworth - 1889 - 264 pages
...in the bisector is unequally distant from the sides. 70. Theorem. 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. 71. Theorem. A. straight line drawn parallel to the base of a triangle,... | |
 | Nathan Fellowes Dupuis - History - 1889 - 370 pages
...triangle, parallel to a second side, bisects the third side. And, 2, the line through the middle points of two sides of a triangle is parallel to the third side. 85°. Theorem. — The three medians of a triangle pass through a common point. CF and AD are medians... | |
 | Edward Albert Bowser - Geometry - 1890 - 418 pages
...latter intercept = 0. .-. BC-DE = DE. .-. DE = £BC. QED 155. COR. 1. The line joining the middle points of two sides of a triangle is parallel to the third side, and equal to half of it. 156. COR. 2. Let ABCD be a trape- D/ - <.C zoid, AG = GD, and Gil || to AB. _/... | |
 | Euclid - Geometry - 1890 - 442 pages
...is terminated by the sides, or the sides produced. 66 C THEOREM (13)— The join of two mid points of two sides of a triangle is parallel to the third side, and half of it. In A ABC let D be the mid pt. of AB, and E of AC. Join DE ; and produce it to F, so that... | |
 | Edward Mann Langley, W. Seys Phillips - 1890 - 538 pages
...diagonals of a quadrilateral bisect each other it must be a parallelogram. Ex. 65. — The join of the mid-points of two sides of a triangle is parallel to the base and equal to half of it. Ex. 66.— The straight line through the mid-point of one side of a triangle... | |
 | James Andrew Blaikie, William Thomson - Geometry - 1891 - 160 pages
...quadrilateral bisect each other, the quadrilateral shall be a parallelogram. § 16, Ex. 1. The straight line which joins the mid.points of two sides of a triangle is parallel to the base and equal to half of it ; and, conversely, the straight line drawn through the midpoint of a side... | |
 | Seth Thayer Stewart - Geometry - 1891 - 426 pages
...straight line drawn from the middle point, etc. Corollary I. The straight line joining the middle points of two sides of a triangle is parallel to the third side and equal to one-half of it. PROPOSITION XXII. 161. Theorem : The perpendiculars bisecting the sides of... | |
 | Seth Thayer Stewart - Geometry, Modern - 1891 - 428 pages
...perpendiculars to it from the other vertices. 4. The straight line joining the points of bisection of two sides of a triangle is parallel to the third side. 5. If a straight line be drawn through any vertex of a parallelogram so as not to intersect the parallelogram,... | |
 | Rupert Deakin - Euclid's Elements - 1891 - 102 pages
...of its medians into two triangles of equal area. 6. The straight line which joins the middle points of two sides of a triangle is parallel to the third side. XXXII. 1. The straight lines drawn through the middle points of the sides of a triangle perpendicular... | |
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