 | 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... | |
 | Wooster Woodruff Beman, David Eugene Smith - Geometry - 1899 - 412 pages
...the third side. Draw a third parallel through the vertex. Then cor. 1 proves it. 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... | |
 | Wooster Woodruff Beman, David Eugene Smith - Geometry, Modern - 1899 - 272 pages
...mid-point of one side of a triangle, parallel to another side, bisects the third side. 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... | |
 | Thomas Franklin Holgate - Geometry - 1901 - 462 pages
...AB produced in F. Prove that AB is a mean proportional between AD and AF, ie AD : AB = AB : AF. 3. The straight line which joins the mid-points of two sides of a triangle is parallel to the third side. 4. The straight line drawn through the mid-point of one side of a triangle parallel to... | |
 | Arthur Schultze - 1901 - 260 pages
...trapezoid, and parallel to the base, bisects the other non-parallel side. PROPOSITION XXXIX. THEOREM 147. A line which joins the midpoints of two sides of a triangle is parallel to the third side and equal to half of it. B a Hyp. In A ABC: AD = DB, AE = EC. To prove 1°. DE II BC. 2°.... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1901 - 396 pages
...trapezoid, and parallel to the base, bisects the other non-parallel side. PROPOSITION XXXIX. THEOREM 147. A. line which joins the midpoints of two sides of a triangle is parallel to the third side and equal to half of it. \ Hyp. In A ABC: AD = DB, AE = EC.. To prove 1°. DE II BC. 2°.... | |
 | Arthur Schultze - 1901 - 392 pages
...trapezoid, and parallel to the base, bisects the other non-parallel side. PROPOSITION XXXIX. THEOREM 147. A line which joins the midpoints of two sides of a triangle is parallel to the third side and equal to half of it. BC Hyp. In A ABC: AD = DB, AE = EC. To prove 1°. DE II BC. 2°.... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1902 - 394 pages
...trapezoid, and parallel to the base, bisects the other non-parallel side. PROPOSITION XXXIX. THEOREM: 147. A line which joins the midpoints of two sides of a triangle is parallel to and equal to half of the third side. Hyp. In A ABC: AD = DB, AE = EC. To prove 1°. DE II BC. Proof.... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1901 - 394 pages
...trapezoid, and parallel to the base, bisects the other non.parallel side. PROPOSITION XXXIX. THEOREM 147. A line which joins the midpoints of two sides of a triangle is parallel to and equal to half of the third side. B o Hyp. In A ABC: AD = DB,AE=EC. To prove 1°. DE II BC. 2°.... | |
 | Arthur Schultze - 1901 - 260 pages
...parallel to the base, bisects the other non.parallel side. PROPOSITION XXXIX. THEOREM 147. A line tvhich joins the midpoints of two sides of a triangle is parallel to the third side and equal to half of it. Hyp. \ B In A ABC: To prove 1". DE II BC. 2°. DE = \BC. Proof.... | |
| |
A line which joins the midpoints of two sides of a triangle is parallel to the third side and equal to half of it. 
