 | James Andrew Blaikie, William Thomson - Geometry - 1891 - 154 pages
...and - EF ; show that CA || and = FD. 8 16. (Sookwork, EUCLID, I. 1-34.) 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 mid-point of a... | |
 | 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... | |
 | 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,... | |
 | George Bruce Halsted - Geometry - 1896 - 208 pages
...cuts off the same fraction of the other side. 310. Inverse. The sect joining the mid points of any two sides of a triangle is parallel to the third side, and equal to half of it. 311. Corollary. The sect joining points which bound with any vertex of a triangle the same... | |
 | Euclid, John Bascombe Lock - Euclid's Elements - 1892 - 188 pages
...triangle parallel to the other two sides bisect those sides. 25. The line joining the middle points of two sides of a triangle is parallel to the third side. 26. The lines joining the middle points of the sides of a triangle divide the triangle into four triangles... | |
 | Euclid - Geometry - 1892 - 460 pages
...34 Hence AY = YC; that is, AC is bisected at YQED 2. The straight line which joins the middle points of two sides of a triangle, is parallel to the third side. Let ABC be a A , and Z, Y the middle points of the sides AB, AC: then shall ZY be par1 to BC. Produce... | |
 | Seth Thayer Stewart - Geometry - 1893 - 262 pages
...xx., Cor. i.) ; .-., e = fand а = dif. of _Ls. 4. The straight line joining the points of bisection of two sides of a triangle is parallel to the third side. Through one point of bisection draw a line | to the third side ; it will pass through the other point... | |
 | William Chauvenet - 1893 - 340 pages
...AC. See now Proposition VII. and Proposition XXIX. 29. The straight line joining the middle points of two sides of a triangle is parallel to the third side. (v. Exercise 28.) 30. The three straight lines joining the middle points of the aides of a triangle... | |
 | George Albert Wentworth, George Anthony Hill - Geometry - 1894 - 150 pages
...which can be drawn from a point to a straight line. 2. 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. 3. Two parallel tangents intercept equal arcs on the circumference of a circle. 4. If AD and BE are... | |
 | Webster Wells - Geometry - 1894 - 400 pages
...drawn from D to the middle point of AC will be parallel to BC. [The line joining the middle points of two sides of a triangle is parallel to the third side.] (§ 130.) Then this line will coincide with DE. [But one straight line can be drawn through a given... | |
| |
The line joining the midpoints of two sides of a triangle is parallel to the third side and equal to one-half of it. 
