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" 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 Adapted to Modern Methods in Geometry - Page 68
by Euclid, James Bryce, David Munn (F.R.S.E.) - 1874 - 216 pages
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Connections Maths 10: Stage 5.2/5.1

Ajit Kalra, James Stamell - Juvenile Nonfiction - 2006 - 542 pages
...AB = ED, prove that С is the midpoint of AE. в Prove that the interval joining the midpoints of 2 sides of a triangle is parallel to the third side and equal to half its length. 14 ABC is an isosceles triangle in which AB = AC. BMand CNare drawn perpendicular...
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Acing the New SAT I Math

Education - 2004 - 352 pages
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Euclidean Geometry and Transformations

Clayton W. Dodge - Mathematics - 2004 - 310 pages
...of Menelaus' theorem, the following theorems are given. 4.4 Theorem The line joining the midpoints of two sides of a triangle is parallel to the third side. Let M and N be the midpoints of sides AB and CA of triangle ABC. (See Fig. 4.4.) Let line MN meet side...
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Exercises in Mathematics

David Beveridge Mair - Mathematics - 1914 - 469 pages
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A Textbook of Engineering Mathematics: For B.Sc. (Engg.). B.E., B.Tech., M.E ...

N. P. Bali, N. Ch. Narayana Iyengar - Engineering mathematics - 2004 - 1438 pages
...vectors represented by the other sides. (Punjab, 1986 S) 2. Prove that the line joining the mid-points of two sides of a triangle is parallel to the third side and half of it. (N. Bengal, 1989 ; Marathwada, 1990) 3. Prove that the lines joining the mid-points of...
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Vector Analysis

K. A. Stroud - Mathematics - 2005 - 366 pages
...QB-QB = 0 QB + QD = 0 Here is one more. Example 4 Prove by vectors that the line joining the mid-points of two sides of a triangle is parallel to the third side and half its length. Let D and E by the mid-points of AB and AC respectively. We have DE = M + ÄE Now...
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A Textbook Vector Algebra

Shanti Narayan - Vector algebra - 2005 - 270 pages
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New Sat Rea: The Very Best Coaching & Study Course

Mel Friedman, Lina Miceli, Robert Bell, Michael Lee, Sally Wood, Adel Arshaghi, Suzanne Coffield, Michael McIrvin, Anita Price Davis, Research & Education Association, George DeLuca, Joseph Fili, Marilyn Gilbert, Bernice E. Goldberg, Leonard Kenner - Study Aids - 2005 - 886 pages
...the slope of BC. Denote it by m. 4-0 _ 1 10 + 6~4 m We know that a segment that joins the midpoints of two sides of a triangle is parallel to the third side. So, DE is parallel to BC, and as a result they have the same slope. Therefore, the slope of DE is -...
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Advanced Engineering Mathematics, Volume 1

Dennis G. Zill, Michael R. Cullen - Differential equations - 2006 - 1066 pages
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