 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1901 - 396 pages
...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°. DE = iBC. • Proof. Draw... | |
 | Arthur Schultze - 1901 - 260 pages
...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°. DE = \BC. Proof. Draw... | |
 | 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... | |
 | 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
...thnt AB is a meau proportional between AD and AF, ie AD : AB — AE : 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... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1901 - 394 pages
...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, Frank Louis Sevenoak - Geometry - 1902 - 394 pages
...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.... | |
 | 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... | |
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The line joining the midpoints of two sides of a triangle is parallel to the third side and equal to one-half of it. 
