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 46 INTERCEPTS BY PARALLEL LINES. Euclid - Page 99by Euclid, Rupert Deakin - 1903 - 164 pagesFull view - About this book
| Charles Austin Hobbs - Geometry, Plane - 1899 - 266 pages
...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... | |
| William James Milne - Geometry, Modern - 1899 - 258 pages
...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... | |
| William James Milne - Geometry - 1899 - 404 pages
...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... | |
| Wooster Woodruff Beman, David Eugene Smith - Geometry - 1899 - 412 pages
...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... | |
| Wooster Woodruff Beman, David Eugene Smith - Geometry, Modern - 1899 - 272 pages
...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 to the base;... | |
| Charles Hamilton Ashton - Geometry, Analytic - 1902 - 310 pages
...on a line, and find the ratio of their distances from each other. 7410. Show that 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 11. Show that the diagonals of a square or rhombus are perpendicular to each other.... | |
| 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 that the... | |
| Howard Whitley Eves - Mathematics - 1983 - 292 pages
...FM, EN. Then FE is parallel to BC and equal to one-half of BC (the line segment joining the midpoints **of two sides of a triangle is parallel to the third side and** is equal to one-half the third side). Similarly, MN is parallel to BC and is equal to one-half of BC.... | |
| G.E. Martin - Mathematics - 1997 - 536 pages
...quadrilaterals in absolute geometry are contained in Theorem 22.4. • 22.16 The line through the midpoints **of two sides of a triangle is parallel to the third side.** 22.17 Theorem 22.17 could have followed Definition 21.9. Why didn't it? Would this rearrangement have... | |
| Research & Education Association Editors, Ernest Woodward - Mathematics - 2012 - 1080 pages
...product of the lac . . extremes: — - — ** ad - be \bd (2) A line segment which joins the midpoints **of two sides of a triangle is parallel to the third side** of the triangle, and its length is one-half the length of the third side. (3) If a line is parallel... | |
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