 | 1897 - 154 pages
...the same base are between the same parallels. Shew that the straight line joining the middle points of two sides of a triangle is parallel to the third side. 2. Draw a tangent to a circle from a given point without its circumference. Shew that two tangents... | |
 | George Albert Wentworth - Geometry - 1898 - 462 pages
...transversal AC; that is, the line DE bisects AC. 189. COR. 2. The line which joins the middle points of two sides of a triangle is parallel to the third side, and is equal to haJf the third side. For, a line drawn through D, the middle point of AB, II to BC, passes through... | |
 | Webster Wells - Geometry - 1898 - 250 pages
...= 2 rt. A.) MISCELLANEOUS THEOREMS. PROP. XLVII. THEOREM. 130. 77;e line joining the middle points of two sides of a triangle is parallel to the third side, and equal to one-half of it. B Given line DE joining middle points of sides AB and AC, respectively, of... | |
 | John Henry Tanner, Joseph Allen - Geometry, Analytic - 1898 - 458 pages
...each other, and are at right angles. 10. Prove analytically that the line joining the middle points of two sides of a triangle is parallel to the third side and equal to half its length. 11. Find the locus of the vertex of a triangle whose base is 2 a and the... | |
 | John Henry Tanner, Joseph Allen - Geometry, Analytic - 1898 - 424 pages
...perpendicular from each vertex to the opposite sides meet in a point ; 39. the line joining the middle points of two sides of a triangle is parallel to the third side. 40. Show that the equation 56 z2 - 441 xy - 56 y2 - 79 x - 47 y + 9 = 0 represents the bisectors of... | |
 | George Albert Wentworth - Geometry - 1899 - 498 pages
...transversal AC; that is, the line DE bisects AC. 189. COB. 2. 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. A line drawn through D, the middle point of AB, II to BC, passes through E, the middle point of AC,... | |
 | George Albert Wentworth - Geometry, Plane - 1899 - 278 pages
...transversal AC; that is, the line DE bisects AC. 189. COR. 2. 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. A line drawn through D, the middle point of AB, II to BC, passes through E, the middle point of AC,... | |
 | George Albert Wentworth - Geometry, Solid - 1899 - 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 to half the sum of the bases.... | |
 | Charles Austin Hobbs - Geometry, Plane - 1899 - 266 pages
...diagonals and the included angle are given. Proposition 64. Theorem. 76. The line joining the middle points of two sides of a triangle is parallel to the third side, and is equal to one half the third side. B 57 Conclusion. DE is II to BC, and DE = \ BC. Proof. Draw CF II to BA, to... | |
 | 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 to the base... | |
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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. 
