 | Arthur Schultze - 1901 - 392 pages
...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°. DE = \BC. Proof. Draw FB II AC, meeting... | |
 | Arthur Schultze - 1901 - 260 pages
...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°. DE = \BC. Proof. Draw FB II AC, meeting... | |
 | Edward Brooks - Geometry, Modern - 1901 - 278 pages
...and DF—AE; hence EC = AE, or AC is bisected at E. COR. — The line which joins the middle points of two sides of a triangle is parallel to the third side, and equal to half of it. For, in the same figure, the line through D \\ to AB passes through E (Th. I.); hence the line joining... | |
 | Alan Sanders - Geometry, Modern - 1901 - 260 pages
...equally distant from AB and BC. PROPOSITION 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. c Let DE join the middle points of AB and BC. To Prove I)E II to AC, and DE = \AC.... | |
 | Thomas Franklin Holgate - Geometry - 1901 - 462 pages
...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 a second side... | |
 | Eldred John Brooksmith - Mathematics - 1901 - 368 pages
...between the same parallels. Use this proposition to show that the straight line joining the middle points of two sides of a triangle is parallel to the third side. 3. Describe a parallelogram equal to a given rectilineal figure, and having an angle equal to a given... | |
 | George Albert Wentworth - Geometry, Solid - 1902 - 248 pages
...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 bases, and is equal... | |
 | Education - 1902 - 678 pages
...ihe same side of it, are between the same parallels. The straight line which joins the middle points of two sides of a triangle is parallel to the third side. (3) Describe a rectangle equal to a given irregular pentagon. (4) If the square described on one side... | |
 | Alan Sanders - Geometry - 1903 - 396 pages
...on the bisector BF. (§231.) QBD PROPOSITION 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. MC Let DE join the middle points of AB and BC. To Prove DE II to AC, and 7)£ = %AC.... | |
 | 1903 - 896 pages
...aiul 4A, 6 ami GA.] (EXAMINATION PAPERS. 137 Show that the straight line joining the middle points of two sides of a triangle is parallel to the third side, and that the triangle so formed is a quarter of the given triangle. -. Draw u straight line AB 4 inches... | |
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The line joining the mid-points of two sides of a triangle is parallel to the third side, and equal to half the third side. 
