Books Books
The straight line joining the middle points of two sides of a triangle is parallel to the third side, and equal to half of it.
Elements of Euclid [selections from book 1-6] adapted to modern methods in ... - Page 68
by Euclides - 1874

## The Essentials of Geometry

Webster Wells - Geometry - 1899 - 424 pages
...line parallel to AC. (Sum of A at B = 2 rt. A.) A MISCELLANEOUS THEOREMS. PROP. XLVII. THEOREM. 130. The line joining the middle points of two sides of...parallel to the third side, and equal to one-half of it. Given line DE joining middle points of sides AB and AC, respectively, of A ABC. To Prove DE II BC,...

## The Elements of Plane Geometry

Charles Austin Hobbs - Geometry, Plane - 1899 - 240 pages
...construct a rhomboid when the two 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...

## Plane Geometry

William James Milne - Geometry, Modern - 1899 - 258 pages
...two straight lines drawn between the same two points, which by Ax. 12 is impossible. Consequently, the line joining the middle points of two sides of a triangle is parallel to the third side. Proposition XLIII 160. Draw a trapezoid and a line connecting the middle points of the non-parallel...

## Plane and Solid Geometry

William James Milne - Geometry - 1899 - 398 pages
...two straight lines drawn between the same two points, which by Ax. 12 is impossible. Consequently, the line joining the middle points of two sides of a triangle is parallel to the third side. Proposition XLIII 160. Draw a trapezoid and a line connecting the middle points of the non-parallel...

## Plane Geometry

George Albert Wentworth - Geometry, Plane - 1899 - 272 pages
...equal parts on the 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...

## Plane and Solid Geometry

George Albert Wentworth - Geometry - 1899 - 500 pages
...equal parts on the 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...

## Solid Geometry, Volumes 6-9

George Albert Wentworth - Geometry, Solid - 1899 - 246 pages
...base of a 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...

## Pure Mathematics 2

Linda Bostock, Suzanne Chandler, F. S. Chandler - Algebra - 1979 - 660 pages
...In Questions 1—8 give proofs based on vector methods. 1) Prove that the line joining the midpoints of two sides of a triangle is parallel to the third side and equal to half of it. 2) Prove that the internal bisectors of the angles of a triangle are concurrent. 3) Prove...