 The line joining the midpoints of two sides of a triangle is parallel to the third side and equal to one-half of it.  Plane Geometry - Page 78by Fletcher Durell - 1904 - 372 pagesFull view - About this book
 | Edward West Nichols - Geometry, Analytic - 1892 - 300 pages
...the sides opposite meet in a point. 7. Prove that the line joining the middle points of two of the sides of a triangle is parallel to the third side and is equal to one-half of it. 8. The co-ordinates of two of the opposite vertices of a square are (2, 1) and (4, 3) ; required... | |
 | 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... | |
 | 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... | |
 | 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... | |
 | 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... | |
 | 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.... | |
 | 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... | |
 | Nathan Fellowes Dupuis - Geometry - 1894 - 313 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... | |
 | Wooster Woodruff Beman, David Eugene Smith - Geometry - 1895 - 344 pages
...parallel passes through the vertex, th. 27 or cor. 1 proves it. Draw the figure. 3. The line joining the mid-points of two sides of a triangle is parallel to the third side. For if not, suppose through the mid-point of one of those sides a line is drawn parallel to the base... | |
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